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 +/- 0.3 meters takes a measurement of 66.9 meters, and a spring scale with a precision of +/- 0.3 grams reads 64.9 grams when measuring a mass. After dividing the two values your calculator produces the output 1.030816640986. How would this answer look if we expressed it with the right level of precision?
A. 1.030816640986 meters/gram
B. 1.0 meters/gram
C. 1.03 meters/gram
D. 1.031 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 storage container with a precision of +/- 3 liters measures a volume of 7062 liters and a ruler with a precision of +/- 0.0001 meters measures a distance as 0.4624 meters. Using a calculator, you divide the former number by the latter and get the solution 15272.491349480969. If we write this solution to the proper number of significant figures, what is the answer?
A. 15270 liters/meter
B. 15272 liters/meter
C. 15272.4913 liters/meter
D. 15272.491349480969 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 chronograph with a precision of +/- 0.3 seconds takes a measurement of 71.7 seconds, and an odometer with a precision of +/- 1000 meters reads 932000 meters when measuring a distance. Your calculator app produces the solution 66824400.000000000000 when multiplying the first value by the second value. If we write this solution to the right level of precision, what is the answer?
A. 66800000 meter-seconds
B. 66824400.000000000000 meter-seconds
C. 66824400.000 meter-seconds
D. 66824000 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A measuring tape with a precision of +/- 0.04 meters takes a measurement of 0.09 meters, and a chronometer with a precision of +/- 0.0003 seconds measures a duration as 0.0866 seconds. Using a calculator, you divide the former number by the latter and get the solution 1.039260969977. Write this solution using the appropriate level of precision.
A. 1 meters/second
B. 1.04 meters/second
C. 1.039260969977 meters/second
D. 1.0 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 meter stick with a precision of +/- 0.0001 meters measures a distance of 0.0007 meters and an odometer with a precision of +/- 100 meters reads 565700 meters when measuring a distance between two different points. Using a computer, you multiply the two numbers and get the solution 395.990000000000. Using the suitable number of significant figures, what is the result?
A. 395.990000000000 meters^2
B. 400 meters^2
C. 300 meters^2
D. 396.0 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A coincidence telemeter with a precision of +/- 300 meters measures a distance of 29500 meters and an analytical balance with a precision of +/- 0.004 grams reads 0.039 grams when measuring a mass. After dividing the numbers your calculator app produces the output 756410.256410256410. How can we write this output to the correct level of precision?
A. 756410.256410256410 meters/gram
B. 756400 meters/gram
C. 760000 meters/gram
D. 756410.26 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 stadimeter with a precision of +/- 10 meters takes a measurement of 920 meters, and a timer with a precision of +/- 0.004 seconds reads 0.016 seconds when measuring a duration. After multiplying the first number by the second number your calculator yields the output 14.720000000000. How can we report this output to the proper number of significant figures?
A. 10 meter-seconds
B. 14.720000000000 meter-seconds
C. 14.72 meter-seconds
D. 15 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 hydraulic scale with a precision of +/- 1000 grams measures a mass of 9000 grams and a measuring stick with a precision of +/- 0.004 meters reads 0.022 meters when measuring a distance. You divide the values with a calculator and get the solution 409090.909090909091. Using the suitable level of precision, what is the result?
A. 409090.909090909091 grams/meter
B. 409000 grams/meter
C. 400000 grams/meter
D. 409090.9 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).
---

An odometer with a precision of +/- 300 meters takes a measurement of 91900 meters, and a measuring tape with a precision of +/- 0.04 meters measures a distance between two different points as 0.08 meters. After multiplying the values your calculator produces the output 7352.000000000000. How would this answer look if we expressed it with the right number of significant figures?
A. 7352.0 meters^2
B. 7300 meters^2
C. 7352.000000000000 meters^2
D. 7000 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 +/- 0.02 meters measures a distance of 82.88 meters and an odometer with a precision of +/- 1000 meters measures a distance between two different points as 7000 meters. After multiplying the first value by the second value your calculator gets the solution 580160.000000000000. If we round this solution appropriately with respect to the level of precision, what is the result?
A. 580160.0 meters^2
B. 580160.000000000000 meters^2
C. 580000 meters^2
D. 600000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A biltmore stick with a precision of +/- 0.04 meters measures a distance of 66.68 meters and an odometer with a precision of +/- 2000 meters reads 13000 meters when measuring a distance between two different points. Your computer produces the solution 866840.000000000000 when multiplying the values. Report this solution using the appropriate level of precision.
A. 866000 meters^2
B. 866840.000000000000 meters^2
C. 866840.00 meters^2
D. 870000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A tape measure with a precision of +/- 0.002 meters measures a distance of 0.008 meters and an analytical balance with a precision of +/- 0.0001 grams reads 0.0008 grams when measuring a mass. Using a calculator app, you divide the two numbers and get the output 10.000000000000. How can we express this output to the appropriate level of precision?
A. 10.000 meters/gram
B. 10 meters/gram
C. 10.000000000000 meters/gram
D. 10.0 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 stadimeter with a precision of +/- 300 meters takes a measurement of 96900 meters, and a measuring rod with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0065 meters. After dividing the first number by the second number your computer gets the output 14907692.307692307692. Round this output using the right level of precision.
A. 15000000
B. 14907692.307692307692
C. 14907600
D. 14907692.31
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 +/- 20 meters measures a distance of 370 meters and a stopwatch with a precision of +/- 0.003 seconds measures a duration as 7.411 seconds. After multiplying the values your calculator gives the output 2742.070000000000. How can we express this output to the appropriate level of precision?
A. 2740 meter-seconds
B. 2742.07 meter-seconds
C. 2742.070000000000 meter-seconds
D. 2700 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 spring scale with a precision of +/- 1000 grams measures a mass of 53000 grams and a chronometer with a precision of +/- 0.0004 seconds measures a duration as 0.0007 seconds. You divide the numbers with a calculator and get the output 75714285.714285714286. How can we express this output to the appropriate level of precision?
A. 75714285.7 grams/second
B. 75714285.714285714286 grams/second
C. 80000000 grams/second
D. 75714000 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).
---

A stopwatch with a precision of +/- 0.2 seconds takes a measurement of 38.9 seconds, and a coincidence telemeter with a precision of +/- 100 meters reads 772800 meters when measuring a distance. After multiplying the values your computer yields the output 30061920.000000000000. If we write this output correctly with respect to the number of significant figures, what is the answer?
A. 30061920.000 meter-seconds
B. 30061920.000000000000 meter-seconds
C. 30061900 meter-seconds
D. 30100000 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 spring scale with a precision of +/- 0.0001 grams measures a mass of 0.0940 grams and a tape measure with a precision of +/- 0.0004 meters reads 0.0461 meters when measuring a distance. After dividing the first value by the second value your calculator yields the solution 2.039045553145. How can we round this solution to the appropriate level of precision?
A. 2.04 grams/meter
B. 2.039045553145 grams/meter
C. 2.039 grams/meter
D. 2.0390 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 biltmore stick with a precision of +/- 0.4 meters takes a measurement of 25.0 meters, and a cathetometer with a precision of +/- 0.00001 meters measures a distance between two different points as 0.08156 meters. You divide the two values with a calculator and get the output 306.522805296714. How can we write this output to the right level of precision?
A. 306.523
B. 306.5
C. 307
D. 306.522805296714
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 +/- 20 grams measures a mass of 950 grams and a clickwheel with a precision of +/- 0.4 meters reads 0.7 meters when measuring a distance. Using a calculator, you divide the values and get the solution 1357.142857142857. How can we round this solution to the appropriate number of significant figures?
A. 1350 grams/meter
B. 1000 grams/meter
C. 1357.1 grams/meter
D. 1357.142857142857 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 rangefinder with a precision of +/- 0.004 meters measures a distance of 0.913 meters and a radar-based method with a precision of +/- 40 meters measures a distance between two different points as 13250 meters. Using a calculator app, you multiply the two values and get the output 12097.250000000000. How can we round this output to the suitable level of precision?
A. 12097.250000000000 meters^2
B. 12100 meters^2
C. 12090 meters^2
D. 12097.250 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 flask with a precision of +/- 0.003 liters takes a measurement of 0.655 liters, and a Biltmore stick with a precision of +/- 0.04 meters reads 0.08 meters when measuring a distance. You divide the former number by the latter with a calculator and get the output 8.187500000000. Using the correct level of precision, what is the result?
A. 8.187500000000 liters/meter
B. 8.2 liters/meter
C. 8.19 liters/meter
D. 8 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 radar-based method with a precision of +/- 300 meters measures a distance of 700 meters and a radar-based method with a precision of +/- 400 meters reads 4100 meters when measuring a distance between two different points. You multiply the former value by the latter with a calculator and get the output 2870000.000000000000. Express this output using the correct number of significant figures.
A. 2870000.000000000000 meters^2
B. 3000000 meters^2
C. 2870000 meters^2
D. 2870000.0 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A hydraulic scale with a precision of +/- 2000 grams takes a measurement of 6922000 grams, and a stadimeter with a precision of +/- 0.2 meters measures a distance as 551.6 meters. After multiplying the two numbers your calculator app yields the output 3818175200.000000000000. Using the proper level of precision, what is the answer?
A. 3818175200.0000 gram-meters
B. 3818000000 gram-meters
C. 3818175200.000000000000 gram-meters
D. 3818175000 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 +/- 3000 meters measures a distance of 221000 meters and a balance with a precision of +/- 0.1 grams reads 98.2 grams when measuring a mass. Your computer yields the solution 2250.509164969450 when dividing the numbers. Using the suitable level of precision, what is the answer?
A. 2250 meters/gram
B. 2250.509164969450 meters/gram
C. 2000 meters/gram
D. 2250.509 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).
---

An analytical balance with a precision of +/- 30 grams measures a mass of 320 grams and a storage container with a precision of +/- 1 liters measures a volume as 29 liters. After multiplying the first value by the second value your calculator yields the solution 9280.000000000000. If we express this solution to the right number of significant figures, what is the answer?
A. 9300 gram-liters
B. 9280 gram-liters
C. 9280.00 gram-liters
D. 9280.000000000000 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 coincidence telemeter with a precision of +/- 4 meters takes a measurement of 9971 meters, and a measuring rod with a precision of +/- 0.01 meters measures a distance between two different points as 0.10 meters. Your calculator app yields the solution 997.100000000000 when multiplying the values. How can we express this solution to the appropriate number of significant figures?
A. 997.100000000000 meters^2
B. 1000 meters^2
C. 997 meters^2
D. 997.10 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 stick with a precision of +/- 0.03 meters takes a measurement of 3.45 meters, and a measuring stick with a precision of +/- 0.03 meters reads 74.47 meters when measuring a distance between two different points. Your calculator gets the solution 0.046327380153 when dividing the former value by the latter. How would this result look if we expressed it with the appropriate number of significant figures?
A. 0.05
B. 0.046
C. 0.046327380153
D. 0.0463
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 +/- 20 grams takes a measurement of 62140 grams, and a tape measure with a precision of +/- 0.001 meters reads 7.695 meters when measuring a distance. After dividing the two values your calculator produces the output 8075.373619233268. Round this output using the appropriate number of significant figures.
A. 8075.373619233268 grams/meter
B. 8075 grams/meter
C. 8070 grams/meter
D. 8075.3736 grams/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A measuring tape with a precision of +/- 0.04 meters takes a measurement of 79.88 meters, and a tape measure with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0007 meters. After dividing the first value by the second value your calculator app gets the output 114114.285714285714. When this output is written to the appropriate number of significant figures, what do we get?
A. 114114.29
B. 114114.3
C. 114114.285714285714
D. 100000
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 takes a measurement of 246.1 meters, and a measuring tape with a precision of +/- 0.04 meters measures a distance between two different points as 82.49 meters. Your calculator app produces the solution 20300.789000000000 when multiplying the former number by the latter. How can we round this solution to the proper level of precision?
A. 20300 meters^2
B. 20300.7890 meters^2
C. 20300.789000000000 meters^2
D. 20300.8 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 rangefinder with a precision of +/- 10 meters takes a measurement of 74830 meters, and a measuring flask with a precision of +/- 0.004 liters reads 0.263 liters when measuring a volume. You multiply the first number by the second number with a calculator app and get the output 19680.290000000000. Using the appropriate number of significant figures, what is the result?
A. 19680.290 liter-meters
B. 19680.290000000000 liter-meters
C. 19700 liter-meters
D. 19680 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

An analytical balance with a precision of +/- 20 grams measures a mass of 1600 grams and a cathetometer with a precision of +/- 0.00002 meters measures a distance as 0.01954 meters. You divide the former value by the latter with a calculator and get the output 81883.316274309110. If we report this output to the proper number of significant figures, what is the answer?
A. 81883.316 grams/meter
B. 81880 grams/meter
C. 81883.316274309110 grams/meter
D. 81900 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 +/- 4 meters measures a distance of 6 meters and a ruler with a precision of +/- 0.0004 meters reads 0.1176 meters when measuring a distance between two different points. Using a calculator app, you divide the values and get the solution 51.020408163265. When this solution is expressed to the proper number of significant figures, what do we get?
A. 50
B. 51.0
C. 51
D. 51.020408163265
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 +/- 2 grams measures a mass of 981 grams and an opisometer with a precision of +/- 0.4 meters measures a distance as 701.3 meters. After multiplying the first value by the second value your computer yields the output 687975.300000000000. Using the suitable number of significant figures, what is the answer?
A. 687975 gram-meters
B. 688000 gram-meters
C. 687975.300 gram-meters
D. 687975.300000000000 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 +/- 2000 meters measures a distance of 120000 meters and a spring scale with a precision of +/- 4 grams reads 563 grams when measuring a mass. You multiply the numbers with a calculator and get the output 67560000.000000000000. How would this answer look if we rounded it with the appropriate number of significant figures?
A. 67600000 gram-meters
B. 67560000.000000000000 gram-meters
C. 67560000.000 gram-meters
D. 67560000 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 flask with a precision of +/- 0.04 liters measures a volume of 0.83 liters and an opisometer with a precision of +/- 0.1 meters measures a distance as 846.1 meters. Your calculator app produces the output 702.263000000000 when multiplying the former value by the latter. If we write this output to the suitable level of precision, what is the answer?
A. 700 liter-meters
B. 702.263000000000 liter-meters
C. 702.26 liter-meters
D. 702.3 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 rangefinder with a precision of +/- 0.0003 meters measures a distance of 0.0698 meters and an analytical balance with a precision of +/- 0.002 grams reads 0.007 grams when measuring a mass. Your computer gets the output 9.971428571429 when dividing the values. How would this answer look if we wrote it with the suitable level of precision?
A. 9.971 meters/gram
B. 10.0 meters/gram
C. 10 meters/gram
D. 9.971428571429 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).
---

An odometer with a precision of +/- 2000 meters measures a distance of 251000 meters and a coincidence telemeter with a precision of +/- 0.4 meters reads 495.8 meters when measuring a distance between two different points. Your computer produces the output 124445800.000000000000 when multiplying the first number by the second number. Using the appropriate number of significant figures, what is the result?
A. 124445800.000000000000 meters^2
B. 124445000 meters^2
C. 124445800.000 meters^2
D. 124000000 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 +/- 3 meters measures a distance of 8498 meters and a timer with a precision of +/- 0.002 seconds reads 0.082 seconds when measuring a duration. After dividing the former value by the latter your computer yields the output 103634.146341463415. Report this output using the correct number of significant figures.
A. 103634 meters/second
B. 103634.146341463415 meters/second
C. 103634.15 meters/second
D. 100000 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 tape measure with a precision of +/- 0.003 meters measures a distance of 0.016 meters and a tape measure with a precision of +/- 0.0001 meters measures a distance between two different points as 0.4143 meters. Your calculator app gives the solution 0.006628800000 when multiplying the numbers. Using the right number of significant figures, what is the result?
A. 0.01 meters^2
B. 0.0066 meters^2
C. 0.006628800000 meters^2
D. 0.007 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 797.5 meters, and a caliper with a precision of +/- 0.002 meters measures a distance between two different points as 0.055 meters. You multiply the values with a calculator app and get the output 43.862500000000. If we report this output to the suitable number of significant figures, what is the answer?
A. 43.862500000000 meters^2
B. 43.9 meters^2
C. 44 meters^2
D. 43.86 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 chronograph with a precision of +/- 0.3 seconds measures a duration of 8.2 seconds and an opisometer with a precision of +/- 0.04 meters reads 3.57 meters when measuring a distance. After multiplying the two numbers your computer produces the solution 29.274000000000. Using the proper level of precision, what is the result?
A. 29 meter-seconds
B. 29.27 meter-seconds
C. 29.274000000000 meter-seconds
D. 29.3 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A radar-based method with a precision of +/- 20 meters measures a distance of 30 meters and a timer with a precision of +/- 0.004 seconds reads 4.586 seconds when measuring a duration. You multiply the two numbers with a calculator app and get the output 137.580000000000. If we express this output to the proper level of precision, what is the result?
A. 137.6 meter-seconds
B. 137.580000000000 meter-seconds
C. 100 meter-seconds
D. 130 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 +/- 20 grams measures a mass of 9260 grams and a measuring flask with a precision of +/- 0.02 liters measures a volume as 7.86 liters. Your computer gives the solution 72783.600000000000 when multiplying the first value by the second value. Write this solution using the appropriate number of significant figures.
A. 72800 gram-liters
B. 72780 gram-liters
C. 72783.600000000000 gram-liters
D. 72783.600 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 timer with a precision of +/- 0.4 seconds takes a measurement of 0.1 seconds, and a radar-based method with a precision of +/- 300 meters reads 58400 meters when measuring a distance. Using a calculator, you multiply the two numbers and get the solution 5840.000000000000. Using the proper number of significant figures, what is the answer?
A. 5800 meter-seconds
B. 6000 meter-seconds
C. 5840.0 meter-seconds
D. 5840.000000000000 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

An analytical balance with a precision of +/- 100 grams measures a mass of 284700 grams and a measuring tape with a precision of +/- 0.2 meters reads 59.1 meters when measuring a distance. You divide the former value by the latter with a computer and get the solution 4817.258883248731. How can we write this solution to the right level of precision?
A. 4820 grams/meter
B. 4817.258883248731 grams/meter
C. 4800 grams/meter
D. 4817.259 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 rangefinder with a precision of +/- 4 meters measures a distance of 1734 meters and a caliper with a precision of +/- 0.02 meters measures a distance between two different points as 69.94 meters. Using a calculator, you divide the first value by the second value and get the output 24.792679439520. If we express this output properly with respect to the number of significant figures, what is the answer?
A. 24
B. 24.79
C. 24.792679439520
D. 24.7927
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 +/- 200 meters takes a measurement of 4400 meters, and a measuring rod with a precision of +/- 0.003 meters reads 0.069 meters when measuring a distance between two different points. Using a calculator, you divide the former value by the latter and get the output 63768.115942028986. When this output is written to the appropriate level of precision, what do we get?
A. 63768.115942028986
B. 63700
C. 64000
D. 63768.12
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 78.6 meters and a Biltmore stick with a precision of +/- 0.04 meters reads 7.73 meters when measuring a distance between two different points. Your calculator app gives the solution 607.578000000000 when multiplying the first number by the second number. Using the suitable number of significant figures, what is the result?
A. 607.6 meters^2
B. 607.578 meters^2
C. 608 meters^2
D. 607.578000000000 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 ruler with a precision of +/- 0.004 meters measures a distance of 4.835 meters and a Biltmore stick with a precision of +/- 0.02 meters measures a distance between two different points as 57.41 meters. Using a calculator, you divide the former value by the latter and get the output 0.084218777217. When this output is written to the proper level of precision, what do we get?
A. 0.084218777217
B. 0.08422
C. 0.08
D. 0.0842
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A stopwatch with a precision of +/- 0.03 seconds takes a measurement of 0.02 seconds, and a storage container with a precision of +/- 10 liters measures a volume as 9700 liters. Using a calculator app, you multiply the two numbers and get the solution 194.000000000000. If we round this solution to the appropriate number of significant figures, what is the result?
A. 190 liter-seconds
B. 194.0 liter-seconds
C. 194.000000000000 liter-seconds
D. 200 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 stadimeter with a precision of +/- 40 meters measures a distance of 620 meters and a spring scale with a precision of +/- 0.0004 grams measures a mass as 0.0654 grams. You multiply the former number by the latter with a calculator and get the solution 40.548000000000. How would this result look if we wrote it with the right number of significant figures?
A. 40.548000000000 gram-meters
B. 40 gram-meters
C. 40.55 gram-meters
D. 41 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 21200 meters, and a spring scale with a precision of +/- 0.002 grams reads 0.011 grams when measuring a mass. After dividing the former value by the latter your computer yields the output 1927272.727272727273. How can we round this output to the right number of significant figures?
A. 1927272.727272727273 meters/gram
B. 1900000 meters/gram
C. 1927200 meters/gram
D. 1927272.73 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 stadimeter with a precision of +/- 4 meters takes a measurement of 295 meters, and an analytical balance with a precision of +/- 0.4 grams measures a mass as 0.7 grams. Using a calculator, you multiply the two values and get the output 206.500000000000. How can we express this output to the appropriate number of significant figures?
A. 200 gram-meters
B. 206.5 gram-meters
C. 206 gram-meters
D. 206.500000000000 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 meter stick with a precision of +/- 0.0004 meters measures a distance of 0.0936 meters and a radar-based method with a precision of +/- 2 meters reads 243 meters when measuring a distance between two different points. Your calculator produces the solution 22.744800000000 when multiplying the two numbers. Report this solution using the suitable level of precision.
A. 22.744800000000 meters^2
B. 22.745 meters^2
C. 22.7 meters^2
D. 22 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 radar-based method with a precision of +/- 3 meters takes a measurement of 13 meters, and a measuring flask with a precision of +/- 0.004 liters measures a volume as 0.004 liters. After dividing the former number by the latter your calculator gets the solution 3250.000000000000. Round this solution using the suitable level of precision.
A. 3250.0 meters/liter
B. 3250.000000000000 meters/liter
C. 3000 meters/liter
D. 3250 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 stopwatch with a precision of +/- 0.4 seconds measures a duration of 644.0 seconds and a balance with a precision of +/- 0.03 grams measures a mass as 60.59 grams. Your calculator app gets the solution 39019.960000000000 when multiplying the numbers. How would this result look if we rounded it with the right number of significant figures?
A. 39019.9600 gram-seconds
B. 39020 gram-seconds
C. 39020.0 gram-seconds
D. 39019.960000000000 gram-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A storage container with a precision of +/- 3 liters takes a measurement of 883 liters, and a timer with a precision of +/- 0.3 seconds measures a duration as 702.1 seconds. You multiply the values with a calculator app and get the solution 619954.300000000000. If we express this solution appropriately with respect to the level of precision, what is the result?
A. 619954.300000000000 liter-seconds
B. 620000 liter-seconds
C. 619954 liter-seconds
D. 619954.300 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 tape with a precision of +/- 0.2 meters takes a measurement of 103.0 meters, and a spring scale with a precision of +/- 10 grams measures a mass as 5470 grams. After multiplying the two numbers your computer gets the output 563410.000000000000. How can we report this output to the proper number of significant figures?
A. 563000 gram-meters
B. 563410.000000000000 gram-meters
C. 563410.000 gram-meters
D. 563410 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 balance with a precision of +/- 200 grams measures a mass of 81300 grams and a graduated cylinder with a precision of +/- 0.001 liters reads 0.069 liters when measuring a volume. You divide the former number by the latter with a computer and get the output 1178260.869565217391. Express this output using the right level of precision.
A. 1178260.87 grams/liter
B. 1178260.869565217391 grams/liter
C. 1178200 grams/liter
D. 1200000 grams/liter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A hydraulic scale with a precision of +/- 0.01 grams takes a measurement of 0.25 grams, and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 0.009 liters. You divide the former number by the latter with a calculator app and get the output 27.777777777778. Write this output using the proper level of precision.
A. 30 grams/liter
B. 27.78 grams/liter
C. 27.777777777778 grams/liter
D. 27.8 grams/liter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A storage container with a precision of +/- 10 liters takes a measurement of 20 liters, and an opisometer with a precision of +/- 0.001 meters measures a distance as 0.007 meters. Your calculator app produces the output 2857.142857142857 when dividing the first number by the second number. Using the right number of significant figures, what is the answer?
A. 2850 liters/meter
B. 2857.1 liters/meter
C. 3000 liters/meter
D. 2857.142857142857 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 +/- 0.1 meters takes a measurement of 2.7 meters, and a Biltmore stick with a precision of +/- 0.1 meters measures a distance between two different points as 5.5 meters. You multiply the former number by the latter with a computer and get the output 14.850000000000. How would this result look if we wrote it with the appropriate level of precision?
A. 14.85 meters^2
B. 14.850000000000 meters^2
C. 15 meters^2
D. 14.8 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 rangefinder with a precision of +/- 0.004 meters takes a measurement of 8.069 meters, and a chronograph with a precision of +/- 0.1 seconds measures a duration as 23.0 seconds. After multiplying the two numbers your computer yields the solution 185.587000000000. How would this answer look if we expressed it with the right level of precision?
A. 185.587000000000 meter-seconds
B. 185.587 meter-seconds
C. 186 meter-seconds
D. 185.6 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 rangefinder with a precision of +/- 0.0003 meters measures a distance of 0.7569 meters and a stadimeter with a precision of +/- 40 meters measures a distance between two different points as 23300 meters. Using a computer, you multiply the two numbers and get the output 17635.770000000000. If we report this output to the right number of significant figures, what is the answer?
A. 17640 meters^2
B. 17635.770000000000 meters^2
C. 17630 meters^2
D. 17635.7700 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 cathetometer with a precision of +/- 0.0003 meters takes a measurement of 0.0899 meters, and a cathetometer with a precision of +/- 0.0003 meters reads 0.0815 meters when measuring a distance between two different points. You divide the numbers with a calculator and get the output 1.103067484663. If we write this output suitably with respect to the level of precision, what is the answer?
A. 1.10
B. 1.103067484663
C. 1.1031
D. 1.103
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 +/- 20 grams measures a mass of 8930 grams and a ruler with a precision of +/- 0.0001 meters measures a distance as 0.0015 meters. Your computer gets the output 13.395000000000 when multiplying the values. If we write this output to the proper level of precision, what is the result?
A. 13.395000000000 gram-meters
B. 13.40 gram-meters
C. 10 gram-meters
D. 13 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 +/- 1 meters measures a distance of 71 meters and a meter stick with a precision of +/- 0.0001 meters reads 0.0824 meters when measuring a distance between two different points. Using a computer, you divide the former value by the latter and get the solution 861.650485436893. When this solution is expressed to the suitable number of significant figures, what do we get?
A. 861.65
B. 860
C. 861
D. 861.650485436893
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A storage container with a precision of +/- 0.3 liters takes a measurement of 59.8 liters, and a radar-based method with a precision of +/- 1 meters reads 40 meters when measuring a distance. You multiply the two values with a calculator app and get the solution 2392.000000000000. Using the proper number of significant figures, what is the answer?
A. 2392.000000000000 liter-meters
B. 2392.00 liter-meters
C. 2392 liter-meters
D. 2400 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 spring scale with a precision of +/- 0.4 grams takes a measurement of 4.7 grams, and a spring scale with a precision of +/- 200 grams measures a mass of a different object as 300 grams. Your calculator app yields the output 1410.000000000000 when multiplying the two numbers. If we express this output appropriately with respect to the number of significant figures, what is the result?
A. 1400 grams^2
B. 1410.000000000000 grams^2
C. 1410.0 grams^2
D. 1000 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 biltmore stick with a precision of +/- 0.04 meters takes a measurement of 0.04 meters, and a spring scale with a precision of +/- 0.02 grams reads 64.03 grams when measuring a mass. You multiply the first number by the second number with a calculator app and get the output 2.561200000000. If we express this output to the appropriate number of significant figures, what is the result?
A. 2.6 gram-meters
B. 2.561200000000 gram-meters
C. 3 gram-meters
D. 2.56 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 radar-based method with a precision of +/- 30 meters measures a distance of 64850 meters and a stopwatch with a precision of +/- 0.03 seconds measures a duration as 0.06 seconds. You divide the former number by the latter with a computer and get the solution 1080833.333333333333. If we write this solution to the correct level of precision, what is the answer?
A. 1080833.333333333333 meters/second
B. 1080830 meters/second
C. 1080833.3 meters/second
D. 1000000 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 balance with a precision of +/- 0.3 grams measures a mass of 44.3 grams and a measuring stick with a precision of +/- 0.02 meters reads 0.10 meters when measuring a distance. You divide the first value by the second value with a calculator app and get the solution 443.000000000000. If we report this solution to the right level of precision, what is the answer?
A. 443.000000000000 grams/meter
B. 443.0 grams/meter
C. 440 grams/meter
D. 443.00 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 storage container with a precision of +/- 2 liters takes a measurement of 322 liters, and an opisometer with a precision of +/- 0.01 meters reads 4.36 meters when measuring a distance. Your computer gets the output 73.853211009174 when dividing the former number by the latter. Report this output using the correct number of significant figures.
A. 73.853 liters/meter
B. 73.9 liters/meter
C. 73.853211009174 liters/meter
D. 73 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).
---

An odometer with a precision of +/- 200 meters takes a measurement of 70500 meters, and a Biltmore stick with a precision of +/- 0.01 meters measures a distance between two different points as 3.31 meters. Your calculator gets the output 21299.093655589124 when dividing the first number by the second number. How would this answer look if we rounded it with the suitable level of precision?
A. 21200
B. 21299.093655589124
C. 21300
D. 21299.094
Answer: