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NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 200 grams measures a mass of 4500 grams and a chronograph with a precision of +/- 0.1 seconds measures a duration as 82.9 seconds. Your calculator gives the solution when multiplying the first number by the second number. If we express this solution to the right number of significant figures, what is the result?
A. 370000 gram-seconds
B. 373000 gram-seconds
C. 373050.00 gram-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An opisometer with a precision of +/- 0.4 meters takes a measurement of 50.1 meters, and a balance with a precision of +/- 0.3 grams reads 6.6 grams when measuring a mass. Using a calculator, you multiply the numbers and get the output. When this output is expressed to the correct number of significant figures, what do we get?
A. 330.66 gram-meters
B. 330.7 gram-meters
C. 330 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 100 meters measures a distance of 4100 meters and a cathetometer with a precision of +/- 0.0003 meters reads 0.0084 meters when measuring a distance between two different points. Using a calculator, you divide the first number by the second number and get the output. How would this result look if we wrote it with the appropriate number of significant figures?
A. 490000
B. 488095.24
C. 488000
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 300 meters takes a measurement of 900 meters, and a measuring rod with a precision of +/- 0.003 meters reads 0.004 meters when measuring a distance between two different points. You divide the first value by the second value with a calculator and get the output. If we round this output correctly with respect to the level of precision, what is the answer?
A. 225000.0
B. 200000
C. 225000
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 0.1 liters takes a measurement of 303.1 liters, and a measuring flask with a precision of +/- 0.03 liters measures a volume of a different quantity of liquid as 0.16 liters. You multiply the former number by the latter with a computer and get the solution. If we report this solution to the right level of precision, what is the answer?
A. 48 liters^2
B. 48.5 liters^2
C. 48.50 liters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A cathetometer with a precision of +/- 0.00002 meters measures a distance of 0.09463 meters and a chronometer with a precision of +/- 0.00003 seconds reads 0.06210 seconds when measuring a duration. After multiplying the former value by the latter your computer gives the solution. When this solution is expressed to the suitable level of precision, what do we get?
A. 0.0059 meter-seconds
B. 0.005877 meter-seconds
C. 0.00588 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An analytical balance with a precision of +/- 4 grams measures a mass of 1314 grams and a meter stick with a precision of +/- 0.0002 meters measures a distance as 0.0009 meters. After dividing the former value by the latter your calculator gives the solution. When this solution is reported to the suitable number of significant figures, what do we get?
A. 1460000.0 grams/meter
B. 1000000 grams/meter
C. 1460000 grams/meter
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 30 liters takes a measurement of 13370 liters, and a coincidence telemeter with a precision of +/- 0.1 meters reads 4.1 meters when measuring a distance. After dividing the first number by the second number your calculator app gives the solution. Round this solution using the suitable level of precision.
A. 3260 liters/meter
B. 3300 liters/meter
C. 3260.98 liters/meter
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A clickwheel with a precision of +/- 0.02 meters measures a distance of 2.12 meters and a timer with a precision of +/- 0.002 seconds measures a duration as 0.005 seconds. After dividing the first number by the second number your computer gives the output. Express this output using the appropriate level of precision.
A. 424.00 meters/second
B. 400 meters/second
C. 424.0 meters/second
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronograph with a precision of +/- 0.02 seconds takes a measurement of 87.83 seconds, and a caliper with a precision of +/- 0.04 meters measures a distance as 79.24 meters. Your calculator app yields the solution when dividing the first number by the second number. When this solution is written to the right number of significant figures, what do we get?
A. 1.1084 seconds/meter
B. 1.108 seconds/meter
C. 1.11 seconds/meter
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A caliper with a precision of +/- 0.03 meters measures a distance of 72.45 meters and a rangefinder with a precision of +/- 0.001 meters measures a distance between two different points as 0.765 meters. Using a computer, you multiply the first value by the second value and get the output. If we report this output appropriately with respect to the level of precision, what is the result?
A. 55.42 meters^2
B. 55.424 meters^2
C. 55.4 meters^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronograph with a precision of +/- 0.1 seconds takes a measurement of 56.4 seconds, and an analytical balance with a precision of +/- 0.4 grams measures a mass as 949.9 grams. You multiply the numbers with a calculator app and get the output. Using the appropriate number of significant figures, what is the answer?
A. 53574.4 gram-seconds
B. 53600 gram-seconds
C. 53574.360 gram-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 400 meters measures a distance of 825700 meters and a cathetometer with a precision of +/- 0.0004 meters reads 0.0010 meters when measuring a distance between two different points. Using a computer, you divide the former value by the latter and get the output. When this output is reported to the appropriate level of precision, what do we get?
A. 825700000.00
B. 830000000
C. 825700000
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring flask with a precision of +/- 0.04 liters measures a volume of 1.03 liters and a measuring flask with a precision of +/- 0.03 liters measures a volume of a different quantity of liquid as 89.48 liters. After dividing the former value by the latter your computer gets the solution. When this solution is reported to the proper number of significant figures, what do we get?
A. 0.0115
B. 0.01
C. 0.012
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A clickwheel with a precision of +/- 0.004 meters takes a measurement of 0.892 meters, and a coincidence telemeter with a precision of +/- 200 meters measures a distance between two different points as 54000 meters. Your calculator app gets the output when multiplying the former value by the latter. If we report this output to the right level of precision, what is the answer?
A. 48168.000 meters^2
B. 48100 meters^2
C. 48200 meters^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring stick with a precision of +/- 0.03 meters measures a distance of 3.24 meters and a chronograph with a precision of +/- 0.02 seconds reads 61.34 seconds when measuring a duration. Your calculator gets the output when dividing the numbers. When this output is reported to the suitable level of precision, what do we get?
A. 0.053 meters/second
B. 0.0528 meters/second
C. 0.05 meters/second
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An opisometer with a precision of +/- 4 meters takes a measurement of 2836 meters, and a timer with a precision of +/- 0.4 seconds measures a duration as 60.2 seconds. You multiply the values with a calculator app and get the solution. If we express this solution properly with respect to the level of precision, what is the answer?
A. 170727 meter-seconds
B. 171000 meter-seconds
C. 170727.200 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A biltmore stick with a precision of +/- 0.01 meters takes a measurement of 0.03 meters, and a balance with a precision of +/- 0.0003 grams reads 0.0009 grams when measuring a mass. You divide the two values with a calculator app and get the output. If we report this output to the suitable number of significant figures, what is the answer?
A. 33.33 meters/gram
B. 30 meters/gram
C. 33.3 meters/gram
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 0.2 liters measures a volume of 481.2 liters and a storage container with a precision of +/- 0.3 liters measures a volume of a different quantity of liquid as 109.7 liters. Using a computer, you multiply the two values and get the output. How would this answer look if we rounded it with the proper level of precision?
A. 52790 liters^2
B. 52787.6 liters^2
C. 52787.6400 liters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 10 meters measures a distance of 72250 meters and a measuring stick with a precision of +/- 0.03 meters reads 11.29 meters when measuring a distance between two different points. Your computer produces the output when dividing the first value by the second value. If we write this output to the suitable number of significant figures, what is the result?
A. 6399.4686
B. 6390
C. 6399
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 1000 meters takes a measurement of 7000 meters, and a chronometer with a precision of +/- 0.0003 seconds measures a duration as 0.9979 seconds. You multiply the first number by the second number with a computer and get the solution. Report this solution using the proper number of significant figures.
A. 6000 meter-seconds
B. 6985.3 meter-seconds
C. 7000 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 400 meters takes a measurement of 535700 meters, and a radar-based method with a precision of +/- 300 meters reads 5100 meters when measuring a distance between two different points. After multiplying the values your calculator app produces the output. How would this result look if we wrote it with the suitable level of precision?
A. 2700000000 meters^2
B. 2732070000.00 meters^2
C. 2732070000 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A timer with a precision of +/- 0.2 seconds takes a measurement of 408.4 seconds, and a caliper with a precision of +/- 0.002 meters reads 7.252 meters when measuring a distance. After multiplying the first number by the second number your computer gets the output. Write this output using the right level of precision.
A. 2961.7 meter-seconds
B. 2961.7168 meter-seconds
C. 2962 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 2000 meters measures a distance of 477000 meters and a timer with a precision of +/- 0.001 seconds measures a duration as 0.006 seconds. Your computer produces the output when multiplying the two numbers. If we write this output properly with respect to the number of significant figures, what is the answer?
A. 2862.0 meter-seconds
B. 3000 meter-seconds
C. 2000 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A rangefinder with a precision of +/- 0.003 meters takes a measurement of 0.058 meters, and a meter stick with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0001 meters. You divide the numbers with a computer and get the solution. Using the suitable number of significant figures, what is the answer?
A. 580.000
B. 600
C. 580.0
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 30 meters measures a distance of 400 meters and a chronograph with a precision of +/- 0.04 seconds measures a duration as 0.15 seconds. After dividing the two numbers your calculator gets the output. How can we round this output to the proper level of precision?
A. 2660 meters/second
B. 2700 meters/second
C. 2666.67 meters/second
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A biltmore stick with a precision of +/- 0.01 meters measures a distance of 90.39 meters and a stopwatch with a precision of +/- 0.002 seconds reads 0.586 seconds when measuring a duration. After multiplying the former value by the latter your calculator gives the output. If we express this output appropriately with respect to the number of significant figures, what is the answer?
A. 52.97 meter-seconds
B. 52.969 meter-seconds
C. 53.0 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring rod with a precision of +/- 0.01 meters measures a distance of 3.66 meters and a timer with a precision of +/- 0.01 seconds reads 4.09 seconds when measuring a duration. Your computer produces the solution when multiplying the values. When this solution is written to the correct number of significant figures, what do we get?
A. 14.969 meter-seconds
B. 15.0 meter-seconds
C. 14.97 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 100 meters measures a distance of 2700 meters and a stadimeter with a precision of +/- 0.4 meters measures a distance between two different points as 59.3 meters. After multiplying the values your calculator app gives the output. Write this output using the correct number of significant figures.
A. 160100 meters^2
B. 160000 meters^2
C. 160110.00 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A ruler with a precision of +/- 0.003 meters takes a measurement of 0.387 meters, and a measuring flask with a precision of +/- 0.003 liters measures a volume as 0.059 liters. Using a calculator app, you divide the two numbers and get the output. How would this result look if we rounded it with the appropriate number of significant figures?
A. 6.56 meters/liter
B. 6.6 meters/liter
C. 6.559 meters/liter
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 2 meters measures a distance of 8904 meters and an opisometer with a precision of +/- 0.0004 meters reads 0.0057 meters when measuring a distance between two different points. Your calculator app produces the output when dividing the first value by the second value. How would this result look if we expressed it with the correct number of significant figures?
A. 1562105
B. 1562105.26
C. 1600000
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronograph with a precision of +/- 0.4 seconds measures a duration of 528.9 seconds and a ruler with a precision of +/- 0.0004 meters measures a distance as 0.0536 meters. After dividing the numbers your calculator yields the solution. If we express this solution to the appropriate level of precision, what is the answer?
A. 9867.537 seconds/meter
B. 9867.5 seconds/meter
C. 9870 seconds/meter
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring stick with a precision of +/- 0.002 meters measures a distance of 0.751 meters and a measuring stick with a precision of +/- 0.001 meters reads 0.008 meters when measuring a distance between two different points. Your calculator produces the solution when dividing the two values. If we express this solution properly with respect to the number of significant figures, what is the answer?
A. 90
B. 93.875
C. 93.9
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 40 grams measures a mass of 78500 grams and a graduated cylinder with a precision of +/- 0.002 liters reads 0.010 liters when measuring a volume. You divide the values with a computer and get the output. When this output is reported to the correct level of precision, what do we get?
A. 7800000 grams/liter
B. 7850000.00 grams/liter
C. 7850000 grams/liter
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 4000 meters takes a measurement of 874000 meters, and a measuring tape with a precision of +/- 0.1 meters reads 19.8 meters when measuring a distance between two different points. Using a calculator app, you divide the first number by the second number and get the output. How can we round this output to the proper number of significant figures?
A. 44141.414
B. 44000
C. 44100
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 400 meters measures a distance of 6500 meters and a Biltmore stick with a precision of +/- 0.2 meters reads 0.5 meters when measuring a distance between two different points. You multiply the two values with a calculator app and get the solution. Express this solution using the appropriate level of precision.
A. 3200 meters^2
B. 3250.0 meters^2
C. 3000 meters^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A clickwheel with a precision of +/- 0.01 meters takes a measurement of 35.72 meters, and an analytical balance with a precision of +/- 10 grams reads 4640 grams when measuring a mass. After multiplying the values your calculator app yields the output. When this output is expressed to the right number of significant figures, what do we get?
A. 165740 gram-meters
B. 166000 gram-meters
C. 165740.800 gram-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 400 meters measures a distance of 3500 meters and a chronometer with a precision of +/- 0.0001 seconds reads 0.0721 seconds when measuring a duration. After dividing the former number by the latter your calculator gets the output. How can we round this output to the appropriate number of significant figures?
A. 48543.69 meters/second
B. 48500 meters/second
C. 49000 meters/second
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring flask with a precision of +/- 0.04 liters takes a measurement of 0.73 liters, and a radar-based method with a precision of +/- 10 meters measures a distance as 62920 meters. You multiply the former value by the latter with a computer and get the output. Using the right level of precision, what is the result?
A. 45930 liter-meters
B. 46000 liter-meters
C. 45931.60 liter-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 1 grams takes a measurement of 9308 grams, and a Biltmore stick with a precision of +/- 0.01 meters reads 0.09 meters when measuring a distance. After multiplying the two numbers your computer produces the solution. If we round this solution appropriately with respect to the level of precision, what is the answer?
A. 837.7 gram-meters
B. 837 gram-meters
C. 800 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A timer with a precision of +/- 0.4 seconds measures a duration of 53.5 seconds and a measuring tape with a precision of +/- 0.2 meters measures a distance as 51.0 meters. After dividing the numbers your computer gets the solution. If we round this solution to the appropriate number of significant figures, what is the answer?
A. 1.05 seconds/meter
B. 1.049 seconds/meter
C. 1.0 seconds/meter
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A clickwheel with a precision of +/- 0.01 meters takes a measurement of 0.08 meters, and a measuring rod with a precision of +/- 0.0001 meters reads 0.0728 meters when measuring a distance between two different points. Using a computer, you divide the former number by the latter and get the solution. How would this answer look if we reported it with the appropriate level of precision?
A. 1
B. 1.10
C. 1.1
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring tape with a precision of +/- 0.4 meters measures a distance of 87.4 meters and a measuring stick with a precision of +/- 0.04 meters reads 0.88 meters when measuring a distance between two different points. After dividing the former number by the latter your calculator app yields the output. When this output is rounded to the right level of precision, what do we get?
A. 99.3
B. 99.32
C. 99
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A rangefinder with a precision of +/- 4 meters takes a measurement of 5 meters, and a coincidence telemeter with a precision of +/- 300 meters reads 5800 meters when measuring a distance between two different points. Your computer yields the solution when multiplying the former value by the latter. Express this solution using the appropriate number of significant figures.
A. 30000 meters^2
B. 29000 meters^2
C. 29000.0 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 0.3 meters measures a distance of 5.5 meters and an opisometer with a precision of +/- 0.3 meters reads 79.2 meters when measuring a distance between two different points. After multiplying the first value by the second value your calculator app yields the solution. If we express this solution to the proper level of precision, what is the result?
A. 435.60 meters^2
B. 440 meters^2
C. 435.6 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An analytical balance with a precision of +/- 3 grams takes a measurement of 59 grams, and a ruler with a precision of +/- 0.02 meters reads 14.24 meters when measuring a distance. Your calculator app produces the solution when dividing the former number by the latter. Using the right number of significant figures, what is the answer?
A. 4.14 grams/meter
B. 4.1 grams/meter
C. 4 grams/meter
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronograph with a precision of +/- 0.4 seconds measures a duration of 4.3 seconds and a graduated cylinder with a precision of +/- 0.003 liters reads 0.125 liters when measuring a volume. Using a calculator app, you divide the two numbers and get the output. If we write this output to the proper number of significant figures, what is the answer?
A. 34.4 seconds/liter
B. 34.40 seconds/liter
C. 34 seconds/liter
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 10 meters measures a distance of 65960 meters and a coincidence telemeter with a precision of +/- 0.2 meters reads 50.7 meters when measuring a distance between two different points. You multiply the two values with a calculator app and get the output. Write this output using the correct level of precision.
A. 3344172.000 meters^2
B. 3340000 meters^2
C. 3344170 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stopwatch with a precision of +/- 0.2 seconds measures a duration of 8.9 seconds and a spring scale with a precision of +/- 0.0003 grams measures a mass as 0.0073 grams. Your calculator gets the solution when dividing the two numbers. If we report this solution appropriately with respect to the level of precision, what is the result?
A. 1200 seconds/gram
B. 1219.2 seconds/gram
C. 1219.18 seconds/gram
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 0.3 liters takes a measurement of 597.7 liters, and an odometer with a precision of +/- 200 meters measures a distance as 200 meters. Your computer gets the solution when multiplying the two numbers. How would this answer look if we expressed it with the correct number of significant figures?
A. 119540.0 liter-meters
B. 119500 liter-meters
C. 100000 liter-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 4 meters measures a distance of 871 meters and a balance with a precision of +/- 0.002 grams measures a mass as 0.606 grams. You divide the former value by the latter with a computer and get the solution. Using the right level of precision, what is the result?
A. 1440 meters/gram
B. 1437 meters/gram
C. 1437.294 meters/gram
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 20 meters takes a measurement of 60 meters, and a measuring stick with a precision of +/- 0.3 meters measures a distance between two different points as 3.4 meters. Using a calculator, you divide the former value by the latter and get the solution. When this solution is written to the proper number of significant figures, what do we get?
A. 20
B. 17.6
C. 10
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring flask with a precision of +/- 0.001 liters measures a volume of 0.007 liters and a chronometer with a precision of +/- 0.00001 seconds reads 0.00385 seconds when measuring a duration. Your calculator gives the solution when dividing the two values. If we report this solution properly with respect to the level of precision, what is the result?
A. 1.818 liters/second
B. 2 liters/second
C. 1.8 liters/second
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronometer with a precision of +/- 0.0001 seconds takes a measurement of 0.0076 seconds, and a cathetometer with a precision of +/- 0.0003 meters measures a distance as 0.0003 meters. After dividing the former value by the latter your calculator app yields the solution. Using the appropriate number of significant figures, what is the answer?
A. 25.3333 seconds/meter
B. 30 seconds/meter
C. 25.3 seconds/meter
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 300 meters measures a distance of 392000 meters and a measuring stick with a precision of +/- 0.2 meters measures a distance between two different points as 56.9 meters. After dividing the first value by the second value your calculator app gives the output. How can we report this output to the appropriate number of significant figures?
A. 6890
B. 6800
C. 6889.279
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 2 meters takes a measurement of 9 meters, and a Biltmore stick with a precision of +/- 0.4 meters reads 0.6 meters when measuring a distance between two different points. Using a calculator app, you divide the two numbers and get the solution. Using the suitable number of significant figures, what is the answer?
A. 20
B. 15
C. 15.0
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A balance with a precision of +/- 2 grams takes a measurement of 90 grams, and a clickwheel with a precision of +/- 0.2 meters reads 0.6 meters when measuring a distance. Using a computer, you divide the former number by the latter and get the solution. If we report this solution properly with respect to the level of precision, what is the answer?
A. 150.0 grams/meter
B. 200 grams/meter
C. 150 grams/meter
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 20 meters takes a measurement of 3090 meters, and a cathetometer with a precision of +/- 0.0003 meters measures a distance between two different points as 0.2713 meters. You divide the values with a calculator app and get the output. If we write this output correctly with respect to the number of significant figures, what is the result?
A. 11389.606
B. 11380
C. 11400
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A caliper with a precision of +/- 0.003 meters takes a measurement of 9.876 meters, and a meter stick with a precision of +/- 0.0002 meters reads 0.0058 meters when measuring a distance between two different points. You divide the first value by the second value with a calculator and get the solution. When this solution is rounded to the correct level of precision, what do we get?
A. 1702.759
B. 1700
C. 1702.76
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 2 meters takes a measurement of 950 meters, and a spring scale with a precision of +/- 2 grams measures a mass as 388 grams. Using a computer, you multiply the first value by the second value and get the output. How would this answer look if we expressed it with the correct number of significant figures?
A. 368600.000 gram-meters
B. 369000 gram-meters
C. 368600 gram-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring stick with a precision of +/- 0.003 meters takes a measurement of 0.032 meters, and a stadimeter with a precision of +/- 4 meters reads 216 meters when measuring a distance between two different points. After multiplying the two values your calculator yields the output. Round this output using the right number of significant figures.
A. 6 meters^2
B. 6.9 meters^2
C. 6.91 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 0.3 liters takes a measurement of 472.5 liters, and a hydraulic scale with a precision of +/- 0.02 grams measures a mass as 0.16 grams. Using a calculator app, you divide the two values and get the solution. If we report this solution appropriately with respect to the level of precision, what is the answer?
A. 2953.1 liters/gram
B. 2953.12 liters/gram
C. 3000 liters/gram
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronograph with a precision of +/- 0.02 seconds takes a measurement of 6.06 seconds, and a stopwatch with a precision of +/- 0.001 seconds measures a duration of a different event as 5.501 seconds. Your calculator app gives the solution when multiplying the first value by the second value. How would this answer look if we rounded it with the correct number of significant figures?
A. 33.336 seconds^2
B. 33.3 seconds^2
C. 33.34 seconds^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A hydraulic scale with a precision of +/- 10 grams takes a measurement of 65810 grams, and a balance with a precision of +/- 100 grams reads 4300 grams when measuring a mass of a different object. You multiply the numbers with a calculator and get the solution. How would this answer look if we reported it with the proper level of precision?
A. 280000000 grams^2
B. 282983000.00 grams^2
C. 282983000 grams^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 400 meters takes a measurement of 295100 meters, and a rangefinder with a precision of +/- 0.01 meters measures a distance between two different points as 0.57 meters. Using a computer, you divide the two values and get the solution. If we write this solution to the proper number of significant figures, what is the result?
A. 520000
B. 517700
C. 517719.30
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronometer with a precision of +/- 0.0001 seconds takes a measurement of 0.0812 seconds, and a chronometer with a precision of +/- 0.00001 seconds reads 0.00904 seconds when measuring a duration of a different event. Your computer gives the output when dividing the numbers. If we express this output correctly with respect to the number of significant figures, what is the answer?
A. 8.982
B. 8.9823
C. 8.98
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 4 meters takes a measurement of 91 meters, and an analytical balance with a precision of +/- 0.0004 grams reads 0.9323 grams when measuring a mass. Using a calculator app, you multiply the first value by the second value and get the solution. When this solution is reported to the appropriate level of precision, what do we get?
A. 85 gram-meters
B. 84.84 gram-meters
C. 84 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 300 meters takes a measurement of 71500 meters, and a graduated cylinder with a precision of +/- 0.002 liters reads 0.075 liters when measuring a volume. Using a calculator, you divide the former number by the latter and get the output. How would this result look if we wrote it with the appropriate level of precision?
A. 953333.33 meters/liter
B. 950000 meters/liter
C. 953300 meters/liter
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 0.1 liters takes a measurement of 2.6 liters, and a chronograph with a precision of +/- 0.004 seconds measures a duration as 0.118 seconds. Your calculator app yields the output when dividing the numbers. How can we report this output to the correct level of precision?
A. 22.0 liters/second
B. 22.03 liters/second
C. 22 liters/second
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 1 grams takes a measurement of 645 grams, and a rangefinder with a precision of +/- 0.04 meters reads 0.49 meters when measuring a distance. After multiplying the numbers your calculator app gives the solution. How can we express this solution to the appropriate number of significant figures?
A. 320 gram-meters
B. 316.05 gram-meters
C. 316 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An opisometer with a precision of +/- 0.2 meters measures a distance of 820.8 meters and a stopwatch with a precision of +/- 0.001 seconds reads 8.854 seconds when measuring a duration. You divide the first value by the second value with a calculator app and get the output. When this output is written to the proper number of significant figures, what do we get?
A. 92.7 meters/second
B. 92.70 meters/second
C. 92.7039 meters/second
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 10 grams takes a measurement of 530 grams, and a clickwheel with a precision of +/- 0.03 meters reads 0.13 meters when measuring a distance. Using a computer, you multiply the former number by the latter and get the output. How would this answer look if we rounded it with the appropriate level of precision?
A. 68.90 gram-meters
B. 60 gram-meters
C. 69 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 20 liters measures a volume of 56180 liters and a chronometer with a precision of +/- 0.0001 seconds measures a duration as 0.0315 seconds. You multiply the former number by the latter with a calculator app and get the output. If we write this output to the correct number of significant figures, what is the answer?
A. 1770 liter-seconds
B. 1760 liter-seconds
C. 1769.670 liter-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 2000 meters takes a measurement of 13000 meters, and a spring scale with a precision of +/- 40 grams measures a mass as 450 grams. Using a calculator, you multiply the former value by the latter and get the output. Using the right level of precision, what is the result?
A. 5800000 gram-meters
B. 5850000 gram-meters
C. 5850000.00 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A timer with a precision of +/- 0.3 seconds measures a duration of 904.1 seconds and a meter stick with a precision of +/- 0.0001 meters reads 0.5046 meters when measuring a distance. After dividing the numbers your calculator app produces the solution. If we round this solution to the proper number of significant figures, what is the result?
A. 1791.7 seconds/meter
B. 1792 seconds/meter
C. 1791.7162 seconds/meter
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A meter stick with a precision of +/- 0.0004 meters takes a measurement of 0.0062 meters, and a coincidence telemeter with a precision of +/- 40 meters reads 8900 meters when measuring a distance between two different points. You multiply the first value by the second value with a computer and get the solution. Using the right level of precision, what is the answer?
A. 55.18 meters^2
B. 55 meters^2
C. 50 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 10 meters takes a measurement of 90 meters, and an opisometer with a precision of +/- 0.02 meters measures a distance between two different points as 34.56 meters. After multiplying the first number by the second number your calculator produces the solution. Express this solution using the suitable number of significant figures.
A. 3110.4 meters^2
B. 3000 meters^2
C. 3110 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring rod with a precision of +/- 0.002 meters measures a distance of 5.168 meters and a measuring tape with a precision of +/- 0.1 meters measures a distance between two different points as 77.1 meters. Using a computer, you multiply the values and get the solution. How would this answer look if we expressed it with the correct number of significant figures?
A. 398.453 meters^2
B. 398 meters^2
C. 398.5 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 4 meters measures a distance of 274 meters and an analytical balance with a precision of +/- 0.3 grams measures a mass as 690.1 grams. Using a calculator, you multiply the first value by the second value and get the output. Report this output using the proper level of precision.
A. 189087 gram-meters
B. 189000 gram-meters
C. 189087.400 gram-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An opisometer with a precision of +/- 0.2 meters measures a distance of 170.2 meters and an analytical balance with a precision of +/- 0.0002 grams reads 0.0034 grams when measuring a mass. You divide the numbers with a calculator app and get the solution. How would this result look if we reported it with the right number of significant figures?
A. 50058.82 meters/gram
B. 50058.8 meters/gram
C. 50000 meters/gram
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 10 meters takes a measurement of 890 meters, and a clickwheel with a precision of +/- 0.004 meters reads 0.432 meters when measuring a distance between two different points. After dividing the first value by the second value your calculator produces the solution. If we express this solution correctly with respect to the number of significant figures, what is the answer?
A. 2100
B. 2060.19
C. 2060
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 0.02 grams takes a measurement of 82.31 grams, and a storage container with a precision of +/- 2 liters reads 238 liters when measuring a volume. Your calculator app gives the output when multiplying the values. If we express this output to the appropriate level of precision, what is the answer?
A. 19600 gram-liters
B. 19589.780 gram-liters
C. 19589 gram-liters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A hydraulic scale with a precision of +/- 40 grams takes a measurement of 79220 grams, and a measuring tape with a precision of +/- 0.2 meters measures a distance as 226.1 meters. After dividing the first number by the second number your computer yields the solution. Express this solution using the correct level of precision.
A. 350.4 grams/meter
B. 350.3759 grams/meter
C. 350 grams/meter
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An analytical balance with a precision of +/- 3 grams takes a measurement of 6 grams, and an analytical balance with a precision of +/- 0.03 grams reads 54.02 grams when measuring a mass of a different object. After multiplying the former value by the latter your computer gets the output. If we express this output to the appropriate number of significant figures, what is the answer?
A. 324.1 grams^2
B. 300 grams^2
C. 324 grams^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 400 meters takes a measurement of 20300 meters, and a rangefinder with a precision of +/- 0.02 meters measures a distance between two different points as 0.05 meters. Your calculator yields the solution when dividing the two values. How can we round this solution to the correct level of precision?
A. 406000.0
B. 406000
C. 400000
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 0.4 meters takes a measurement of 872.3 meters, and a graduated cylinder with a precision of +/- 0.003 liters measures a volume as 0.080 liters. Using a computer, you divide the values and get the output. How can we express this output to the correct level of precision?
A. 10903.75 meters/liter
B. 11000 meters/liter
C. 10903.8 meters/liter
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 1 liters takes a measurement of 11 liters, and a cathetometer with a precision of +/- 0.00002 meters reads 0.02897 meters when measuring a distance. After dividing the first number by the second number your calculator app produces the output. How would this answer look if we wrote it with the suitable number of significant figures?
A. 379 liters/meter
B. 379.70 liters/meter
C. 380 liters/meter
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A hydraulic scale with a precision of +/- 4 grams measures a mass of 1 grams and a stadimeter with a precision of +/- 20 meters reads 740 meters when measuring a distance. Using a calculator app, you multiply the two numbers and get the solution. How can we report this solution to the correct number of significant figures?
A. 700 gram-meters
B. 740 gram-meters
C. 740.0 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An opisometer with a precision of +/- 0.2 meters takes a measurement of 22.6 meters, and a Biltmore stick with a precision of +/- 0.02 meters measures a distance between two different points as 0.11 meters. Using a computer, you divide the numbers and get the solution. How can we report this solution to the right level of precision?
A. 205.5
B. 210
C. 205.45
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stopwatch with a precision of +/- 0.01 seconds measures a duration of 1.29 seconds and a hydraulic scale with a precision of +/- 0.0001 grams measures a mass as 0.0003 grams. Your calculator app gets the solution when dividing the first value by the second value. When this solution is reported to the suitable number of significant figures, what do we get?
A. 4000 seconds/gram
B. 4300.00 seconds/gram
C. 4300.0 seconds/gram
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A biltmore stick with a precision of +/- 0.2 meters takes a measurement of 95.8 meters, and a stopwatch with a precision of +/- 0.4 seconds measures a duration as 19.8 seconds. After multiplying the two values your computer gives the output. How would this answer look if we wrote it with the proper level of precision?
A. 1896.8 meter-seconds
B. 1900 meter-seconds
C. 1896.840 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A caliper with a precision of +/- 0.02 meters takes a measurement of 0.04 meters, and a chronograph with a precision of +/- 0.003 seconds measures a duration as 0.010 seconds. Using a calculator app, you divide the values and get the output. If we write this output to the proper level of precision, what is the answer?
A. 4.00 meters/second
B. 4.0 meters/second
C. 4 meters/second
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A hydraulic scale with a precision of +/- 3 grams measures a mass of 58 grams and a spring scale with a precision of +/- 400 grams reads 19400 grams when measuring a mass of a different object. After multiplying the former value by the latter your calculator yields the solution. If we round this solution to the proper number of significant figures, what is the result?
A. 1125200 grams^2
B. 1125200.00 grams^2
C. 1100000 grams^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 30 meters takes a measurement of 4540 meters, and a measuring flask with a precision of +/- 0.001 liters reads 0.781 liters when measuring a volume. After multiplying the first value by the second value your calculator app gives the output. If we report this output to the appropriate level of precision, what is the answer?
A. 3550 liter-meters
B. 3545.740 liter-meters
C. 3540 liter-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A hydraulic scale with a precision of +/- 200 grams measures a mass of 8000 grams and a clickwheel with a precision of +/- 0.001 meters measures a distance as 0.053 meters. You divide the former number by the latter with a calculator app and get the solution. If we express this solution appropriately with respect to the number of significant figures, what is the result?
A. 150000 grams/meter
B. 150943.40 grams/meter
C. 150900 grams/meter
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A ruler with a precision of +/- 0.4 meters takes a measurement of 377.3 meters, and a clickwheel with a precision of +/- 0.004 meters reads 0.037 meters when measuring a distance between two different points. Your calculator gives the output when multiplying the former number by the latter. When this output is expressed to the right number of significant figures, what do we get?
A. 14.0 meters^2
B. 13.96 meters^2
C. 14 meters^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 0.3 liters takes a measurement of 8.4 liters, and a Biltmore stick with a precision of +/- 0.4 meters reads 25.2 meters when measuring a distance. You multiply the former number by the latter with a calculator and get the solution. How can we express this solution to the suitable number of significant figures?
A. 211.68 liter-meters
B. 211.7 liter-meters
C. 210 liter-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 0.001 grams takes a measurement of 9.389 grams, and a stopwatch with a precision of +/- 0.002 seconds measures a duration as 0.006 seconds. After dividing the numbers your calculator gets the solution. When this solution is reported to the proper number of significant figures, what do we get?
A. 1564.833 grams/second
B. 2000 grams/second
C. 1564.8 grams/second
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A balance with a precision of +/- 100 grams takes a measurement of 1400 grams, and a timer with a precision of +/- 0.4 seconds measures a duration as 0.7 seconds. You multiply the two values with a computer and get the solution. If we express this solution to the suitable level of precision, what is the answer?
A. 900 gram-seconds
B. 980.0 gram-seconds
C. 1000 gram-seconds
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronometer with a precision of +/- 0.0003 seconds measures a duration of 0.1564 seconds and a hydraulic scale with a precision of +/- 3 grams reads 1192 grams when measuring a mass. After multiplying the first number by the second number your calculator app yields the solution. Using the appropriate number of significant figures, what is the answer?
A. 186.4 gram-seconds
B. 186.4288 gram-seconds
C. 186 gram-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |