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 +/- 30 meters takes a measurement of 3240 meters, and a stopwatch with a precision of +/- 0.004 seconds measures a duration as 9.068 seconds. After multiplying the former number by the latter your calculator gets the solution 29380.320000000000. How would this result look if we reported it with the appropriate level of precision?
A. 29380 meter-seconds
B. 29400 meter-seconds
C. 29380.320000000000 meter-seconds
D. 29380.320 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 +/- 0.0001 grams takes a measurement of 0.0476 grams, and an odometer with a precision of +/- 3000 meters measures a distance as 5796000 meters. You multiply the values with a computer and get the solution 275889.600000000000. How can we round this solution to the proper number of significant figures?
A. 275889.600 gram-meters
B. 276000 gram-meters
C. 275000 gram-meters
D. 275889.600000000000 gram-meters
Answer:


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

A stopwatch with a precision of +/- 0.01 seconds measures a duration of 22.85 seconds and a spring scale with a precision of +/- 0.4 grams reads 809.3 grams when measuring a mass. You multiply the numbers with a calculator app and get the solution 18492.505000000000. If we write this solution properly with respect to the level of precision, what is the result?
A. 18490 gram-seconds
B. 18492.5 gram-seconds
C. 18492.5050 gram-seconds
D. 18492.505000000000 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 coincidence telemeter with a precision of +/- 20 meters takes a measurement of 40 meters, and a radar-based method with a precision of +/- 10 meters reads 51200 meters when measuring a distance between two different points. After multiplying the two values your calculator app yields the solution 2048000.000000000000. How can we round this solution to the correct number of significant figures?
A. 2000000 meters^2
B. 2048000.0 meters^2
C. 2048000 meters^2
D. 2048000.000000000000 meters^2
Answer:


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

A meter stick with a precision of +/- 0.0003 meters measures a distance of 0.0084 meters and a cathetometer with a precision of +/- 0.00003 meters measures a distance between two different points as 0.00006 meters. You divide the former value by the latter with a calculator app and get the output 140.000000000000. When this output is expressed to the appropriate number of significant figures, what do we get?
A. 140.0
B. 140.0000
C. 100
D. 140.000000000000
Answer:


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

A rangefinder with a precision of +/- 4 meters takes a measurement of 666 meters, and a ruler with a precision of +/- 0.0004 meters reads 0.8223 meters when measuring a distance between two different points. Using a calculator, you multiply the first value by the second value and get the output 547.651800000000. Using the suitable number of significant figures, what is the result?
A. 548 meters^2
B. 547 meters^2
C. 547.652 meters^2
D. 547.651800000000 meters^2
Answer:


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

An analytical balance with a precision of +/- 20 grams takes a measurement of 900 grams, and a coincidence telemeter with a precision of +/- 10 meters reads 90 meters when measuring a distance. Your calculator app produces the solution 81000.000000000000 when multiplying the first number by the second number. How can we write this solution to the suitable level of precision?
A. 81000.0 gram-meters
B. 81000.000000000000 gram-meters
C. 81000 gram-meters
D. 80000 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 biltmore stick with a precision of +/- 0.04 meters measures a distance of 70.88 meters and a spring scale with a precision of +/- 3 grams reads 2 grams when measuring a mass. After dividing the former number by the latter your calculator gives the output 35.440000000000. How would this answer look if we expressed it with the correct level of precision?
A. 35 meters/gram
B. 35.4 meters/gram
C. 40 meters/gram
D. 35.440000000000 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 +/- 40 meters takes a measurement of 10 meters, and a stopwatch with a precision of +/- 0.03 seconds reads 81.71 seconds when measuring a duration. After multiplying the two numbers your computer gets the solution 817.100000000000. How would this answer look if we reported it with the suitable number of significant figures?
A. 810 meter-seconds
B. 800 meter-seconds
C. 817.100000000000 meter-seconds
D. 817.1 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 +/- 40 grams measures a mass of 69010 grams and a storage container with a precision of +/- 1 liters measures a volume as 2 liters. Your computer gets the solution 34505.000000000000 when dividing the former value by the latter. Using the proper level of precision, what is the answer?
A. 34505.000000000000 grams/liter
B. 30000 grams/liter
C. 34500 grams/liter
D. 34505.0 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 ruler with a precision of +/- 0.0001 meters takes a measurement of 0.0522 meters, and a measuring tape with a precision of +/- 0.2 meters reads 61.9 meters when measuring a distance between two different points. Using a calculator, you multiply the numbers and get the output 3.231180000000. How can we report this output to the appropriate level of precision?
A. 3.231180000000 meters^2
B. 3.2 meters^2
C. 3.231 meters^2
D. 3.23 meters^2
Answer:


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

A stopwatch with a precision of +/- 0.04 seconds takes a measurement of 0.15 seconds, and a measuring stick with a precision of +/- 0.001 meters measures a distance as 0.003 meters. Using a computer, you divide the two numbers and get the output 50.000000000000. How would this result look if we wrote it with the right number of significant figures?
A. 50.000000000000 seconds/meter
B. 50 seconds/meter
C. 50.0 seconds/meter
D. 50.00 seconds/meter
Answer:


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

A radar-based method with a precision of +/- 3 meters measures a distance of 206 meters and a meter stick with a precision of +/- 0.0002 meters measures a distance between two different points as 0.1121 meters. You divide the two numbers with a computer and get the output 1837.644959857270. If we round this output to the suitable number of significant figures, what is the result?
A. 1837.645
B. 1837
C. 1840
D. 1837.644959857270
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 +/- 3 meters measures a distance of 6 meters and an opisometer with a precision of +/- 4 meters reads 2 meters when measuring a distance between two different points. You multiply the former value by the latter with a calculator app and get the output 12.000000000000. When this output is expressed to the suitable level of precision, what do we get?
A. 12.0 meters^2
B. 12.000000000000 meters^2
C. 12 meters^2
D. 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 radar-based method with a precision of +/- 10 meters measures a distance of 4740 meters and a cathetometer with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0062 meters. Using a calculator, you multiply the former value by the latter and get the output 29.388000000000. How can we report this output to the proper level of precision?
A. 29 meters^2
B. 29.39 meters^2
C. 29.388000000000 meters^2
D. 20 meters^2
Answer:


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

A stopwatch with a precision of +/- 0.02 seconds measures a duration of 1.27 seconds and a measuring tape with a precision of +/- 0.4 meters reads 762.3 meters when measuring a distance. You multiply the former number by the latter with a calculator app and get the solution 968.121000000000. Using the right level of precision, what is the answer?
A. 968.121 meter-seconds
B. 968.121000000000 meter-seconds
C. 968 meter-seconds
D. 968.1 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 +/- 0.001 meters takes a measurement of 4.619 meters, and a Biltmore stick with a precision of +/- 0.03 meters measures a distance between two different points as 2.83 meters. Your calculator gets the solution 13.071770000000 when multiplying the values. Using the appropriate level of precision, what is the result?
A. 13.071770000000 meters^2
B. 13.07 meters^2
C. 13.072 meters^2
D. 13.1 meters^2
Answer:


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

An analytical balance with a precision of +/- 0.4 grams takes a measurement of 235.9 grams, and a stopwatch with a precision of +/- 0.1 seconds reads 563.2 seconds when measuring a duration. Using a calculator app, you multiply the values and get the output 132858.880000000000. Round this output using the correct number of significant figures.
A. 132858.8800 gram-seconds
B. 132858.9 gram-seconds
C. 132900 gram-seconds
D. 132858.880000000000 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 +/- 30 liters takes a measurement of 770 liters, and a coincidence telemeter with a precision of +/- 0.2 meters reads 0.7 meters when measuring a distance. Your calculator gets the solution 539.000000000000 when multiplying the former number by the latter. How would this answer look if we rounded it with the correct level of precision?
A. 530 liter-meters
B. 500 liter-meters
C. 539.000000000000 liter-meters
D. 539.0 liter-meters
Answer:


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

A measuring flask with a precision of +/- 0.01 liters takes a measurement of 7.95 liters, and a timer with a precision of +/- 0.4 seconds measures a duration as 730.4 seconds. Using a calculator, you multiply the two values and get the output 5806.680000000000. How can we round this output to the proper level of precision?
A. 5810 liter-seconds
B. 5806.7 liter-seconds
C. 5806.680000000000 liter-seconds
D. 5806.680 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 caliper with a precision of +/- 0.003 meters measures a distance of 0.010 meters and a measuring stick with a precision of +/- 0.003 meters measures a distance between two different points as 0.002 meters. Your calculator produces the output 5.000000000000 when dividing the numbers. Report this output using the right number of significant figures.
A. 5.000000000000
B. 5.000
C. 5.0
D. 5
Answer:


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

A measuring stick with a precision of +/- 0.003 meters takes a measurement of 0.802 meters, and a radar-based method with a precision of +/- 2 meters reads 2 meters when measuring a distance between two different points. Using a calculator, you multiply the two numbers and get the output 1.604000000000. When this output is reported to the appropriate level of precision, what do we get?
A. 1.604000000000 meters^2
B. 1.6 meters^2
C. 2 meters^2
D. 1 meters^2
Answer:


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

A storage container with a precision of +/- 1 liters takes a measurement of 3299 liters, and an opisometer with a precision of +/- 0.0002 meters reads 0.4252 meters when measuring a distance. Your calculator app yields the output 1402.734800000000 when multiplying the former value by the latter. How can we report this output to the appropriate number of significant figures?
A. 1403 liter-meters
B. 1402.734800000000 liter-meters
C. 1402 liter-meters
D. 1402.7348 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 +/- 0.001 grams measures a mass of 0.010 grams and a measuring tape with a precision of +/- 0.1 meters reads 5.1 meters when measuring a distance. Using a computer, you multiply the values and get the solution 0.051000000000. If we report this solution to the proper number of significant figures, what is the answer?
A. 0.051000000000 gram-meters
B. 0.05 gram-meters
C. 0.051 gram-meters
D. 0.1 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 +/- 200 meters measures a distance of 81900 meters and a measuring flask with a precision of +/- 0.002 liters measures a volume as 0.707 liters. After dividing the two values your computer yields the output 115841.584158415842. If we round this output appropriately with respect to the number of significant figures, what is the result?
A. 115841.584158415842 meters/liter
B. 115800 meters/liter
C. 115841.584 meters/liter
D. 116000 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 biltmore stick with a precision of +/- 0.04 meters takes a measurement of 86.36 meters, and a radar-based method with a precision of +/- 1 meters reads 5 meters when measuring a distance between two different points. Using a calculator app, you multiply the first value by the second value and get the output 431.800000000000. How would this answer look if we wrote it with the proper level of precision?
A. 431 meters^2
B. 431.800000000000 meters^2
C. 400 meters^2
D. 431.8 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 balance with a precision of +/- 0.0003 grams takes a measurement of 0.0053 grams, and a graduated cylinder with a precision of +/- 0.003 liters measures a volume as 0.590 liters. You divide the first value by the second value with a calculator app and get the output 0.008983050847. How can we express this output to the appropriate number of significant figures?
A. 0.008983050847 grams/liter
B. 0.009 grams/liter
C. 0.0090 grams/liter
D. 0.01 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 +/- 4 liters measures a volume of 566 liters and a measuring tape with a precision of +/- 0.03 meters reads 28.01 meters when measuring a distance. Your computer gets the solution 15853.660000000000 when multiplying the first number by the second number. When this solution is written to the suitable level of precision, what do we get?
A. 15853.660000000000 liter-meters
B. 15853 liter-meters
C. 15853.660 liter-meters
D. 15900 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 +/- 0.02 meters takes a measurement of 9.84 meters, and a measuring rod with a precision of +/- 0.003 meters reads 0.003 meters when measuring a distance between two different points. You divide the former value by the latter with a calculator and get the output 3280.000000000000. If we write this output suitably with respect to the number of significant figures, what is the answer?
A. 3000
B. 3280.0
C. 3280.000000000000
D. 3280.00
Answer:


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

A measuring flask with a precision of +/- 0.001 liters measures a volume of 0.010 liters and a chronometer with a precision of +/- 0.0002 seconds measures a duration as 0.0010 seconds. Your calculator app gets the solution 10.000000000000 when dividing the former number by the latter. How would this result look if we expressed it with the right level of precision?
A. 10 liters/second
B. 10.000000000000 liters/second
C. 10.000 liters/second
D. 10.00 liters/second
Answer:


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

A storage container with a precision of +/- 4 liters measures a volume of 61 liters and a chronometer with a precision of +/- 0.0004 seconds measures a duration as 0.0540 seconds. Your calculator gives the output 3.294000000000 when multiplying the two values. Using the correct number of significant figures, what is the answer?
A. 3.294000000000 liter-seconds
B. 3.3 liter-seconds
C. 3 liter-seconds
D. 3.29 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 chronograph with a precision of +/- 0.002 seconds measures a duration of 0.072 seconds and a storage container with a precision of +/- 1 liters reads 26 liters when measuring a volume. After multiplying the numbers your calculator app gives the solution 1.872000000000. When this solution is reported to the appropriate number of significant figures, what do we get?
A. 1.9 liter-seconds
B. 1.87 liter-seconds
C. 1 liter-seconds
D. 1.872000000000 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 clickwheel with a precision of +/- 0.002 meters takes a measurement of 0.097 meters, and an opisometer with a precision of +/- 3 meters reads 698 meters when measuring a distance between two different points. After multiplying the first value by the second value your computer produces the solution 67.706000000000. How can we express this solution to the proper level of precision?
A. 68 meters^2
B. 67.71 meters^2
C. 67.706000000000 meters^2
D. 67 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 +/- 0.4 meters measures a distance of 1.6 meters and a measuring rod with a precision of +/- 0.004 meters measures a distance between two different points as 0.035 meters. You divide the values with a calculator and get the solution 45.714285714286. How can we write this solution to the suitable number of significant figures?
A. 45.7
B. 45.71
C. 45.714285714286
D. 46
Answer:


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

A caliper with a precision of +/- 0.002 meters takes a measurement of 2.084 meters, and a measuring flask with a precision of +/- 0.03 liters measures a volume as 0.07 liters. Using a calculator app, you divide the former number by the latter and get the output 29.771428571429. If we report this output to the appropriate level of precision, what is the answer?
A. 29.8 meters/liter
B. 30 meters/liter
C. 29.771428571429 meters/liter
D. 29.77 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 caliper with a precision of +/- 0.02 meters measures a distance of 6.10 meters and a stopwatch with a precision of +/- 0.001 seconds reads 0.366 seconds when measuring a duration. Your computer yields the output 16.666666666667 when dividing the two values. How can we round this output to the right number of significant figures?
A. 16.7 meters/second
B. 16.666666666667 meters/second
C. 16.67 meters/second
D. 16.667 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 hydraulic scale with a precision of +/- 40 grams takes a measurement of 11190 grams, and an opisometer with a precision of +/- 1 meters reads 944 meters when measuring a distance. You divide the first number by the second number with a computer and get the solution 11.853813559322. Using the suitable number of significant figures, what is the result?
A. 11.854 grams/meter
B. 10 grams/meter
C. 11.853813559322 grams/meter
D. 11.9 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).
---

A timer with a precision of +/- 0.004 seconds measures a duration of 0.383 seconds and a storage container with a precision of +/- 0.1 liters measures a volume as 436.7 liters. Your calculator app produces the solution 167.256100000000 when multiplying the first value by the second value. Using the appropriate number of significant figures, what is the result?
A. 167.3 liter-seconds
B. 167 liter-seconds
C. 167.256 liter-seconds
D. 167.256100000000 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 meter stick with a precision of +/- 0.0003 meters takes a measurement of 0.2626 meters, and a coincidence telemeter with a precision of +/- 30 meters measures a distance between two different points as 9810 meters. Your calculator app gives the output 2576.106000000000 when multiplying the two values. How can we write this output to the right level of precision?
A. 2570 meters^2
B. 2576.106000000000 meters^2
C. 2576.106 meters^2
D. 2580 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 +/- 3 meters measures a distance of 7513 meters and a hydraulic scale with a precision of +/- 0.0004 grams measures a mass as 0.0101 grams. Using a calculator, you divide the former number by the latter and get the solution 743861.386138613861. How can we report this solution to the appropriate level of precision?
A. 744000 meters/gram
B. 743861.386 meters/gram
C. 743861 meters/gram
D. 743861.386138613861 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 opisometer with a precision of +/- 0.1 meters measures a distance of 22.9 meters and a clickwheel with a precision of +/- 0.002 meters measures a distance between two different points as 0.010 meters. After dividing the former number by the latter your calculator produces the output 2290.000000000000. Write this output using the suitable level of precision.
A. 2300
B. 2290.000000000000
C. 2290.0
D. 2290.00
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 +/- 0.001 seconds takes a measurement of 0.060 seconds, and a ruler with a precision of +/- 0.003 meters reads 0.018 meters when measuring a distance. After dividing the first number by the second number your calculator app yields the solution 3.333333333333. If we write this solution appropriately with respect to the level of precision, what is the answer?
A. 3.33 seconds/meter
B. 3.3 seconds/meter
C. 3.333 seconds/meter
D. 3.333333333333 seconds/meter
Answer:


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

A stopwatch with a precision of +/- 0.4 seconds takes a measurement of 1.0 seconds, and a timer with a precision of +/- 0.1 seconds reads 254.2 seconds when measuring a duration of a different event. After multiplying the values your calculator gives the solution 254.200000000000. If we express this solution to the correct number of significant figures, what is the answer?
A. 254.20 seconds^2
B. 250 seconds^2
C. 254.200000000000 seconds^2
D. 254.2 seconds^2
Answer:


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

A balance with a precision of +/- 0.0003 grams measures a mass of 0.0029 grams and a measuring rod with a precision of +/- 0.0001 meters reads 0.0004 meters when measuring a distance. You divide the former value by the latter with a calculator and get the output 7.250000000000. When this output is reported to the correct level of precision, what do we get?
A. 7.2500 grams/meter
B. 7.2 grams/meter
C. 7 grams/meter
D. 7.250000000000 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 spring scale with a precision of +/- 200 grams measures a mass of 800 grams and a timer with a precision of +/- 0.002 seconds reads 0.437 seconds when measuring a duration. You divide the two numbers with a calculator app and get the solution 1830.663615560641. Write this solution using the suitable number of significant figures.
A. 1830.7 grams/second
B. 1800 grams/second
C. 2000 grams/second
D. 1830.663615560641 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 measuring rod with a precision of +/- 0.002 meters takes a measurement of 1.410 meters, and a spring scale with a precision of +/- 0.001 grams measures a mass as 0.081 grams. Your computer gives the solution 17.407407407407 when dividing the two numbers. How can we report this solution to the appropriate number of significant figures?
A. 17.407407407407 meters/gram
B. 17.41 meters/gram
C. 17 meters/gram
D. 17.407 meters/gram
Answer:


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

A measuring flask with a precision of +/- 0.001 liters measures a volume of 0.229 liters and a measuring stick with a precision of +/- 0.02 meters reads 2.70 meters when measuring a distance. After dividing the numbers your computer produces the output 0.084814814815. How would this result look if we wrote it with the right number of significant figures?
A. 0.084814814815 liters/meter
B. 0.0848 liters/meter
C. 0.085 liters/meter
D. 0.08 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 stadimeter with a precision of +/- 0.2 meters measures a distance of 8.5 meters and a spring scale with a precision of +/- 4000 grams measures a mass as 577000 grams. Your computer gets the output 4904500.000000000000 when multiplying the two values. When this output is rounded to the correct level of precision, what do we get?
A. 4900000 gram-meters
B. 4904500.00 gram-meters
C. 4904000 gram-meters
D. 4904500.000000000000 gram-meters
Answer:


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

A stopwatch with a precision of +/- 0.4 seconds measures a duration of 6.6 seconds and a tape measure with a precision of +/- 0.0002 meters measures a distance as 0.0015 meters. Your computer gives the output 4400.000000000000 when dividing the first value by the second value. How can we write this output to the proper level of precision?
A. 4400.000000000000 seconds/meter
B. 4400 seconds/meter
C. 4400.00 seconds/meter
D. 4400.0 seconds/meter
Answer:


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

A measuring rod with a precision of +/- 0.04 meters takes a measurement of 5.30 meters, and a coincidence telemeter with a precision of +/- 30 meters measures a distance between two different points as 50 meters. Using a calculator, you multiply the first value by the second value and get the solution 265.000000000000. How would this result look if we expressed it with the right number of significant figures?
A. 265.000000000000 meters^2
B. 260 meters^2
C. 300 meters^2
D. 265.0 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 +/- 30 meters takes a measurement of 58530 meters, and a timer with a precision of +/- 0.003 seconds measures a duration as 0.097 seconds. You multiply the former value by the latter with a computer and get the output 5677.410000000000. If we round this output to the appropriate number of significant figures, what is the result?
A. 5677.410000000000 meter-seconds
B. 5677.41 meter-seconds
C. 5670 meter-seconds
D. 5700 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 +/- 100 meters measures a distance of 18200 meters and an analytical balance with a precision of +/- 300 grams reads 4100 grams when measuring a mass. After multiplying the first number by the second number your calculator gives the solution 74620000.000000000000. Round this solution using the suitable level of precision.
A. 74620000 gram-meters
B. 75000000 gram-meters
C. 74620000.000000000000 gram-meters
D. 74620000.00 gram-meters
Answer:


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

A timer with a precision of +/- 0.004 seconds measures a duration of 0.595 seconds and a meter stick with a precision of +/- 0.0002 meters reads 0.0008 meters when measuring a distance. After dividing the two numbers your computer gets the output 743.750000000000. Using the proper level of precision, what is the answer?
A. 743.750 seconds/meter
B. 743.8 seconds/meter
C. 700 seconds/meter
D. 743.750000000000 seconds/meter
Answer:


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

An odometer with a precision of +/- 2000 meters measures a distance of 711000 meters and a measuring stick with a precision of +/- 0.1 meters reads 72.1 meters when measuring a distance between two different points. After multiplying the two values your computer gives the solution 51263100.000000000000. Using the correct number of significant figures, what is the answer?
A. 51263100.000000000000 meters^2
B. 51263000 meters^2
C. 51263100.000 meters^2
D. 51300000 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 +/- 400 meters takes a measurement of 853100 meters, and a caliper with a precision of +/- 0.01 meters reads 0.60 meters when measuring a distance between two different points. Using a calculator app, you divide the two numbers and get the solution 1421833.333333333333. When this solution is written to the appropriate number of significant figures, what do we get?
A. 1421800
B. 1421833.333333333333
C. 1421833.33
D. 1400000
Answer:


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

A clickwheel with a precision of +/- 0.004 meters takes a measurement of 7.972 meters, and a caliper with a precision of +/- 0.04 meters measures a distance between two different points as 6.99 meters. Using a computer, you multiply the first value by the second value and get the output 55.724280000000. When this output is rounded to the proper level of precision, what do we get?
A. 55.7 meters^2
B. 55.724280000000 meters^2
C. 55.72 meters^2
D. 55.724 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 +/- 0.0002 meters takes a measurement of 0.2838 meters, and a rangefinder with a precision of +/- 2 meters measures a distance between two different points as 10 meters. Your calculator app produces the output 2.838000000000 when multiplying the values. When this output is reported to the appropriate number of significant figures, what do we get?
A. 2.8 meters^2
B. 2 meters^2
C. 2.838000000000 meters^2
D. 2.84 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 273.8 meters, and a caliper with a precision of +/- 0.001 meters reads 0.050 meters when measuring a distance between two different points. Your calculator produces the solution 5476.000000000000 when dividing the two values. If we express this solution to the correct level of precision, what is the answer?
A. 5500
B. 5476.000000000000
C. 5476.00
D. 5476.0
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 +/- 0.004 seconds measures a duration of 0.319 seconds and a timer with a precision of +/- 0.002 seconds measures a duration of a different event as 0.069 seconds. Using a computer, you divide the two values and get the output 4.623188405797. How would this answer look if we expressed it with the right number of significant figures?
A. 4.6
B. 4.623188405797
C. 4.62
D. 4.623
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 +/- 0.04 seconds takes a measurement of 0.01 seconds, and a chronometer with a precision of +/- 0.0003 seconds reads 0.0015 seconds when measuring a duration of a different event. After dividing the first value by the second value your calculator gives the solution 6.666666666667. If we write this solution to the correct level of precision, what is the result?
A. 7
B. 6.666666666667
C. 6.7
D. 6.67
Answer:


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

A measuring flask with a precision of +/- 0.004 liters takes a measurement of 8.695 liters, and a measuring tape with a precision of +/- 0.4 meters reads 571.2 meters when measuring a distance. Your calculator app yields the solution 4966.584000000000 when multiplying the first number by the second number. How can we report this solution to the correct level of precision?
A. 4966.6 liter-meters
B. 4967 liter-meters
C. 4966.5840 liter-meters
D. 4966.584000000000 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 timer with a precision of +/- 0.002 seconds measures a duration of 0.027 seconds and a meter stick with a precision of +/- 0.0004 meters measures a distance as 0.0025 meters. Your computer gets the solution 10.800000000000 when dividing the first number by the second number. If we write this solution to the appropriate number of significant figures, what is the result?
A. 10.800 seconds/meter
B. 10.800000000000 seconds/meter
C. 10.80 seconds/meter
D. 11 seconds/meter
Answer:


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

An analytical balance with a precision of +/- 0.0001 grams takes a measurement of 0.0607 grams, and a meter stick with a precision of +/- 0.0002 meters reads 0.0706 meters when measuring a distance. Your calculator app gives the solution 0.004285420000 when multiplying the former number by the latter. How would this result look if we wrote it with the correct number of significant figures?
A. 0.00429 gram-meters
B. 0.004285420000 gram-meters
C. 0.0043 gram-meters
D. 0.004 gram-meters
Answer:


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

A stopwatch with a precision of +/- 0.004 seconds takes a measurement of 0.004 seconds, and a balance with a precision of +/- 0.0002 grams measures a mass as 0.0005 grams. Using a calculator, you divide the numbers and get the output 8.000000000000. Using the proper level of precision, what is the result?
A. 8.000000000000 seconds/gram
B. 8.0 seconds/gram
C. 8 seconds/gram
D. 8.000 seconds/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 tape measure with a precision of +/- 0.001 meters takes a measurement of 6.453 meters, and a cathetometer with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0010 meters. Using a calculator app, you divide the first value by the second value and get the solution 6453.000000000000. How can we write this solution to the appropriate level of precision?
A. 6453.00
B. 6453.000000000000
C. 6453.000
D. 6500
Answer:


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

An opisometer with a precision of +/- 0.02 meters measures a distance of 8.39 meters and a radar-based method with a precision of +/- 3 meters reads 25 meters when measuring a distance between two different points. After multiplying the two numbers your computer gives the output 209.750000000000. How would this answer look if we rounded it with the proper level of precision?
A. 209.750000000000 meters^2
B. 209.75 meters^2
C. 209 meters^2
D. 210 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 +/- 400 meters takes a measurement of 320700 meters, and a Biltmore stick with a precision of +/- 0.01 meters reads 0.07 meters when measuring a distance between two different points. After multiplying the first number by the second number your calculator app yields the output 22449.000000000000. How would this answer look if we expressed it with the proper level of precision?
A. 22400 meters^2
B. 22449.0 meters^2
C. 20000 meters^2
D. 22449.000000000000 meters^2
Answer:


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

A meter stick with a precision of +/- 0.0004 meters takes a measurement of 0.0535 meters, and a stopwatch with a precision of +/- 0.002 seconds measures a duration as 0.006 seconds. Your computer gives the output 8.916666666667 when dividing the values. If we round this output suitably with respect to the level of precision, what is the result?
A. 8.917 meters/second
B. 8.916666666667 meters/second
C. 8.9 meters/second
D. 9 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 coincidence telemeter with a precision of +/- 100 meters takes a measurement of 272800 meters, and a measuring stick with a precision of +/- 0.01 meters measures a distance between two different points as 0.07 meters. After dividing the first value by the second value your calculator app yields the output 3897142.857142857143. If we write this output appropriately with respect to the level of precision, what is the result?
A. 4000000
B. 3897142.9
C. 3897142.857142857143
D. 3897100
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 chronometer with a precision of +/- 0.00004 seconds takes a measurement of 0.00766 seconds, and a rangefinder with a precision of +/- 0.0003 meters reads 0.0704 meters when measuring a distance. You multiply the values with a calculator app and get the solution 0.000539264000. When this solution is expressed to the correct level of precision, what do we get?
A. 0.0005 meter-seconds
B. 0.001 meter-seconds
C. 0.000539264000 meter-seconds
D. 0.000539 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 chronograph with a precision of +/- 0.3 seconds measures a duration of 112.9 seconds and a measuring flask with a precision of +/- 0.01 liters reads 0.61 liters when measuring a volume. You multiply the two values with a calculator and get the output 68.869000000000. Express this output using the suitable number of significant figures.
A. 68.869000000000 liter-seconds
B. 68.9 liter-seconds
C. 68.87 liter-seconds
D. 69 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 hydraulic scale with a precision of +/- 3 grams measures a mass of 538 grams and a stopwatch with a precision of +/- 0.1 seconds reads 683.3 seconds when measuring a duration. Your calculator gets the output 367615.400000000000 when multiplying the former number by the latter. Write this output using the suitable level of precision.
A. 367615.400000000000 gram-seconds
B. 368000 gram-seconds
C. 367615.400 gram-seconds
D. 367615 gram-seconds
Answer:


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

A timer with a precision of +/- 0.2 seconds measures a duration of 5.6 seconds and an analytical balance with a precision of +/- 0.02 grams reads 78.91 grams when measuring a mass. Your calculator yields the output 0.070966924344 when dividing the values. Round this output using the right level of precision.
A. 0.070966924344 seconds/gram
B. 0.07 seconds/gram
C. 0.1 seconds/gram
D. 0.071 seconds/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 opisometer with a precision of +/- 0.0002 meters takes a measurement of 0.0451 meters, and a meter stick with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0046 meters. Your calculator yields the solution 9.804347826087 when dividing the two numbers. How would this result look if we reported it with the suitable level of precision?
A. 9.804347826087
B. 9.8
C. 9.80
D. 9.8043
Answer:


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

A timer with a precision of +/- 0.02 seconds takes a measurement of 0.27 seconds, and a hydraulic scale with a precision of +/- 4 grams measures a mass as 3067 grams. After multiplying the former value by the latter your computer yields the output 828.090000000000. How can we round this output to the correct level of precision?
A. 828 gram-seconds
B. 830 gram-seconds
C. 828.09 gram-seconds
D. 828.090000000000 gram-seconds
Answer: