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

An odometer with a precision of +/- 400 meters measures a distance of 617200 meters and a meter stick with a precision of +/- 0.0003 meters reads 0.0065 meters when measuring a distance between two different points. After dividing the former number by the latter your calculator gets the solution 94953846.153846153846. How would this answer look if we rounded it with the proper level of precision?
A. 94953846.15
B. 94953800
C. 95000000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 100 grams takes a measurement of 782000 grams, and a ruler with a precision of +/- 0.004 meters measures a distance as 0.699 meters. Your calculator yields the solution 546618.000000000000 when multiplying the values. How can we report this solution to the appropriate number of significant figures?
A. 546600 gram-meters
B. 547000 gram-meters
C. 546618.000 gram-meters
Answer:


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

A hydraulic scale with a precision of +/- 1 grams takes a measurement of 7 grams, and a storage container with a precision of +/- 0.4 liters measures a volume as 85.9 liters. Your calculator app produces the solution 601.300000000000 when multiplying the first number by the second number. If we express this solution to the proper number of significant figures, what is the result?
A. 600 gram-liters
B. 601 gram-liters
C. 601.3 gram-liters
Answer:


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

A rangefinder with a precision of +/- 20 meters measures a distance of 67220 meters and a cathetometer with a precision of +/- 0.0003 meters reads 0.0001 meters when measuring a distance between two different points. You divide the first value by the second value with a calculator and get the solution 672200000.000000000000. If we express this solution appropriately with respect to the level of precision, what is the result?
A. 700000000
B. 672200000
C. 672200000.0
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 clickwheel with a precision of +/- 0.02 meters takes a measurement of 71.73 meters, and an analytical balance with a precision of +/- 200 grams reads 68600 grams when measuring a mass. You multiply the former number by the latter with a calculator and get the output 4920678.000000000000. When this output is reported to the correct level of precision, what do we get?
A. 4920000 gram-meters
B. 4920678.000 gram-meters
C. 4920600 gram-meters
Answer:


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

A storage container with a precision of +/- 0.2 liters measures a volume of 968.9 liters and a radar-based method with a precision of +/- 400 meters measures a distance as 30300 meters. You multiply the values with a calculator and get the output 29357670.000000000000. If we write this output to the right number of significant figures, what is the answer?
A. 29357600 liter-meters
B. 29357670.000 liter-meters
C. 29400000 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 chronograph with a precision of +/- 0.4 seconds takes a measurement of 681.3 seconds, and an odometer with a precision of +/- 100 meters measures a distance as 900 meters. You multiply the first number by the second number with a computer and get the output 613170.000000000000. How can we round this output to the appropriate level of precision?
A. 613100 meter-seconds
B. 613170.0 meter-seconds
C. 600000 meter-seconds
Answer:


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

A balance with a precision of +/- 0.0004 grams measures a mass of 0.8451 grams and a tape measure with a precision of +/- 0.002 meters measures a distance as 0.001 meters. Using a calculator, you divide the first value by the second value and get the solution 845.100000000000. How would this answer look if we reported it with the appropriate number of significant figures?
A. 800 grams/meter
B. 845.1 grams/meter
C. 845.100 grams/meter
Answer:


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

A biltmore stick with a precision of +/- 0.3 meters measures a distance of 28.7 meters and a balance with a precision of +/- 20 grams reads 50 grams when measuring a mass. Your calculator app yields the output 1435.000000000000 when multiplying the first number by the second number. Express this output using the correct level of precision.
A. 1000 gram-meters
B. 1435.0 gram-meters
C. 1430 gram-meters
Answer:


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

An odometer with a precision of +/- 4000 meters measures a distance of 906000 meters and a measuring flask with a precision of +/- 0.01 liters reads 0.10 liters when measuring a volume. You multiply the first value by the second value with a calculator app and get the solution 90600.000000000000. If we write this solution to the appropriate level of precision, what is the answer?
A. 90600.00 liter-meters
B. 91000 liter-meters
C. 90000 liter-meters
Answer:


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

A balance with a precision of +/- 10 grams takes a measurement of 10890 grams, and a cathetometer with a precision of +/- 0.0002 meters measures a distance as 0.0005 meters. You divide the two values with a calculator and get the output 21780000.000000000000. How can we express this output to the right level of precision?
A. 20000000 grams/meter
B. 21780000.0 grams/meter
C. 21780000 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 radar-based method with a precision of +/- 4 meters takes a measurement of 5227 meters, and a cathetometer with a precision of +/- 0.00002 meters reads 0.04719 meters when measuring a distance between two different points. Using a computer, you divide the two numbers and get the solution 110764.992583174401. When this solution is reported to the correct level of precision, what do we get?
A. 110764
B. 110800
C. 110764.9926
Answer:


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

A tape measure with a precision of +/- 0.0002 meters takes a measurement of 0.6456 meters, and a caliper with a precision of +/- 0.01 meters reads 0.02 meters when measuring a distance between two different points. You divide the numbers with a calculator and get the output 32.280000000000. How would this answer look if we reported it with the proper level of precision?
A. 32.3
B. 30
C. 32.28
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 measures a volume of 2.20 liters and a stadimeter with a precision of +/- 10 meters measures a distance as 8370 meters. Using a calculator, you multiply the two numbers and get the output 18414.000000000000. When this output is reported to the appropriate number of significant figures, what do we get?
A. 18414.000 liter-meters
B. 18410 liter-meters
C. 18400 liter-meters
Answer:


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

A stadimeter with a precision of +/- 0.1 meters takes a measurement of 28.4 meters, and a stadimeter with a precision of +/- 4 meters measures a distance between two different points as 82 meters. Your calculator yields the solution 2328.800000000000 when multiplying the first number by the second number. How would this result look if we rounded it with the correct number of significant figures?
A. 2328.80 meters^2
B. 2300 meters^2
C. 2328 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 +/- 0.3 meters takes a measurement of 91.0 meters, and a radar-based method with a precision of +/- 100 meters reads 556100 meters when measuring a distance between two different points. Your calculator yields the output 50605100.000000000000 when multiplying the former number by the latter. Using the proper level of precision, what is the result?
A. 50605100 meters^2
B. 50605100.000 meters^2
C. 50600000 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 +/- 400 grams measures a mass of 9500 grams and a storage container with a precision of +/- 30 liters reads 19300 liters when measuring a volume. Using a calculator app, you multiply the values and get the output 183350000.000000000000. When this output is reported to the correct number of significant figures, what do we get?
A. 183350000.00 gram-liters
B. 183350000 gram-liters
C. 180000000 gram-liters
Answer:


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

A measuring flask with a precision of +/- 0.03 liters takes a measurement of 0.05 liters, and a tape measure with a precision of +/- 0.003 meters measures a distance as 0.050 meters. Your computer produces the output 1.000000000000 when dividing the first number by the second number. When this output is reported to the right number of significant figures, what do we get?
A. 1 liters/meter
B. 1.00 liters/meter
C. 1.0 liters/meter
Answer:


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

A rangefinder with a precision of +/- 0.3 meters measures a distance of 55.9 meters and a storage container with a precision of +/- 10 liters reads 30 liters when measuring a volume. Your calculator gets the output 1677.000000000000 when multiplying the first value by the second value. When this output is reported to the suitable level of precision, what do we get?
A. 1670 liter-meters
B. 2000 liter-meters
C. 1677.0 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 graduated cylinder with a precision of +/- 0.003 liters measures a volume of 0.388 liters and a spring scale with a precision of +/- 0.02 grams measures a mass as 5.86 grams. You divide the former value by the latter with a calculator app and get the output 0.066211604096. How would this result look if we wrote it with the suitable number of significant figures?
A. 0.07 liters/gram
B. 0.0662 liters/gram
C. 0.066 liters/gram
Answer:


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

An opisometer with a precision of +/- 4 meters measures a distance of 6 meters and a measuring tape with a precision of +/- 0.04 meters measures a distance between two different points as 0.19 meters. You divide the first value by the second value with a calculator and get the solution 31.578947368421. When this solution is written to the appropriate level of precision, what do we get?
A. 30
B. 31.6
C. 31
Answer:


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

A radar-based method with a precision of +/- 400 meters measures a distance of 900 meters and a coincidence telemeter with a precision of +/- 30 meters measures a distance between two different points as 470 meters. After multiplying the first value by the second value your computer gets the solution 423000.000000000000. If we report this solution to the correct number of significant figures, what is the result?
A. 423000 meters^2
B. 400000 meters^2
C. 423000.0 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 balance with a precision of +/- 40 grams measures a mass of 76550 grams and a Biltmore stick with a precision of +/- 0.3 meters measures a distance as 60.5 meters. You multiply the two values with a computer and get the solution 4631275.000000000000. How can we report this solution to the proper number of significant figures?
A. 4631270 gram-meters
B. 4631275.000 gram-meters
C. 4630000 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 clickwheel with a precision of +/- 0.2 meters measures a distance of 136.7 meters and a ruler with a precision of +/- 0.01 meters reads 91.78 meters when measuring a distance between two different points. Your calculator app yields the output 12546.326000000000 when multiplying the values. Express this output using the proper level of precision.
A. 12546.3260 meters^2
B. 12550 meters^2
C. 12546.3 meters^2
Answer:


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

An odometer with a precision of +/- 1000 meters measures a distance of 95000 meters and a spring scale with a precision of +/- 400 grams reads 4800 grams when measuring a mass. Your calculator produces the solution 456000000.000000000000 when multiplying the former number by the latter. Write this solution using the proper number of significant figures.
A. 456000000.00 gram-meters
B. 456000000 gram-meters
C. 460000000 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 +/- 2 meters takes a measurement of 9 meters, and a measuring tape with a precision of +/- 0.04 meters reads 0.62 meters when measuring a distance between two different points. Your computer gets the solution 5.580000000000 when multiplying the two values. Using the correct level of precision, what is the result?
A. 5.6 meters^2
B. 5 meters^2
C. 6 meters^2
Answer:


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

A measuring flask with a precision of +/- 0.001 liters takes a measurement of 0.378 liters, and a stopwatch with a precision of +/- 0.002 seconds measures a duration as 0.005 seconds. After dividing the first number by the second number your computer gives the output 75.600000000000. If we report this output to the right level of precision, what is the result?
A. 80 liters/second
B. 75.600 liters/second
C. 75.6 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 measuring rod with a precision of +/- 0.03 meters takes a measurement of 51.74 meters, and a stadimeter with a precision of +/- 200 meters reads 700 meters when measuring a distance between two different points. Your calculator app yields the solution 36218.000000000000 when multiplying the first value by the second value. How would this result look if we expressed it with the appropriate number of significant figures?
A. 36200 meters^2
B. 36218.0 meters^2
C. 40000 meters^2
Answer:


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

A measuring rod with a precision of +/- 0.02 meters takes a measurement of 73.72 meters, and an odometer with a precision of +/- 100 meters measures a distance between two different points as 975900 meters. Your calculator app gets the solution 71943348.000000000000 when multiplying the two numbers. How can we report this solution to the right level of precision?
A. 71943348.0000 meters^2
B. 71940000 meters^2
C. 71943300 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 caliper with a precision of +/- 0.04 meters takes a measurement of 0.30 meters, and a storage container with a precision of +/- 10 liters measures a volume as 520 liters. After multiplying the former number by the latter your computer produces the output 156.000000000000. When this output is reported to the correct number of significant figures, what do we get?
A. 160 liter-meters
B. 150 liter-meters
C. 156.00 liter-meters
Answer:


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

A stadimeter with a precision of +/- 1 meters takes a measurement of 8 meters, and a measuring tape with a precision of +/- 0.4 meters reads 15.4 meters when measuring a distance between two different points. You multiply the two numbers with a computer and get the solution 123.200000000000. When this solution is written to the right number of significant figures, what do we get?
A. 123.2 meters^2
B. 100 meters^2
C. 123 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 +/- 0.004 grams measures a mass of 0.724 grams and a spring scale with a precision of +/- 0.4 grams measures a mass of a different object as 9.6 grams. After dividing the two values your computer produces the output 0.075416666667. If we write this output to the correct level of precision, what is the result?
A. 0.075
B. 0.1
C. 0.08
Answer:


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

A stopwatch with a precision of +/- 0.1 seconds measures a duration of 659.2 seconds and a chronograph with a precision of +/- 0.03 seconds measures a duration of a different event as 0.57 seconds. Your computer yields the solution 1156.491228070175 when dividing the two values. Round this solution using the right number of significant figures.
A. 1156.5
B. 1200
C. 1156.49
Answer:


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

A graduated cylinder with a precision of +/- 0.004 liters takes a measurement of 0.035 liters, and a storage container with a precision of +/- 4 liters measures a volume of a different quantity of liquid as 92 liters. You multiply the two values with a calculator and get the solution 3.220000000000. Using the proper number of significant figures, what is the result?
A. 3.2 liters^2
B. 3.22 liters^2
C. 3 liters^2
Answer:


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

A coincidence telemeter with a precision of +/- 30 meters takes a measurement of 60890 meters, and a ruler with a precision of +/- 0.1 meters measures a distance between two different points as 3.8 meters. You multiply the former number by the latter with a calculator app and get the solution 231382.000000000000. How can we report this solution to the suitable level of precision?
A. 231382.00 meters^2
B. 230000 meters^2
C. 231380 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 opisometer with a precision of +/- 0.004 meters takes a measurement of 5.185 meters, and a storage container with a precision of +/- 30 liters reads 50 liters when measuring a volume. Your calculator app gives the output 259.250000000000 when multiplying the former value by the latter. If we express this output correctly with respect to the number of significant figures, what is the result?
A. 250 liter-meters
B. 259.2 liter-meters
C. 300 liter-meters
Answer:


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

An analytical balance with a precision of +/- 100 grams takes a measurement of 5900 grams, and a meter stick with a precision of +/- 0.0004 meters measures a distance as 0.0929 meters. You multiply the values with a calculator app and get the output 548.110000000000. How can we round this output to the proper number of significant figures?
A. 550 gram-meters
B. 548.11 gram-meters
C. 500 gram-meters
Answer:


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

A balance with a precision of +/- 100 grams measures a mass of 6200 grams and a ruler with a precision of +/- 0.0002 meters reads 0.7321 meters when measuring a distance. Using a computer, you divide the former value by the latter and get the output 8468.788416882939. Report this output using the suitable level of precision.
A. 8468.79 grams/meter
B. 8400 grams/meter
C. 8500 grams/meter
Answer:


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

An opisometer with a precision of +/- 0.4 meters measures a distance of 8.8 meters and a caliper with a precision of +/- 0.002 meters measures a distance between two different points as 0.501 meters. Using a calculator, you divide the values and get the output 17.564870259481. Using the appropriate number of significant figures, what is the answer?
A. 18
B. 17.56
C. 17.6
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 1 meters takes a measurement of 638 meters, and a measuring stick with a precision of +/- 0.1 meters measures a distance between two different points as 558.9 meters. Your calculator app gets the output 356578.200000000000 when multiplying the first value by the second value. When this output is rounded to the right number of significant figures, what do we get?
A. 357000 meters^2
B. 356578 meters^2
C. 356578.200 meters^2
Answer:


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

An odometer with a precision of +/- 4000 meters takes a measurement of 57000 meters, and a cathetometer with a precision of +/- 0.00001 meters measures a distance between two different points as 0.00334 meters. Your calculator gets the solution 17065868.263473053892 when dividing the two numbers. When this solution is rounded to the correct level of precision, what do we get?
A. 17065868.26
B. 17000000
C. 17065000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 300 grams takes a measurement of 9300 grams, and a Biltmore stick with a precision of +/- 0.03 meters measures a distance as 42.89 meters. Your calculator gives the solution 216.833760783399 when dividing the first number by the second number. If we report this solution correctly with respect to the number of significant figures, what is the result?
A. 220 grams/meter
B. 200 grams/meter
C. 216.83 grams/meter
Answer:


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

A biltmore stick with a precision of +/- 0.3 meters measures a distance of 0.5 meters and an analytical balance with a precision of +/- 40 grams reads 46970 grams when measuring a mass. After multiplying the numbers your calculator app produces the solution 23485.000000000000. When this solution is expressed to the appropriate level of precision, what do we get?
A. 20000 gram-meters
B. 23480 gram-meters
C. 23485.0 gram-meters
Answer:


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

A coincidence telemeter with a precision of +/- 200 meters measures a distance of 900 meters and a stadimeter with a precision of +/- 100 meters reads 600 meters when measuring a distance between two different points. Your computer gives the solution 540000.000000000000 when multiplying the values. Using the proper level of precision, what is the answer?
A. 540000 meters^2
B. 500000 meters^2
C. 540000.0 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 cathetometer with a precision of +/- 0.0002 meters measures a distance of 0.0842 meters and an opisometer with a precision of +/- 0.002 meters measures a distance between two different points as 0.070 meters. Your calculator app gives the output 0.005894000000 when multiplying the former number by the latter. If we write this output correctly with respect to the level of precision, what is the result?
A. 0.01 meters^2
B. 0.006 meters^2
C. 0.0059 meters^2
Answer:


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

A measuring tape with a precision of +/- 0.1 meters takes a measurement of 64.0 meters, and a rangefinder with a precision of +/- 0.1 meters measures a distance between two different points as 109.1 meters. Using a calculator app, you multiply the first number by the second number and get the output 6982.400000000000. If we round this output properly with respect to the level of precision, what is the result?
A. 6980 meters^2
B. 6982.400 meters^2
C. 6982.4 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 +/- 0.1 liters takes a measurement of 906.2 liters, and a measuring flask with a precision of +/- 0.001 liters reads 6.297 liters when measuring a volume of a different quantity of liquid. Your calculator yields the solution 5706.341400000000 when multiplying the former number by the latter. If we round this solution suitably with respect to the number of significant figures, what is the answer?
A. 5706.3414 liters^2
B. 5706 liters^2
C. 5706.3 liters^2
Answer:


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

A stadimeter with a precision of +/- 1 meters takes a measurement of 7 meters, and an analytical balance with a precision of +/- 0.0004 grams reads 0.0087 grams when measuring a mass. You divide the values with a calculator and get the output 804.597701149425. How would this result look if we expressed it with the suitable level of precision?
A. 800 meters/gram
B. 804 meters/gram
C. 804.6 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 tape with a precision of +/- 0.02 meters takes a measurement of 0.59 meters, and a radar-based method with a precision of +/- 3 meters reads 15 meters when measuring a distance between two different points. Your calculator gets the output 8.850000000000 when multiplying the former value by the latter. How would this result look if we expressed it with the right level of precision?
A. 8.85 meters^2
B. 8.8 meters^2
C. 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).
---

An opisometer with a precision of +/- 0.0002 meters takes a measurement of 0.0613 meters, and a ruler with a precision of +/- 0.4 meters measures a distance between two different points as 36.4 meters. After multiplying the former number by the latter your computer gives the output 2.231320000000. If we write this output to the right number of significant figures, what is the result?
A. 2.231 meters^2
B. 2.23 meters^2
C. 2.2 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 +/- 400 grams measures a mass of 3700 grams and a tape measure with a precision of +/- 0.002 meters reads 0.003 meters when measuring a distance. Your calculator app gives the output 1233333.333333333333 when dividing the first value by the second value. How would this answer look if we reported it with the proper level of precision?
A. 1233300 grams/meter
B. 1233333.3 grams/meter
C. 1000000 grams/meter
Answer:


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

A coincidence telemeter with a precision of +/- 1 meters takes a measurement of 4 meters, and a rangefinder with a precision of +/- 10 meters reads 470 meters when measuring a distance between two different points. Your calculator app gets the output 1880.000000000000 when multiplying the former value by the latter. How would this result look if we rounded it with the suitable level of precision?
A. 1880 meters^2
B. 1880.0 meters^2
C. 2000 meters^2
Answer:


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

A chronograph with a precision of +/- 0.1 seconds measures a duration of 434.6 seconds and a hydraulic scale with a precision of +/- 4000 grams reads 19000 grams when measuring a mass. After multiplying the first number by the second number your calculator app yields the solution 8257400.000000000000. If we round this solution properly with respect to the number of significant figures, what is the result?
A. 8257400.00 gram-seconds
B. 8300000 gram-seconds
C. 8257000 gram-seconds
Answer:


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

A measuring stick with a precision of +/- 0.4 meters measures a distance of 2.2 meters and a radar-based method with a precision of +/- 30 meters measures a distance between two different points as 4580 meters. Your calculator produces the output 10076.000000000000 when multiplying the former value by the latter. How would this answer look if we expressed it with the proper number of significant figures?
A. 10000 meters^2
B. 10070 meters^2
C. 10076.00 meters^2
Answer:


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

A measuring flask with a precision of +/- 0.003 liters measures a volume of 0.003 liters and an analytical balance with a precision of +/- 40 grams reads 6050 grams when measuring a mass. You multiply the two numbers with a calculator app and get the solution 18.150000000000. Using the proper level of precision, what is the result?
A. 10 gram-liters
B. 18.2 gram-liters
C. 20 gram-liters
Answer:


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

An odometer with a precision of +/- 3000 meters measures a distance of 17000 meters and a stadimeter with a precision of +/- 400 meters measures a distance between two different points as 500 meters. Using a calculator app, you multiply the former number by the latter and get the solution 8500000.000000000000. If we express this solution appropriately with respect to the number of significant figures, what is the result?
A. 8000000 meters^2
B. 8500000 meters^2
C. 8500000.0 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 chronograph with a precision of +/- 0.4 seconds takes a measurement of 585.6 seconds, and an opisometer with a precision of +/- 0.004 meters measures a distance as 0.926 meters. After dividing the two values your calculator gets the solution 632.397408207343. How would this answer look if we rounded it with the appropriate level of precision?
A. 632.4 seconds/meter
B. 632 seconds/meter
C. 632.397 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 coincidence telemeter with a precision of +/- 0.2 meters takes a measurement of 320.2 meters, and a stopwatch with a precision of +/- 0.01 seconds measures a duration as 0.21 seconds. Using a calculator app, you multiply the two numbers and get the solution 67.242000000000. If we report this solution to the proper level of precision, what is the answer?
A. 67 meter-seconds
B. 67.24 meter-seconds
C. 67.2 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 meter stick with a precision of +/- 0.0003 meters measures a distance of 0.0009 meters and a chronometer with a precision of +/- 0.00002 seconds reads 0.00066 seconds when measuring a duration. You divide the first value by the second value with a computer and get the output 1.363636363636. When this output is written to the appropriate number of significant figures, what do we get?
A. 1 meters/second
B. 1.3636 meters/second
C. 1.4 meters/second
Answer:


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

A stopwatch with a precision of +/- 0.03 seconds measures a duration of 94.05 seconds and a timer with a precision of +/- 0.04 seconds reads 0.06 seconds when measuring a duration of a different event. You divide the two values with a calculator app and get the output 1567.500000000000. How would this result look if we wrote it with the proper level of precision?
A. 2000
B. 1567.50
C. 1567.5
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 hydraulic scale with a precision of +/- 2000 grams takes a measurement of 2000 grams, and an odometer with a precision of +/- 3000 meters measures a distance as 8175000 meters. You multiply the former number by the latter with a computer and get the solution 16350000000.000000000000. Write this solution using the suitable number of significant figures.
A. 16350000000.0 gram-meters
B. 16350000000 gram-meters
C. 20000000000 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 chronometer with a precision of +/- 0.00004 seconds measures a duration of 0.05753 seconds and a Biltmore stick with a precision of +/- 0.3 meters measures a distance as 1.0 meters. Your calculator gets the solution 0.057530000000 when dividing the first value by the second value. Using the suitable number of significant figures, what is the result?
A. 0.06 seconds/meter
B. 0.058 seconds/meter
C. 0.1 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 ruler with a precision of +/- 0.02 meters measures a distance of 82.58 meters and a balance with a precision of +/- 0.0004 grams reads 0.0351 grams when measuring a mass. Using a calculator app, you divide the two numbers and get the solution 2352.706552706553. Write this solution using the suitable number of significant figures.
A. 2350 meters/gram
B. 2352.71 meters/gram
C. 2352.707 meters/gram
Answer:


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

A stadimeter with a precision of +/- 4 meters takes a measurement of 8782 meters, and a Biltmore stick with a precision of +/- 0.3 meters reads 0.6 meters when measuring a distance between two different points. After dividing the numbers your calculator app gets the solution 14636.666666666667. How would this result look if we reported it with the appropriate number of significant figures?
A. 14636
B. 14636.7
C. 10000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.001 seconds measures a duration of 9.754 seconds and a balance with a precision of +/- 0.3 grams reads 60.2 grams when measuring a mass. Your calculator app gets the output 587.190800000000 when multiplying the first value by the second value. When this output is rounded to the proper level of precision, what do we get?
A. 587.2 gram-seconds
B. 587 gram-seconds
C. 587.191 gram-seconds
Answer:


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

A measuring tape with a precision of +/- 0.3 meters measures a distance of 251.2 meters and a balance with a precision of +/- 0.0001 grams reads 0.1217 grams when measuring a mass. After multiplying the former number by the latter your calculator app yields the solution 30.571040000000. Using the proper level of precision, what is the result?
A. 30.5710 gram-meters
B. 30.57 gram-meters
C. 30.6 gram-meters
Answer:


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

An odometer with a precision of +/- 200 meters measures a distance of 266000 meters and an analytical balance with a precision of +/- 0.02 grams measures a mass as 1.10 grams. Your computer gives the solution 241818.181818181818 when dividing the numbers. How would this result look if we reported it with the appropriate level of precision?
A. 241800 meters/gram
B. 242000 meters/gram
C. 241818.182 meters/gram
Answer:


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

A caliper with a precision of +/- 0.001 meters takes a measurement of 0.081 meters, and a ruler with a precision of +/- 0.0004 meters reads 0.0033 meters when measuring a distance between two different points. After dividing the numbers your calculator gets the output 24.545454545455. Using the correct number of significant figures, what is the result?
A. 25
B. 24.545
C. 24.55
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.03 meters measures a distance of 0.02 meters and a hydraulic scale with a precision of +/- 1 grams measures a mass as 8440 grams. Your computer produces the output 168.800000000000 when multiplying the two values. Round this output using the appropriate level of precision.
A. 200 gram-meters
B. 168 gram-meters
C. 168.8 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 clickwheel with a precision of +/- 0.1 meters takes a measurement of 223.9 meters, and a storage container with a precision of +/- 0.3 liters reads 7.4 liters when measuring a volume. Using a computer, you divide the former value by the latter and get the solution 30.256756756757. If we express this solution properly with respect to the number of significant figures, what is the result?
A. 30.3 meters/liter
B. 30.26 meters/liter
C. 30 meters/liter
Answer:


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

An opisometer with a precision of +/- 0.0003 meters takes a measurement of 0.2564 meters, and a ruler with a precision of +/- 0.02 meters measures a distance between two different points as 35.08 meters. After multiplying the former value by the latter your calculator app gets the output 8.994512000000. When this output is reported to the appropriate number of significant figures, what do we get?
A. 8.9945 meters^2
B. 8.995 meters^2
C. 8.99 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 +/- 400 grams takes a measurement of 71100 grams, and an opisometer with a precision of +/- 0.2 meters measures a distance as 0.5 meters. Using a computer, you divide the two values and get the output 142200.000000000000. How can we round this output to the suitable level of precision?
A. 142200 grams/meter
B. 100000 grams/meter
C. 142200.0 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 stopwatch with a precision of +/- 0.1 seconds takes a measurement of 934.2 seconds, and a ruler with a precision of +/- 0.003 meters reads 4.736 meters when measuring a distance. Using a calculator app, you multiply the numbers and get the output 4424.371200000000. Using the correct number of significant figures, what is the result?
A. 4424.3712 meter-seconds
B. 4424.4 meter-seconds
C. 4424 meter-seconds
Answer:


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

A spring scale with a precision of +/- 200 grams takes a measurement of 88600 grams, and a radar-based method with a precision of +/- 30 meters reads 48040 meters when measuring a distance. You multiply the two numbers with a calculator app and get the output 4256344000.000000000000. How can we round this output to the correct number of significant figures?
A. 4256344000.000 gram-meters
B. 4256344000 gram-meters
C. 4260000000 gram-meters
Answer:


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

A balance with a precision of +/- 3 grams takes a measurement of 733 grams, and a stadimeter with a precision of +/- 100 meters measures a distance as 80600 meters. Using a calculator, you multiply the former number by the latter and get the solution 59079800.000000000000. If we write this solution to the correct level of precision, what is the answer?
A. 59079800 gram-meters
B. 59079800.000 gram-meters
C. 59100000 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 +/- 0.03 meters takes a measurement of 0.36 meters, and a caliper with a precision of +/- 0.03 meters measures a distance between two different points as 0.02 meters. Your computer produces the output 18.000000000000 when dividing the first number by the second number. Using the appropriate level of precision, what is the result?
A. 20
B. 18.0
C. 18.00
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).
---

An analytical balance with a precision of +/- 0.02 grams takes a measurement of 91.56 grams, and a stopwatch with a precision of +/- 0.4 seconds reads 8.1 seconds when measuring a duration. Your computer gives the output 11.303703703704 when dividing the numbers. How can we express this output to the right number of significant figures?
A. 11.3 grams/second
B. 11.30 grams/second
C. 11 grams/second
Answer: