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 +/- 0.002 liters takes a measurement of 0.079 liters, and a graduated cylinder with a precision of +/- 0.002 liters reads 0.004 liters when measuring a volume of a different quantity of liquid. Your calculator gets the solution 19.750000000000 when dividing the values. If we round this solution appropriately with respect to the number of significant figures, what is the result?
A. 19.750000000000
B. 19.8
C. 19.750
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 coincidence telemeter with a precision of +/- 2 meters takes a measurement of 70 meters, and a measuring flask with a precision of +/- 0.01 liters reads 71.76 liters when measuring a volume. Your calculator app gets the solution 5023.200000000000 when multiplying the former number by the latter. If we round this solution to the correct number of significant figures, what is the answer?
A. 5000 liter-meters
B. 5023.20 liter-meters
C. 5023 liter-meters
D. 5023.200000000000 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 stopwatch with a precision of +/- 0.02 seconds takes a measurement of 1.57 seconds, and a rangefinder with a precision of +/- 0.03 meters reads 79.92 meters when measuring a distance. Using a computer, you divide the first value by the second value and get the solution 0.019644644645. When this solution is reported to the proper number of significant figures, what do we get?
A. 0.020 seconds/meter
B. 0.0196 seconds/meter
C. 0.019644644645 seconds/meter
D. 0.02 seconds/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 stopwatch with a precision of +/- 0.03 seconds measures a duration of 0.12 seconds and a Biltmore stick with a precision of +/- 0.4 meters measures a distance as 828.3 meters. You multiply the two values with a calculator and get the output 99.396000000000. How would this result look if we expressed it with the appropriate level of precision?
A. 99.396000000000 meter-seconds
B. 99.40 meter-seconds
C. 99 meter-seconds
D. 99.4 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 balance with a precision of +/- 4 grams measures a mass of 68 grams and a cathetometer with a precision of +/- 0.0002 meters measures a distance as 0.0009 meters. After dividing the first value by the second value your calculator gets the solution 75555.555555555556. How would this result look if we expressed it with the appropriate level of precision?
A. 75555.555555555556 grams/meter
B. 80000 grams/meter
C. 75555.6 grams/meter
D. 75555 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 coincidence telemeter with a precision of +/- 0.1 meters takes a measurement of 8.4 meters, and a tape measure with a precision of +/- 0.001 meters reads 0.027 meters when measuring a distance between two different points. Your calculator app yields the output 311.111111111111 when dividing the former number by the latter. If we express this output properly with respect to the level of precision, what is the answer?
A. 310
B. 311.111111111111
C. 311.11
D. 311.1
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 +/- 4000 grams measures a mass of 8000 grams and a spring scale with a precision of +/- 0.01 grams measures a mass of a different object as 3.74 grams. Your calculator app yields the solution 29920.000000000000 when multiplying the former number by the latter. Using the correct level of precision, what is the result?
A. 29000 grams^2
B. 30000 grams^2
C. 29920.000000000000 grams^2
D. 29920.0 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 caliper with a precision of +/- 0.02 meters measures a distance of 0.42 meters and a cathetometer with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0001 meters. Your computer gives the output 4200.000000000000 when dividing the values. How would this answer look if we expressed it with the right number of significant figures?
A. 4200.00
B. 4200.0
C. 4200.000000000000
D. 4000
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 +/- 3 meters measures a distance of 9438 meters and a measuring rod with a precision of +/- 0.002 meters reads 0.001 meters when measuring a distance between two different points. Using a calculator, you divide the former number by the latter and get the solution 9438000.000000000000. Report this solution using the correct level of precision.
A. 9438000
B. 9438000.0
C. 9000000
D. 9438000.000000000000
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 rangefinder with a precision of +/- 10 meters takes a measurement of 6530 meters, and a radar-based method with a precision of +/- 30 meters measures a distance between two different points as 320 meters. Your calculator app produces the solution 2089600.000000000000 when multiplying the values. How can we write this solution to the appropriate level of precision?
A. 2089600.000000000000 meters^2
B. 2100000 meters^2
C. 2089600 meters^2
D. 2089600.00 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).
---

An analytical balance with a precision of +/- 2 grams takes a measurement of 51 grams, and an analytical balance with a precision of +/- 0.04 grams measures a mass of a different object as 0.07 grams. After multiplying the first value by the second value your computer gets the solution 3.570000000000. Write this solution using the appropriate number of significant figures.
A. 4 grams^2
B. 3.570000000000 grams^2
C. 3 grams^2
D. 3.6 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 radar-based method with a precision of +/- 100 meters takes a measurement of 3000 meters, and a graduated cylinder with a precision of +/- 0.002 liters measures a volume as 9.020 liters. Your computer gives the solution 332.594235033259 when dividing the first value by the second value. Using the proper number of significant figures, what is the answer?
A. 332.59 meters/liter
B. 332.594235033259 meters/liter
C. 330 meters/liter
D. 300 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).
---

An odometer with a precision of +/- 1000 meters measures a distance of 91000 meters and a balance with a precision of +/- 0.03 grams measures a mass as 32.56 grams. After multiplying the two values your calculator app gives the output 2962960.000000000000. When this output is expressed to the suitable level of precision, what do we get?
A. 2962000 gram-meters
B. 3000000 gram-meters
C. 2962960.00 gram-meters
D. 2962960.000000000000 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 +/- 200 meters takes a measurement of 5700 meters, and a stopwatch with a precision of +/- 0.2 seconds measures a duration as 2.0 seconds. Your calculator app gives the output 11400.000000000000 when multiplying the first number by the second number. If we report this output correctly with respect to the level of precision, what is the answer?
A. 11400 meter-seconds
B. 11000 meter-seconds
C. 11400.000000000000 meter-seconds
D. 11400.00 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).
---

An opisometer with a precision of +/- 2 meters measures a distance of 61 meters and an opisometer with a precision of +/- 0.2 meters measures a distance between two different points as 41.7 meters. Using a calculator app, you divide the two numbers and get the solution 1.462829736211. Using the correct level of precision, what is the result?
A. 1.46
B. 1.462829736211
C. 1.5
D. 1
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 +/- 3000 meters takes a measurement of 6194000 meters, and a measuring stick with a precision of +/- 0.03 meters reads 1.64 meters when measuring a distance between two different points. Using a calculator app, you multiply the first number by the second number and get the solution 10158160.000000000000. Using the correct level of precision, what is the result?
A. 10158160.000 meters^2
B. 10200000 meters^2
C. 10158160.000000000000 meters^2
D. 10158000 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 24770 grams, and a chronometer with a precision of +/- 0.0003 seconds measures a duration as 0.0498 seconds. Your calculator app yields the output 497389.558232931727 when dividing the first number by the second number. How can we round this output to the suitable number of significant figures?
A. 497389.558232931727 grams/second
B. 497389.558 grams/second
C. 497380 grams/second
D. 497000 grams/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 odometer with a precision of +/- 100 meters measures a distance of 7000 meters and a tape measure with a precision of +/- 0.002 meters reads 3.701 meters when measuring a distance between two different points. You divide the numbers with a computer and get the output 1891.380707916779. If we express this output properly with respect to the level of precision, what is the result?
A. 1891.38
B. 1891.380707916779
C. 1900
D. 1800
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 +/- 0.01 meters measures a distance of 23.41 meters and an opisometer with a precision of +/- 2 meters measures a distance between two different points as 595 meters. You multiply the first number by the second number with a calculator and get the solution 13928.950000000000. When this solution is reported to the right level of precision, what do we get?
A. 13928.950 meters^2
B. 13928 meters^2
C. 13928.950000000000 meters^2
D. 13900 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 measures a volume of 99830 liters and a timer with a precision of +/- 0.4 seconds reads 0.1 seconds when measuring a duration. Using a computer, you divide the former number by the latter and get the output 998300.000000000000. Using the suitable level of precision, what is the answer?
A. 998300.000000000000 liters/second
B. 998300 liters/second
C. 1000000 liters/second
D. 998300.0 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).
---

A clickwheel with a precision of +/- 0.2 meters takes a measurement of 894.2 meters, and a rangefinder with a precision of +/- 1 meters reads 41 meters when measuring a distance between two different points. Your computer gets the solution 21.809756097561 when dividing the first value by the second value. If we write this solution correctly with respect to the level of precision, what is the result?
A. 21.809756097561
B. 21
C. 21.81
D. 22
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 measures a distance of 724000 meters and a radar-based method with a precision of +/- 1 meters reads 2958 meters when measuring a distance between two different points. After multiplying the first value by the second value your calculator gets the output 2141592000.000000000000. Round this output using the appropriate number of significant figures.
A. 2141592000.000000000000 meters^2
B. 2141592000 meters^2
C. 2141592000.000 meters^2
D. 2140000000 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 measuring rod with a precision of +/- 0.003 meters measures a distance of 0.947 meters and a rangefinder with a precision of +/- 30 meters measures a distance between two different points as 40 meters. Your calculator gives the solution 37.880000000000 when multiplying the first value by the second value. Write this solution using the right level of precision.
A. 37.880000000000 meters^2
B. 30 meters^2
C. 37.9 meters^2
D. 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 +/- 2000 grams takes a measurement of 10000 grams, and a caliper with a precision of +/- 0.004 meters reads 2.862 meters when measuring a distance. Your calculator app produces the solution 28620.000000000000 when multiplying the two values. Write this solution using the proper number of significant figures.
A. 29000 gram-meters
B. 28000 gram-meters
C. 28620.000000000000 gram-meters
D. 28620.00 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).
---

A coincidence telemeter with a precision of +/- 200 meters measures a distance of 2600 meters and a stadimeter with a precision of +/- 30 meters reads 290 meters when measuring a distance between two different points. You multiply the two numbers with a calculator app and get the output 754000.000000000000. When this output is written to the correct number of significant figures, what do we get?
A. 754000.00 meters^2
B. 754000.000000000000 meters^2
C. 754000 meters^2
D. 750000 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 meter stick with a precision of +/- 0.0004 meters measures a distance of 0.0729 meters and a storage container with a precision of +/- 4 liters reads 48 liters when measuring a volume. Your calculator app produces the output 3.499200000000 when multiplying the former value by the latter. How can we report this output to the correct level of precision?
A. 3.499200000000 liter-meters
B. 3.5 liter-meters
C. 3 liter-meters
D. 3.50 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 storage container with a precision of +/- 0.1 liters measures a volume of 32.1 liters and a hydraulic scale with a precision of +/- 0.0004 grams measures a mass as 0.0045 grams. Your calculator gives the solution 7133.333333333333 when dividing the values. When this solution is rounded to the proper number of significant figures, what do we get?
A. 7133.333333333333 liters/gram
B. 7100 liters/gram
C. 7133.33 liters/gram
D. 7133.3 liters/gram
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 +/- 0.1 seconds takes a measurement of 63.8 seconds, and a timer with a precision of +/- 0.2 seconds reads 822.8 seconds when measuring a duration of a different event. Your calculator app yields the output 0.077540106952 when dividing the two numbers. Write this output using the suitable number of significant figures.
A. 0.0775
B. 0.078
C. 0.1
D. 0.077540106952
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 +/- 0.2 meters measures a distance of 6.3 meters and a measuring rod with a precision of +/- 0.002 meters reads 0.085 meters when measuring a distance between two different points. Using a calculator, you divide the two values and get the output 74.117647058824. Write this output using the correct level of precision.
A. 74
B. 74.12
C. 74.1
D. 74.117647058824
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 +/- 1 meters measures a distance of 7999 meters and a measuring tape with a precision of +/- 0.4 meters measures a distance between two different points as 0.2 meters. Your calculator app gives the output 39995.000000000000 when dividing the former value by the latter. When this output is rounded to the proper level of precision, what do we get?
A. 39995
B. 40000
C. 39995.0
D. 39995.000000000000
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 +/- 0.0001 meters takes a measurement of 0.8061 meters, and a spring scale with a precision of +/- 4 grams measures a mass as 878 grams. You multiply the two numbers with a calculator and get the output 707.755800000000. When this output is expressed to the appropriate level of precision, what do we get?
A. 708 gram-meters
B. 707.756 gram-meters
C. 707.755800000000 gram-meters
D. 707 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 measuring stick with a precision of +/- 0.01 meters measures a distance of 5.99 meters and a coincidence telemeter with a precision of +/- 40 meters measures a distance between two different points as 44730 meters. After multiplying the values your computer gets the solution 267932.700000000000. When this solution is written to the suitable number of significant figures, what do we get?
A. 267932.700 meters^2
B. 267930 meters^2
C. 267932.700000000000 meters^2
D. 268000 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 +/- 0.1 meters takes a measurement of 2.3 meters, and a cathetometer with a precision of +/- 0.00001 meters reads 0.00850 meters when measuring a distance between two different points. Your calculator app produces the output 270.588235294118 when dividing the first number by the second number. Using the proper level of precision, what is the answer?
A. 270.588235294118
B. 270.6
C. 270
D. 270.59
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 0.6 seconds and an analytical balance with a precision of +/- 40 grams measures a mass as 2900 grams. You multiply the former number by the latter with a calculator and get the output 1740.000000000000. Using the proper number of significant figures, what is the answer?
A. 1740.000000000000 gram-seconds
B. 1740.0 gram-seconds
C. 2000 gram-seconds
D. 1740 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 +/- 0.002 seconds takes a measurement of 0.005 seconds, and a cathetometer with a precision of +/- 0.00002 meters reads 0.00356 meters when measuring a distance. Your calculator produces the solution 1.404494382022 when dividing the values. If we report this solution to the right level of precision, what is the result?
A. 1.404494382022 seconds/meter
B. 1.404 seconds/meter
C. 1 seconds/meter
D. 1.4 seconds/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 balance with a precision of +/- 0.2 grams measures a mass of 7.3 grams and a measuring tape with a precision of +/- 0.4 meters measures a distance as 8.4 meters. After multiplying the former value by the latter your computer produces the output 61.320000000000. How can we express this output to the correct level of precision?
A. 61 gram-meters
B. 61.3 gram-meters
C. 61.32 gram-meters
D. 61.320000000000 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 +/- 100 meters takes a measurement of 968100 meters, and a timer with a precision of +/- 0.002 seconds reads 1.328 seconds when measuring a duration. You multiply the two values with a computer and get the solution 1285636.800000000000. How can we write this solution to the correct number of significant figures?
A. 1285636.8000 meter-seconds
B. 1285636.800000000000 meter-seconds
C. 1286000 meter-seconds
D. 1285600 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).
---

An opisometer with a precision of +/- 2 meters takes a measurement of 1315 meters, and a measuring stick with a precision of +/- 0.01 meters reads 0.01 meters when measuring a distance between two different points. You multiply the first value by the second value with a computer and get the output 13.150000000000. Round this output using the suitable level of precision.
A. 13 meters^2
B. 10 meters^2
C. 13.2 meters^2
D. 13.150000000000 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 measuring tape with a precision of +/- 0.3 meters measures a distance of 692.5 meters and a measuring flask with a precision of +/- 0.01 liters measures a volume as 0.74 liters. Your calculator app gives the output 512.450000000000 when multiplying the former number by the latter. When this output is written to the suitable level of precision, what do we get?
A. 512.4 liter-meters
B. 512.45 liter-meters
C. 510 liter-meters
D. 512.450000000000 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 balance with a precision of +/- 1 grams takes a measurement of 952 grams, and a cathetometer with a precision of +/- 0.00003 meters measures a distance as 0.02852 meters. Your calculator yields the output 27.151040000000 when multiplying the two numbers. How can we write this output to the proper level of precision?
A. 27.2 gram-meters
B. 27 gram-meters
C. 27.151 gram-meters
D. 27.151040000000 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 +/- 0.2 liters measures a volume of 691.5 liters and a Biltmore stick with a precision of +/- 0.03 meters reads 3.20 meters when measuring a distance. Using a calculator, you multiply the former value by the latter and get the output 2212.800000000000. Using the suitable level of precision, what is the answer?
A. 2212.800 liter-meters
B. 2212.800000000000 liter-meters
C. 2210 liter-meters
D. 2212.8 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 cathetometer with a precision of +/- 0.00001 meters takes a measurement of 0.05479 meters, and a stopwatch with a precision of +/- 0.2 seconds reads 786.0 seconds when measuring a duration. You multiply the two numbers with a calculator app and get the solution 43.064940000000. Using the appropriate number of significant figures, what is the result?
A. 43.0649 meter-seconds
B. 43.06 meter-seconds
C. 43.1 meter-seconds
D. 43.064940000000 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 rod with a precision of +/- 0.0003 meters measures a distance of 0.6152 meters and a timer with a precision of +/- 0.02 seconds measures a duration as 0.08 seconds. Using a calculator app, you divide the former value by the latter and get the solution 7.690000000000. Round this solution using the right level of precision.
A. 7.690000000000 meters/second
B. 7.7 meters/second
C. 8 meters/second
D. 7.69 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 stopwatch with a precision of +/- 0.3 seconds measures a duration of 883.7 seconds and a spring scale with a precision of +/- 0.02 grams reads 48.85 grams when measuring a mass. Your calculator app produces the solution 43168.745000000000 when multiplying the two values. When this solution is rounded to the proper number of significant figures, what do we get?
A. 43168.7 gram-seconds
B. 43168.745000000000 gram-seconds
C. 43168.7450 gram-seconds
D. 43170 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 balance with a precision of +/- 400 grams takes a measurement of 115700 grams, and a clickwheel with a precision of +/- 0.03 meters reads 6.19 meters when measuring a distance. Using a calculator app, you multiply the former number by the latter and get the solution 716183.000000000000. Write this solution using the suitable number of significant figures.
A. 716183.000000000000 gram-meters
B. 716000 gram-meters
C. 716100 gram-meters
D. 716183.000 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 hydraulic scale with a precision of +/- 10 grams measures a mass of 9730 grams and a measuring flask with a precision of +/- 0.01 liters reads 57.38 liters when measuring a volume. Your calculator app produces the output 558307.400000000000 when multiplying the numbers. If we round this output correctly with respect to the number of significant figures, what is the answer?
A. 558307.400000000000 gram-liters
B. 558307.400 gram-liters
C. 558000 gram-liters
D. 558300 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 stopwatch with a precision of +/- 0.003 seconds measures a duration of 0.004 seconds and a balance with a precision of +/- 2 grams reads 4662 grams when measuring a mass. Your calculator produces the solution 18.648000000000 when multiplying the two numbers. Using the correct number of significant figures, what is the answer?
A. 18.6 gram-seconds
B. 18.648000000000 gram-seconds
C. 18 gram-seconds
D. 20 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 measuring flask with a precision of +/- 0.004 liters measures a volume of 0.449 liters and a measuring flask with a precision of +/- 0.002 liters reads 0.074 liters when measuring a volume of a different quantity of liquid. Using a calculator, you divide the former value by the latter and get the output 6.067567567568. If we write this output to the correct number of significant figures, what is the answer?
A. 6.07
B. 6.068
C. 6.1
D. 6.067567567568
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 +/- 100 meters takes a measurement of 55900 meters, and a measuring stick with a precision of +/- 0.004 meters reads 3.296 meters when measuring a distance between two different points. Using a calculator, you divide the first number by the second number and get the solution 16959.951456310680. Using the proper level of precision, what is the result?
A. 17000
B. 16959.951456310680
C. 16959.951
D. 16900
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 +/- 0.01 grams measures a mass of 88.65 grams and a clickwheel with a precision of +/- 0.01 meters measures a distance as 0.08 meters. Your calculator app produces the output 7.092000000000 when multiplying the former value by the latter. If we round this output to the proper number of significant figures, what is the result?
A. 7.1 gram-meters
B. 7.09 gram-meters
C. 7.092000000000 gram-meters
D. 7 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 coincidence telemeter with a precision of +/- 4 meters takes a measurement of 8947 meters, and a coincidence telemeter with a precision of +/- 400 meters measures a distance between two different points as 551600 meters. Your computer gives the solution 4935165200.000000000000 when multiplying the former number by the latter. If we express this solution appropriately with respect to the number of significant figures, what is the answer?
A. 4935000000 meters^2
B. 4935165200.0000 meters^2
C. 4935165200.000000000000 meters^2
D. 4935165200 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 odometer with a precision of +/- 2000 meters measures a distance of 489000 meters and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 5.138 liters. You divide the two values with a calculator app and get the solution 95173.219151420786. Using the correct number of significant figures, what is the result?
A. 95173.219 meters/liter
B. 95000 meters/liter
C. 95173.219151420786 meters/liter
D. 95200 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 flask with a precision of +/- 0.004 liters takes a measurement of 0.082 liters, and a stopwatch with a precision of +/- 0.004 seconds measures a duration as 0.078 seconds. Your computer yields the output 0.006396000000 when multiplying the two numbers. How would this answer look if we reported it with the suitable level of precision?
A. 0.0064 liter-seconds
B. 0.006 liter-seconds
C. 0.006396000000 liter-seconds
D. 0.01 liter-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 stick with a precision of +/- 0.2 meters measures a distance of 52.3 meters and an odometer with a precision of +/- 400 meters reads 3600 meters when measuring a distance between two different points. After multiplying the two numbers your calculator app produces the solution 188280.000000000000. How can we express this solution to the correct number of significant figures?
A. 188280.00 meters^2
B. 188200 meters^2
C. 188280.000000000000 meters^2
D. 190000 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 19280 meters and a tape measure with a precision of +/- 0.002 meters measures a distance between two different points as 0.006 meters. Using a calculator app, you divide the former number by the latter and get the solution 3213333.333333333333. Using the appropriate number of significant figures, what is the answer?
A. 3000000
B. 3213333.333333333333
C. 3213330
D. 3213333.3
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).
---

A stopwatch with a precision of +/- 0.04 seconds takes a measurement of 90.10 seconds, and an analytical balance with a precision of +/- 300 grams reads 1000 grams when measuring a mass. You multiply the former number by the latter with a calculator app and get the solution 90100.000000000000. If we write this solution correctly with respect to the level of precision, what is the result?
A. 90100.00 gram-seconds
B. 90100 gram-seconds
C. 90100.000000000000 gram-seconds
D. 90000 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 stadimeter with a precision of +/- 0.3 meters measures a distance of 727.5 meters and a ruler with a precision of +/- 0.0004 meters reads 0.0071 meters when measuring a distance between two different points. After dividing the first value by the second value your calculator yields the solution 102464.788732394366. Using the appropriate number of significant figures, what is the answer?
A. 102464.8
B. 100000
C. 102464.788732394366
D. 102464.79
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 +/- 100 meters takes a measurement of 100 meters, and a balance with a precision of +/- 0.002 grams reads 0.009 grams when measuring a mass. You divide the former number by the latter with a calculator app and get the output 11111.111111111111. How would this result look if we expressed it with the suitable level of precision?
A. 11100 meters/gram
B. 10000 meters/gram
C. 11111.111111111111 meters/gram
D. 11111.1 meters/gram
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 caliper with a precision of +/- 0.003 meters takes a measurement of 0.009 meters, and a meter stick with a precision of +/- 0.0004 meters reads 0.0078 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 1.153846153846. If we round this solution to the proper level of precision, what is the answer?
A. 1.154
B. 1.153846153846
C. 1.2
D. 1
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 58830 liters, and a Biltmore stick with a precision of +/- 0.2 meters reads 0.2 meters when measuring a distance. You divide the two numbers with a calculator app and get the output 294150.000000000000. How can we report this output to the proper number of significant figures?
A. 294150 liters/meter
B. 300000 liters/meter
C. 294150.000000000000 liters/meter
D. 294150.0 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 biltmore stick with a precision of +/- 0.03 meters takes a measurement of 0.74 meters, and a caliper with a precision of +/- 0.002 meters measures a distance between two different points as 0.003 meters. After dividing the first number by the second number your calculator produces the solution 246.666666666667. How can we round this solution to the proper level of precision?
A. 246.67
B. 246.7
C. 246.666666666667
D. 200
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 +/- 0.03 seconds measures a duration of 0.08 seconds and an odometer with a precision of +/- 2000 meters reads 524000 meters when measuring a distance. Your calculator gets the solution 41920.000000000000 when multiplying the two numbers. Express this solution using the correct number of significant figures.
A. 41920.0 meter-seconds
B. 40000 meter-seconds
C. 41920.000000000000 meter-seconds
D. 41000 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).
---

An opisometer with a precision of +/- 0.1 meters takes a measurement of 6.6 meters, and a chronograph with a precision of +/- 0.2 seconds measures a duration as 97.6 seconds. Your calculator yields the output 0.067622950820 when dividing the values. How can we report this output to the right number of significant figures?
A. 0.068 meters/second
B. 0.1 meters/second
C. 0.07 meters/second
D. 0.067622950820 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 biltmore stick with a precision of +/- 0.04 meters takes a measurement of 58.93 meters, and an opisometer with a precision of +/- 0.01 meters reads 4.27 meters when measuring a distance between two different points. You multiply the two numbers with a calculator app and get the output 251.631100000000. How can we write this output to the proper level of precision?
A. 251.63 meters^2
B. 252 meters^2
C. 251.631100000000 meters^2
D. 251.631 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 measuring rod with a precision of +/- 0.0004 meters takes a measurement of 0.0017 meters, and a graduated cylinder with a precision of +/- 0.004 liters reads 0.001 liters when measuring a volume. You divide the former value by the latter with a computer and get the output 1.700000000000. Round this output using the proper number of significant figures.
A. 1.700 meters/liter
B. 1.700000000000 meters/liter
C. 2 meters/liter
D. 1.7 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 coincidence telemeter with a precision of +/- 20 meters takes a measurement of 50 meters, and a hydraulic scale with a precision of +/- 3000 grams reads 5000 grams when measuring a mass. Your calculator produces the output 250000.000000000000 when multiplying the first value by the second value. Using the appropriate number of significant figures, what is the result?
A. 250000.000000000000 gram-meters
B. 200000 gram-meters
C. 250000.0 gram-meters
D. 250000 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 timer with a precision of +/- 0.004 seconds measures a duration of 5.676 seconds and a ruler with a precision of +/- 0.0002 meters measures a distance as 0.0010 meters. Using a computer, you multiply the former number by the latter and get the solution 0.005676000000. If we report this solution suitably with respect to the number of significant figures, what is the result?
A. 0.005676000000 meter-seconds
B. 0.006 meter-seconds
C. 0.01 meter-seconds
D. 0.0057 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 biltmore stick with a precision of +/- 0.1 meters measures a distance of 432.3 meters and a balance with a precision of +/- 0.4 grams reads 9.5 grams when measuring a mass. You divide the two values with a computer and get the solution 45.505263157895. How would this result look if we wrote it with the appropriate number of significant figures?
A. 45.5 meters/gram
B. 45.505263157895 meters/gram
C. 45.51 meters/gram
D. 46 meters/gram
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 +/- 0.0003 meters measures a distance of 0.1809 meters and a measuring flask with a precision of +/- 0.02 liters reads 6.73 liters when measuring a volume. After dividing the first number by the second number your calculator gives the solution 0.026879643388. Write this solution using the appropriate number of significant figures.
A. 0.027 meters/liter
B. 0.03 meters/liter
C. 0.026879643388 meters/liter
D. 0.0269 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 ruler with a precision of +/- 0.003 meters measures a distance of 7.959 meters and a measuring rod with a precision of +/- 0.03 meters measures a distance between two different points as 27.49 meters. Using a calculator, you multiply the former value by the latter and get the output 218.792910000000. If we express this output to the suitable level of precision, what is the answer?
A. 218.79 meters^2
B. 218.7929 meters^2
C. 218.792910000000 meters^2
D. 218.8 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 +/- 1000 grams measures a mass of 5000 grams and a ruler with a precision of +/- 0.01 meters reads 70.51 meters when measuring a distance. Your calculator gets the solution 352550.000000000000 when multiplying the former value by the latter. If we report this solution to the right level of precision, what is the result?
A. 400000 gram-meters
B. 352000 gram-meters
C. 352550.0 gram-meters
D. 352550.000000000000 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 stopwatch with a precision of +/- 0.1 seconds takes a measurement of 368.8 seconds, and a stadimeter with a precision of +/- 200 meters reads 229000 meters when measuring a distance. You multiply the former number by the latter with a calculator and get the output 84455200.000000000000. When this output is reported to the proper number of significant figures, what do we get?
A. 84460000 meter-seconds
B. 84455200.0000 meter-seconds
C. 84455200.000000000000 meter-seconds
D. 84455200 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).
---

An analytical balance with a precision of +/- 100 grams takes a measurement of 9600 grams, and a radar-based method with a precision of +/- 30 meters reads 970 meters when measuring a distance. Your calculator app produces the solution 9312000.000000000000 when multiplying the former value by the latter. Round this solution using the proper level of precision.
A. 9300000 gram-meters
B. 9312000.00 gram-meters
C. 9312000 gram-meters
D. 9312000.000000000000 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).
---

An analytical balance with a precision of +/- 1 grams measures a mass of 5 grams and a rangefinder with a precision of +/- 0.003 meters reads 0.003 meters when measuring a distance. After dividing the values your computer produces the output 1666.666666666667. How would this answer look if we reported it with the proper number of significant figures?
A. 1666.7 grams/meter
B. 1666.666666666667 grams/meter
C. 2000 grams/meter
D. 1666 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 stadimeter with a precision of +/- 1 meters takes a measurement of 55 meters, and a balance with a precision of +/- 30 grams measures a mass as 2530 grams. Your calculator gives the output 139150.000000000000 when multiplying the former number by the latter. How can we round this output to the proper level of precision?
A. 140000 gram-meters
B. 139150 gram-meters
C. 139150.000000000000 gram-meters
D. 139150.00 gram-meters
Answer: