prompt:
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 +/- 0.04 seconds takes a measurement of 1.68 seconds, and a chronometer with a precision of +/- 0.0004 seconds reads 0.0546 seconds when measuring a duration of a different event. Using a computer, you divide the two numbers and get the output 30.769230769231. If we report this output correctly with respect to the number of significant figures, what is the answer?
A. 30.8
B. 30.769230769231
C. 30.77
D. 30.769
Answer:


prompt:
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 +/- 2 meters measures a distance of 431 meters and a measuring tape with a precision of +/- 0.03 meters measures a distance between two different points as 92.03 meters. You divide the first value by the second value with a calculator and get the output 4.683255460176. When this output is written to the appropriate number of significant figures, what do we get?
A. 4.68
B. 4
C. 4.683255460176
D. 4.683
Answer:


prompt:
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 +/- 0.1 meters takes a measurement of 73.1 meters, and a hydraulic scale with a precision of +/- 0.04 grams reads 38.49 grams when measuring a mass. Your calculator app produces the output 2813.619000000000 when multiplying the first number by the second number. If we round this output suitably with respect to the level of precision, what is the answer?
A. 2810 gram-meters
B. 2813.619 gram-meters
C. 2813.619000000000 gram-meters
D. 2813.6 gram-meters
Answer:


prompt:
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 +/- 4 liters measures a volume of 2 liters and a meter stick with a precision of +/- 0.0004 meters measures a distance as 0.7660 meters. Your calculator app yields the solution 2.610966057441 when dividing the former value by the latter. How can we write this solution to the right number of significant figures?
A. 2.6 liters/meter
B. 2 liters/meter
C. 3 liters/meter
D. 2.610966057441 liters/meter
Answer:


prompt:
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 measures a distance of 0.001 meters and an opisometer with a precision of +/- 0.0002 meters reads 0.0004 meters when measuring a distance between two different points. Using a calculator, you divide the former number by the latter and get the solution 2.500000000000. How can we write this solution to the right level of precision?
A. 2
B. 2.500
C. 2.5
D. 2.500000000000
Answer:


prompt:
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 +/- 0.0001 meters takes a measurement of 0.0146 meters, and a stadimeter with a precision of +/- 0.2 meters measures a distance between two different points as 526.4 meters. You multiply the two values with a computer and get the output 7.685440000000. How can we round this output to the suitable level of precision?
A. 7.685 meters^2
B. 7.69 meters^2
C. 7.7 meters^2
D. 7.685440000000 meters^2
Answer:


prompt:
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 +/- 200 meters takes a measurement of 90500 meters, and a tape measure with a precision of +/- 0.003 meters reads 0.006 meters when measuring a distance between two different points. Your calculator produces the solution 15083333.333333333333 when dividing the two values. Using the suitable level of precision, what is the result?
A. 15083333.333333333333
B. 15083300
C. 20000000
D. 15083333.3
Answer:


prompt:
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 +/- 0.003 grams measures a mass of 9.379 grams and a measuring rod with a precision of +/- 0.0003 meters reads 0.0023 meters when measuring a distance. Your calculator yields the output 4077.826086956522 when dividing the first value by the second value. How would this answer look if we rounded it with the right number of significant figures?
A. 4077.83 grams/meter
B. 4077.826 grams/meter
C. 4100 grams/meter
D. 4077.826086956522 grams/meter
Answer:


prompt:
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 +/- 0.04 meters takes a measurement of 0.09 meters, and a measuring flask with a precision of +/- 0.003 liters measures a volume as 0.001 liters. Using a calculator, you divide the two values and get the solution 90.000000000000. How can we write this solution to the appropriate number of significant figures?
A. 90 meters/liter
B. 90.000000000000 meters/liter
C. 90.0 meters/liter
D. 90.00 meters/liter
Answer:


prompt:
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 +/- 0.0002 meters takes a measurement of 0.8696 meters, and a hydraulic scale with a precision of +/- 1000 grams reads 523000 grams when measuring a mass. You multiply the first number by the second number with a computer and get the solution 454800.800000000000. When this solution is reported to the appropriate number of significant figures, what do we get?
A. 454800.800000000000 gram-meters
B. 454800.800 gram-meters
C. 454000 gram-meters
D. 455000 gram-meters
Answer:


prompt:
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 260 liters, and a caliper with a precision of +/- 0.01 meters measures a distance as 0.09 meters. Your calculator app produces the output 23.400000000000 when multiplying the former value by the latter. When this output is rounded to the appropriate level of precision, what do we get?
A. 20 liter-meters
B. 23 liter-meters
C. 23.4 liter-meters
D. 23.400000000000 liter-meters
Answer:


prompt:
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 measures a distance of 86.0 meters and a radar-based method with a precision of +/- 20 meters measures a distance between two different points as 40 meters. Using a calculator, you multiply the former number by the latter and get the output 3440.000000000000. How would this answer look if we wrote it with the correct number of significant figures?
A. 3440.0 meters^2
B. 3440.000000000000 meters^2
C. 3000 meters^2
D. 3440 meters^2
Answer:


prompt:
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 8277 meters and a ruler with a precision of +/- 0.001 meters measures a distance between two different points as 0.056 meters. You multiply the two values with a calculator app and get the solution 463.512000000000. How would this result look if we wrote it with the appropriate number of significant figures?
A. 463 meters^2
B. 463.51 meters^2
C. 460 meters^2
D. 463.512000000000 meters^2
Answer:


prompt:
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 tape measure with a precision of +/- 0.003 meters takes a measurement of 0.039 meters, and a chronometer with a precision of +/- 0.00001 seconds measures a duration as 0.00058 seconds. Using a computer, you divide the first value by the second value and get the output 67.241379310345. If we round this output suitably with respect to the number of significant figures, what is the result?
A. 67 meters/second
B. 67.24 meters/second
C. 67.241 meters/second
D. 67.241379310345 meters/second
Answer:


prompt:
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 +/- 0.002 meters takes a measurement of 5.248 meters, and a Biltmore stick with a precision of +/- 0.3 meters measures a distance between two different points as 91.6 meters. Using a calculator app, you divide the two numbers and get the solution 0.057292576419. If we express this solution to the proper number of significant figures, what is the answer?
A. 0.0573
B. 0.057292576419
C. 0.1
D. 0.057
Answer:


prompt:
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 +/- 0.2 meters takes a measurement of 5.4 meters, and a chronograph with a precision of +/- 0.03 seconds measures a duration as 62.76 seconds. After dividing the former value by the latter your computer produces the solution 0.086042065010. If we round this solution suitably with respect to the number of significant figures, what is the result?
A. 0.1 meters/second
B. 0.09 meters/second
C. 0.086 meters/second
D. 0.086042065010 meters/second
Answer:


prompt:
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 +/- 0.0003 meters takes a measurement of 0.0705 meters, and a clickwheel with a precision of +/- 0.02 meters reads 6.25 meters when measuring a distance between two different points. You divide the first number by the second number with a calculator app and get the solution 0.011280000000. How would this answer look if we reported it with the right level of precision?
A. 0.011
B. 0.01
C. 0.011280000000
D. 0.0113
Answer:


prompt:
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 +/- 100 meters measures a distance of 300 meters and a chronograph with a precision of +/- 0.03 seconds measures a duration as 8.09 seconds. After multiplying the two values your computer yields the output 2427.000000000000. How can we round this output to the appropriate number of significant figures?
A. 2427.000000000000 meter-seconds
B. 2427.0 meter-seconds
C. 2000 meter-seconds
D. 2400 meter-seconds
Answer:


prompt:
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 3000 meters, and a radar-based method with a precision of +/- 20 meters reads 26960 meters when measuring a distance between two different points. Your computer yields the solution 80880000.000000000000 when multiplying the numbers. How can we round this solution to the proper level of precision?
A. 80880000.000000000000 meters^2
B. 80880000 meters^2
C. 80880000.00 meters^2
D. 81000000 meters^2
Answer:


prompt:
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 measures a mass of 866000 grams and a storage container with a precision of +/- 10 liters measures a volume as 60 liters. After multiplying the first value by the second value your computer yields the solution 51960000.000000000000. Report this solution using the suitable number of significant figures.
A. 51960000.000000000000 gram-liters
B. 51960000.0 gram-liters
C. 50000000 gram-liters
D. 51960000 gram-liters
Answer:


prompt:
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 9.535 liters and a ruler with a precision of +/- 0.1 meters measures a distance as 38.4 meters. Your calculator gives the output 366.144000000000 when multiplying the first value by the second value. If we write this output correctly with respect to the number of significant figures, what is the answer?
A. 366 liter-meters
B. 366.1 liter-meters
C. 366.144000000000 liter-meters
D. 366.144 liter-meters
Answer:


prompt:
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 +/- 400 meters measures a distance of 3800 meters and a caliper with a precision of +/- 0.02 meters reads 2.54 meters when measuring a distance between two different points. You multiply the former value by the latter with a calculator and get the output 9652.000000000000. Using the suitable level of precision, what is the answer?
A. 9652.00 meters^2
B. 9600 meters^2
C. 9652.000000000000 meters^2
D. 9700 meters^2
Answer:


prompt:
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 measures a distance of 63470 meters and a stopwatch with a precision of +/- 0.004 seconds reads 8.292 seconds when measuring a duration. You divide the former number by the latter with a calculator and get the solution 7654.365653642065. Write this solution using the proper level of precision.
A. 7654.3657 meters/second
B. 7650 meters/second
C. 7654.365653642065 meters/second
D. 7654 meters/second
Answer:


prompt:
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 +/- 200 meters measures a distance of 39500 meters and a measuring flask with a precision of +/- 0.03 liters reads 59.95 liters when measuring a volume. Your calculator app gets the solution 2368025.000000000000 when multiplying the first number by the second number. When this solution is expressed to the correct level of precision, what do we get?
A. 2368000 liter-meters
B. 2368025.000000000000 liter-meters
C. 2368025.000 liter-meters
D. 2370000 liter-meters
Answer:


prompt:
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 +/- 0.03 meters takes a measurement of 3.44 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 former value by the latter with a calculator app and get the solution 34400.000000000000. Using the appropriate number of significant figures, what is the answer?
A. 30000
B. 34400.0
C. 34400.00
D. 34400.000000000000
Answer:


prompt:
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 +/- 3 meters measures a distance of 1839 meters and a measuring rod with a precision of +/- 0.003 meters reads 0.008 meters when measuring a distance between two different points. Your computer gives the solution 229875.000000000000 when dividing the values. If we express this solution to the correct number of significant figures, what is the answer?
A. 229875
B. 200000
C. 229875.0
D. 229875.000000000000
Answer:


prompt:
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 +/- 0.3 meters measures a distance of 3.5 meters and a tape measure with a precision of +/- 0.0002 meters reads 0.0046 meters when measuring a distance between two different points. Using a calculator app, you divide the former value by the latter and get the solution 760.869565217391. If we report this solution to the suitable number of significant figures, what is the result?
A. 760.869565217391
B. 760
C. 760.87
D. 760.9
Answer:


prompt:
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 +/- 400 grams measures a mass of 3900 grams and a measuring tape with a precision of +/- 0.04 meters measures a distance as 0.05 meters. After multiplying the values your computer produces the solution 195.000000000000. When this solution is rounded to the proper number of significant figures, what do we get?
A. 100 gram-meters
B. 195.0 gram-meters
C. 200 gram-meters
D. 195.000000000000 gram-meters
Answer:


prompt:
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 31.0 meters, and a timer with a precision of +/- 0.02 seconds reads 6.24 seconds when measuring a duration. After multiplying the values your calculator app produces the solution 193.440000000000. When this solution is written to the correct number of significant figures, what do we get?
A. 193.440 meter-seconds
B. 193.4 meter-seconds
C. 193.440000000000 meter-seconds
D. 193 meter-seconds
Answer:


prompt:
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 tape measure with a precision of +/- 0.003 meters takes a measurement of 0.036 meters, and a graduated cylinder with a precision of +/- 0.003 liters measures a volume as 5.561 liters. After dividing the two values your calculator app gets the output 0.006473655817. Express this output using the correct level of precision.
A. 0.006 meters/liter
B. 0.01 meters/liter
C. 0.0065 meters/liter
D. 0.006473655817 meters/liter
Answer:


prompt:
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 measures a duration of 63.61 seconds and a timer with a precision of +/- 0.003 seconds reads 5.337 seconds when measuring a duration of a different event. After multiplying the two values your computer gives the output 339.486570000000. Write this output using the appropriate level of precision.
A. 339.486570000000 seconds^2
B. 339.5 seconds^2
C. 339.49 seconds^2
D. 339.4866 seconds^2
Answer:


prompt:
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 +/- 0.03 meters measures a distance of 79.78 meters and a stadimeter with a precision of +/- 40 meters measures a distance between two different points as 49780 meters. Using a calculator app, you multiply the two numbers and get the solution 3971448.400000000000. How would this result look if we rounded it with the appropriate number of significant figures?
A. 3971000 meters^2
B. 3971448.4000 meters^2
C. 3971440 meters^2
D. 3971448.400000000000 meters^2
Answer:


prompt:
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 2 meters and an odometer with a precision of +/- 100 meters reads 629600 meters when measuring a distance between two different points. Your calculator gives the output 1259200.000000000000 when multiplying the former number by the latter. If we report this output appropriately with respect to the level of precision, what is the result?
A. 1259200.000000000000 meters^2
B. 1000000 meters^2
C. 1259200 meters^2
D. 1259200.0 meters^2
Answer:


prompt:
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 +/- 0.003 seconds measures a duration of 3.655 seconds and a chronometer with a precision of +/- 0.0002 seconds reads 0.0008 seconds when measuring a duration of a different event. You divide the former value by the latter with a computer and get the solution 4568.750000000000. If we report this solution correctly with respect to the level of precision, what is the answer?
A. 4568.750000000000
B. 4568.750
C. 4568.8
D. 5000
Answer:


prompt:
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 takes a measurement of 17 grams, and a spring scale with a precision of +/- 2000 grams reads 25000 grams when measuring a mass of a different object. You multiply the former value by the latter with a calculator app and get the solution 425000.000000000000. Using the proper level of precision, what is the answer?
A. 425000.000000000000 grams^2
B. 425000 grams^2
C. 420000 grams^2
D. 425000.00 grams^2
Answer:


prompt:
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 +/- 0.04 meters takes a measurement of 0.01 meters, and a cathetometer with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0006 meters. Your calculator gives the output 16.666666666667 when dividing the two values. When this output is rounded to the correct number of significant figures, what do we get?
A. 16.666666666667
B. 16.7
C. 16.67
D. 20
Answer:


prompt:
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 +/- 0.3 meters takes a measurement of 634.4 meters, and a hydraulic scale with a precision of +/- 20 grams measures a mass as 100 grams. You multiply the former value by the latter with a calculator and get the solution 63440.000000000000. How would this answer look if we wrote it with the right level of precision?
A. 63440.000000000000 gram-meters
B. 63000 gram-meters
C. 63440 gram-meters
D. 63440.00 gram-meters
Answer:


prompt:
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 +/- 400 meters takes a measurement of 54800 meters, and a measuring tape with a precision of +/- 0.03 meters reads 0.09 meters when measuring a distance between two different points. After dividing the values your computer yields the output 608888.888888888889. How can we report this output to the correct number of significant figures?
A. 608888.9
B. 608888.888888888889
C. 608800
D. 600000
Answer:


prompt:
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 tape measure with a precision of +/- 0.0002 meters takes a measurement of 0.0945 meters, and a graduated cylinder with a precision of +/- 0.001 liters reads 0.005 liters when measuring a volume. You divide the first number by the second number with a computer and get the output 18.900000000000. If we write this output correctly with respect to the number of significant figures, what is the result?
A. 20 meters/liter
B. 18.900000000000 meters/liter
C. 18.900 meters/liter
D. 18.9 meters/liter
Answer:


prompt:
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 +/- 20 meters measures a distance of 680 meters and a hydraulic scale with a precision of +/- 100 grams reads 549300 grams when measuring a mass. Your computer yields the output 373524000.000000000000 when multiplying the former number by the latter. Using the proper number of significant figures, what is the answer?
A. 373524000.000000000000 gram-meters
B. 373524000.00 gram-meters
C. 370000000 gram-meters
D. 373524000 gram-meters
Answer:


prompt:
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 +/- 0.001 seconds takes a measurement of 1.099 seconds, and a balance with a precision of +/- 4 grams reads 95 grams when measuring a mass. You multiply the first value by the second value with a calculator and get the output 104.405000000000. When this output is written to the correct number of significant figures, what do we get?
A. 104 gram-seconds
B. 104.405000000000 gram-seconds
C. 104.40 gram-seconds
D. 100 gram-seconds
Answer:


prompt:
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 +/- 0.4 seconds measures a duration of 0.3 seconds and a balance with a precision of +/- 20 grams reads 84660 grams when measuring a mass. After multiplying the numbers your calculator produces the solution 25398.000000000000. If we round this solution suitably with respect to the level of precision, what is the answer?
A. 30000 gram-seconds
B. 25390 gram-seconds
C. 25398.000000000000 gram-seconds
D. 25398.0 gram-seconds
Answer:


prompt:
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 +/- 0.02 seconds takes a measurement of 0.09 seconds, and a measuring flask with a precision of +/- 0.003 liters measures a volume as 0.005 liters. You divide the former value by the latter with a calculator app and get the solution 18.000000000000. Report this solution using the right number of significant figures.
A. 20 seconds/liter
B. 18.00 seconds/liter
C. 18.000000000000 seconds/liter
D. 18.0 seconds/liter
Answer:


prompt:
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 +/- 100 meters measures a distance of 50600 meters and a chronograph with a precision of +/- 0.4 seconds measures a duration as 0.6 seconds. Using a computer, you multiply the first value by the second value and get the solution 30360.000000000000. How would this answer look if we wrote it with the suitable number of significant figures?
A. 30000 meter-seconds
B. 30300 meter-seconds
C. 30360.0 meter-seconds
D. 30360.000000000000 meter-seconds
Answer:


prompt:
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 +/- 0.03 meters takes a measurement of 0.08 meters, and an opisometer with a precision of +/- 0.0003 meters reads 0.0095 meters when measuring a distance between two different points. Your calculator app produces the solution 8.421052631579 when dividing the first value by the second value. When this solution is rounded to the right number of significant figures, what do we get?
A. 8.42
B. 8
C. 8.421052631579
D. 8.4
Answer:


prompt:
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 graduated cylinder with a precision of +/- 0.001 liters measures a volume of 2.532 liters and a Biltmore stick with a precision of +/- 0.01 meters reads 73.51 meters when measuring a distance. Your calculator gives the solution 0.034444293293 when dividing the first value by the second value. If we express this solution properly with respect to the number of significant figures, what is the result?
A. 0.03444 liters/meter
B. 0.03 liters/meter
C. 0.034444293293 liters/meter
D. 0.0344 liters/meter
Answer:


prompt:
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 +/- 0.4 meters measures a distance of 6.7 meters and a chronograph with a precision of +/- 0.003 seconds measures a duration as 0.652 seconds. Using a calculator app, you divide the former number by the latter and get the output 10.276073619632. How can we write this output to the suitable number of significant figures?
A. 10.276073619632 meters/second
B. 10.28 meters/second
C. 10 meters/second
D. 10.3 meters/second
Answer:


prompt:
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 +/- 4 liters takes a measurement of 55 liters, and a timer with a precision of +/- 0.003 seconds measures a duration as 0.008 seconds. Using a calculator app, you divide the values and get the solution 6875.000000000000. How would this result look if we wrote it with the appropriate number of significant figures?
A. 6875.0 liters/second
B. 7000 liters/second
C. 6875.000000000000 liters/second
D. 6875 liters/second
Answer:


prompt:
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 +/- 100 grams measures a mass of 7600 grams and a measuring flask with a precision of +/- 0.003 liters measures a volume as 0.003 liters. Using a calculator, you divide the first value by the second value and get the output 2533333.333333333333. When this output is reported to the proper number of significant figures, what do we get?
A. 2533300 grams/liter
B. 2533333.3 grams/liter
C. 3000000 grams/liter
D. 2533333.333333333333 grams/liter
Answer:


prompt:
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 graduated cylinder with a precision of +/- 0.001 liters measures a volume of 0.080 liters and a ruler with a precision of +/- 0.04 meters reads 0.06 meters when measuring a distance. You divide the numbers with a computer and get the solution 1.333333333333. Round this solution using the proper number of significant figures.
A. 1.333333333333 liters/meter
B. 1.3 liters/meter
C. 1.33 liters/meter
D. 1 liters/meter
Answer:


prompt:
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 measures a distance of 0.0822 meters and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.089 liters. After multiplying the two numbers your calculator yields the output 0.007315800000. How would this answer look if we reported it with the proper level of precision?
A. 0.0073 liter-meters
B. 0.01 liter-meters
C. 0.007 liter-meters
D. 0.007315800000 liter-meters
Answer:


prompt:
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 measures a distance of 0.060 meters and a tape measure with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0007 meters. Your computer produces the solution 85.714285714286 when dividing the former number by the latter. How would this answer look if we rounded it with the right number of significant figures?
A. 90
B. 85.714285714286
C. 85.714
D. 85.7
Answer:


prompt:
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 +/- 0.03 seconds takes a measurement of 69.62 seconds, and a spring scale with a precision of +/- 0.4 grams reads 379.3 grams when measuring a mass. Using a calculator app, you multiply the former number by the latter and get the solution 26406.866000000000. If we report this solution suitably with respect to the number of significant figures, what is the result?
A. 26406.866000000000 gram-seconds
B. 26406.9 gram-seconds
C. 26410 gram-seconds
D. 26406.8660 gram-seconds
Answer:


prompt:
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 measures a volume of 617.0 liters and a graduated cylinder with a precision of +/- 0.003 liters reads 0.455 liters when measuring a volume of a different quantity of liquid. After multiplying the former number by the latter your computer gives the output 280.735000000000. Using the correct number of significant figures, what is the result?
A. 280.735000000000 liters^2
B. 280.7 liters^2
C. 280.735 liters^2
D. 281 liters^2
Answer:


prompt:
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 39.8 seconds and an odometer with a precision of +/- 400 meters reads 35200 meters when measuring a distance. You multiply the two values with a computer and get the solution 1400960.000000000000. Using the correct number of significant figures, what is the answer?
A. 1400960.000000000000 meter-seconds
B. 1400900 meter-seconds
C. 1400000 meter-seconds
D. 1400960.000 meter-seconds
Answer:


prompt:
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 8310 meters, and a chronograph with a precision of +/- 0.4 seconds reads 0.9 seconds when measuring a duration. Your computer yields the output 9233.333333333333 when dividing the first value by the second value. If we round this output to the proper number of significant figures, what is the result?
A. 9230 meters/second
B. 9233.3 meters/second
C. 9233.333333333333 meters/second
D. 9000 meters/second
Answer:


prompt:
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 3200 meters and a ruler with a precision of +/- 0.002 meters reads 0.037 meters when measuring a distance between two different points. After multiplying the first number by the second number your calculator app gives the output 118.400000000000. If we round this output to the right number of significant figures, what is the result?
A. 120 meters^2
B. 118.400000000000 meters^2
C. 100 meters^2
D. 118.40 meters^2
Answer:


prompt:
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 +/- 30 grams measures a mass of 40 grams and a spring scale with a precision of +/- 0.02 grams reads 68.57 grams when measuring a mass of a different object. After multiplying the two numbers your calculator app gets the solution 2742.800000000000. When this solution is rounded to the appropriate level of precision, what do we get?
A. 3000 grams^2
B. 2742.800000000000 grams^2
C. 2740 grams^2
D. 2742.8 grams^2
Answer:


prompt:
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 +/- 40 liters takes a measurement of 9010 liters, and a measuring flask with a precision of +/- 0.001 liters measures a volume of a different quantity of liquid as 0.006 liters. Using a calculator app, you divide the former number by the latter and get the solution 1501666.666666666667. If we report this solution properly with respect to the level of precision, what is the result?
A. 1501660
B. 2000000
C. 1501666.7
D. 1501666.666666666667
Answer:


prompt:
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 +/- 0.4 liters takes a measurement of 8.8 liters, and a storage container with a precision of +/- 4 liters reads 1 liters when measuring a volume of a different quantity of liquid. You divide the two values with a calculator app and get the output 8.800000000000. If we express this output properly with respect to the number of significant figures, what is the answer?
A. 8
B. 9
C. 8.8
D. 8.800000000000
Answer:


prompt:
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 +/- 0.0004 meters takes a measurement of 0.0277 meters, and a cathetometer with a precision of +/- 0.00002 meters measures a distance between two different points as 0.01231 meters. After dividing the values your computer gives the output 2.250203086921. Using the correct level of precision, what is the result?
A. 2.25
B. 2.250203086921
C. 2.2502
D. 2.250
Answer:


prompt:
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 measures a distance of 50 meters and a ruler with a precision of +/- 0.003 meters reads 0.171 meters when measuring a distance between two different points. Your calculator app gives the solution 8.550000000000 when multiplying the first number by the second number. Round this solution using the appropriate level of precision.
A. 8.6 meters^2
B. 8.55 meters^2
C. 8 meters^2
D. 8.550000000000 meters^2
Answer:


prompt:
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 +/- 0.0001 grams measures a mass of 0.0803 grams and a cathetometer with a precision of +/- 0.0001 meters reads 0.0334 meters when measuring a distance. You divide the numbers with a calculator and get the output 2.404191616766. Using the suitable number of significant figures, what is the answer?
A. 2.40 grams/meter
B. 2.4042 grams/meter
C. 2.404191616766 grams/meter
D. 2.404 grams/meter
Answer:


prompt:
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 +/- 0.02 meters takes a measurement of 1.99 meters, and a coincidence telemeter with a precision of +/- 300 meters measures a distance between two different points as 961700 meters. Using a calculator, you multiply the values and get the solution 1913783.000000000000. Round this solution using the right number of significant figures.
A. 1913783.000 meters^2
B. 1913700 meters^2
C. 1913783.000000000000 meters^2
D. 1910000 meters^2
Answer:


prompt:
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 7280 liters, and an opisometer with a precision of +/- 0.001 meters reads 0.930 meters when measuring a distance. After dividing the numbers your calculator app gives the output 7827.956989247312. How would this result look if we reported it with the suitable level of precision?
A. 7827.957 liters/meter
B. 7827.956989247312 liters/meter
C. 7820 liters/meter
D. 7830 liters/meter
Answer:


prompt:
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 +/- 0.02 seconds takes a measurement of 6.22 seconds, and a stopwatch with a precision of +/- 0.4 seconds measures a duration of a different event as 38.7 seconds. After multiplying the former number by the latter your calculator app yields the solution 240.714000000000. If we round this solution to the correct level of precision, what is the result?
A. 240.714000000000 seconds^2
B. 241 seconds^2
C. 240.714 seconds^2
D. 240.7 seconds^2
Answer:


prompt:
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 +/- 0.0004 meters measures a distance of 0.8020 meters and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 0.034 liters. After dividing the two values your calculator yields the solution 23.588235294118. If we express this solution to the proper number of significant figures, what is the result?
A. 24 meters/liter
B. 23.588 meters/liter
C. 23.59 meters/liter
D. 23.588235294118 meters/liter
Answer:


prompt:
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 +/- 0.0004 meters measures a distance of 0.5224 meters and a balance with a precision of +/- 100 grams reads 3400 grams when measuring a mass. Using a calculator app, you multiply the former number by the latter and get the output 1776.160000000000. When this output is expressed to the correct level of precision, what do we get?
A. 1776.160000000000 gram-meters
B. 1700 gram-meters
C. 1800 gram-meters
D. 1776.16 gram-meters
Answer:


prompt:
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 graduated cylinder with a precision of +/- 0.002 liters takes a measurement of 7.701 liters, and a coincidence telemeter with a precision of +/- 0.4 meters reads 753.6 meters when measuring a distance. After multiplying the former value by the latter your computer produces the output 5803.473600000000. Using the suitable number of significant figures, what is the answer?
A. 5803.4736 liter-meters
B. 5803.473600000000 liter-meters
C. 5803 liter-meters
D. 5803.5 liter-meters
Answer:


prompt:
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 +/- 1 meters takes a measurement of 522 meters, and an odometer with a precision of +/- 1000 meters measures a distance between two different points as 30000 meters. After multiplying the two values your calculator app produces the solution 15660000.000000000000. Using the right level of precision, what is the result?
A. 15660000 meters^2
B. 15660000.000000000000 meters^2
C. 16000000 meters^2
D. 15660000.00 meters^2
Answer:


prompt:
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 +/- 20 meters takes a measurement of 96270 meters, and an opisometer with a precision of +/- 1 meters reads 5446 meters when measuring a distance between two different points. Using a computer, you divide the first value by the second value and get the solution 17.677194271025. If we express this solution to the proper level of precision, what is the result?
A. 10
B. 17.6772
C. 17.68
D. 17.677194271025
Answer:


prompt:
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 5265000 meters, and a chronometer with a precision of +/- 0.0002 seconds measures a duration as 0.0009 seconds. Using a calculator, you multiply the first number by the second number and get the output 4738.500000000000. Report this output using the correct level of precision.
A. 5000 meter-seconds
B. 4738.500000000000 meter-seconds
C. 4000 meter-seconds
D. 4738.5 meter-seconds
Answer:


prompt:
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 8.04 meters and a stadimeter with a precision of +/- 400 meters reads 5200 meters when measuring a distance between two different points. Using a computer, you multiply the two numbers and get the solution 41808.000000000000. If we write this solution to the suitable level of precision, what is the answer?
A. 42000 meters^2
B. 41800 meters^2
C. 41808.00 meters^2
D. 41808.000000000000 meters^2
Answer:


prompt:
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 +/- 0.3 meters measures a distance of 982.6 meters and a rangefinder with a precision of +/- 40 meters measures a distance between two different points as 8060 meters. Your calculator app gives the solution 7919756.000000000000 when multiplying the two numbers. Write this solution using the appropriate number of significant figures.
A. 7920000 meters^2
B. 7919756.000000000000 meters^2
C. 7919750 meters^2
D. 7919756.000 meters^2
Answer:


prompt:
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 +/- 40 grams takes a measurement of 14580 grams, and a stopwatch with a precision of +/- 0.4 seconds reads 118.8 seconds when measuring a duration. You divide the former value by the latter with a calculator and get the output 122.727272727273. If we report this output to the suitable level of precision, what is the answer?
A. 122.7273 grams/second
B. 120 grams/second
C. 122.727272727273 grams/second
D. 122.7 grams/second
Answer: