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

A storage container with a precision of +/- 40 liters takes a measurement of 94160 liters, and a ruler with a precision of +/- 0.02 meters measures a distance as 89.57 meters. After dividing the former value by the latter your calculator gives the output 1051.244836440773. Using the correct level of precision, what is the answer?
A. 1050 liters/meter
B. 1051.244836440773 liters/meter
C. 1051.2448 liters/meter
D. 1051 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 +/- 0.001 meters measures a distance of 0.078 meters and a graduated cylinder with a precision of +/- 0.001 liters reads 0.004 liters when measuring a volume. Using a computer, you divide the first value by the second value and get the solution 19.500000000000. If we express this solution correctly with respect to the number of significant figures, what is the result?
A. 19.500000000000 meters/liter
B. 19.500 meters/liter
C. 19.5 meters/liter
D. 20 meters/liter
Answer:


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

A radar-based method with a precision of +/- 3 meters takes a measurement of 65 meters, and a ruler with a precision of +/- 0.2 meters measures a distance between two different points as 37.0 meters. You multiply the first value by the second value with a calculator and get the solution 2405.000000000000. If we report this solution to the suitable number of significant figures, what is the result?
A. 2400 meters^2
B. 2405 meters^2
C. 2405.000000000000 meters^2
D. 2405.00 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 chronograph with a precision of +/- 0.4 seconds measures a duration of 2.1 seconds and a hydraulic scale with a precision of +/- 4 grams reads 9933 grams when measuring a mass. Using a computer, you multiply the values and get the solution 20859.300000000000. Express this solution using the proper number of significant figures.
A. 21000 gram-seconds
B. 20859.300000000000 gram-seconds
C. 20859 gram-seconds
D. 20859.30 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 rangefinder with a precision of +/- 0.04 meters measures a distance of 3.47 meters and a measuring stick with a precision of +/- 0.004 meters measures a distance between two different points as 0.008 meters. After dividing the two numbers your computer gives the output 433.750000000000. If we round this output to the right number of significant figures, what is the result?
A. 433.8
B. 400
C. 433.750000000000
D. 433.75
Answer:


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

A storage container with a precision of +/- 40 liters measures a volume of 44270 liters and a measuring rod with a precision of +/- 0.02 meters measures a distance as 0.80 meters. Your calculator yields the output 35416.000000000000 when multiplying the numbers. How would this answer look if we expressed it with the correct level of precision?
A. 35000 liter-meters
B. 35416.00 liter-meters
C. 35410 liter-meters
D. 35416.000000000000 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 +/- 0.001 liters measures a volume of 0.578 liters and a measuring stick with a precision of +/- 0.01 meters reads 80.68 meters when measuring a distance. Your computer gets the solution 46.633040000000 when multiplying the former value by the latter. Using the suitable number of significant figures, what is the result?
A. 46.633040000000 liter-meters
B. 46.6 liter-meters
C. 46.63 liter-meters
D. 46.633 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 chronometer with a precision of +/- 0.0004 seconds measures a duration of 0.3417 seconds and a meter stick with a precision of +/- 0.0002 meters reads 0.0005 meters when measuring a distance. Using a calculator app, you divide the two values and get the output 683.400000000000. How would this result look if we reported it with the right level of precision?
A. 683.4 seconds/meter
B. 683.400000000000 seconds/meter
C. 683.4000 seconds/meter
D. 700 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 chronograph with a precision of +/- 0.001 seconds takes a measurement of 0.841 seconds, and a balance with a precision of +/- 0.0001 grams reads 0.0032 grams when measuring a mass. Using a calculator, you divide the two values and get the solution 262.812500000000. If we report this solution appropriately with respect to the level of precision, what is the result?
A. 262.81 seconds/gram
B. 262.812 seconds/gram
C. 260 seconds/gram
D. 262.812500000000 seconds/gram
Answer:


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

A coincidence telemeter with a precision of +/- 300 meters measures a distance of 5000 meters and a ruler with a precision of +/- 0.3 meters reads 7.9 meters when measuring a distance between two different points. Using a calculator app, you multiply the two numbers and get the solution 39500.000000000000. If we round this solution properly with respect to the level of precision, what is the result?
A. 40000 meters^2
B. 39500.00 meters^2
C. 39500.000000000000 meters^2
D. 39500 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 +/- 4 liters measures a volume of 8 liters and a rangefinder with a precision of +/- 0.1 meters reads 26.2 meters when measuring a distance. Your computer gets the output 209.600000000000 when multiplying the two numbers. Using the correct number of significant figures, what is the answer?
A. 209 liter-meters
B. 209.600000000000 liter-meters
C. 209.6 liter-meters
D. 200 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 +/- 200 grams measures a mass of 300 grams and a chronograph with a precision of +/- 0.2 seconds reads 0.5 seconds when measuring a duration. Your calculator yields the solution 150.000000000000 when multiplying the two numbers. Express this solution using the correct number of significant figures.
A. 200 gram-seconds
B. 100 gram-seconds
C. 150.0 gram-seconds
D. 150.000000000000 gram-seconds
Answer:


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

A stopwatch with a precision of +/- 0.01 seconds measures a duration of 0.97 seconds and an analytical balance with a precision of +/- 20 grams measures a mass as 3240 grams. Using a calculator, you multiply the two values and get the solution 3142.800000000000. Express this solution using the proper level of precision.
A. 3142.800000000000 gram-seconds
B. 3100 gram-seconds
C. 3142.80 gram-seconds
D. 3140 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 radar-based method with a precision of +/- 100 meters takes a measurement of 1300 meters, and a measuring rod with a precision of +/- 0.01 meters reads 0.73 meters when measuring a distance between two different points. After dividing the first value by the second value your computer yields the output 1780.821917808219. Express this output using the proper level of precision.
A. 1700
B. 1780.821917808219
C. 1780.82
D. 1800
Answer:


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

An odometer with a precision of +/- 200 meters takes a measurement of 140300 meters, and a stopwatch with a precision of +/- 0.003 seconds measures a duration as 0.688 seconds. Using a calculator app, you divide the former number by the latter and get the output 203924.418604651163. When this output is written to the appropriate number of significant figures, what do we get?
A. 204000 meters/second
B. 203900 meters/second
C. 203924.419 meters/second
D. 203924.418604651163 meters/second
Answer:


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

A storage container with a precision of +/- 0.3 liters measures a volume of 43.8 liters and a measuring tape with a precision of +/- 0.4 meters measures a distance as 940.6 meters. After multiplying the two values your calculator yields the solution 41198.280000000000. Round this solution using the proper level of precision.
A. 41198.3 liter-meters
B. 41198.280 liter-meters
C. 41198.280000000000 liter-meters
D. 41200 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 radar-based method with a precision of +/- 400 meters measures a distance of 6200 meters and a ruler with a precision of +/- 0.0004 meters measures a distance between two different points as 0.5437 meters. You divide the numbers with a computer and get the solution 11403.347434246827. When this solution is written to the appropriate level of precision, what do we get?
A. 11403.347434246827
B. 11000
C. 11400
D. 11403.35
Answer:


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

A tape measure with a precision of +/- 0.003 meters measures a distance of 0.085 meters and a storage container with a precision of +/- 2 liters reads 5130 liters when measuring a volume. You multiply the two numbers with a computer and get the solution 436.050000000000. Using the suitable level of precision, what is the answer?
A. 436 liter-meters
B. 436.05 liter-meters
C. 440 liter-meters
D. 436.050000000000 liter-meters
Answer:


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

A spring scale with a precision of +/- 100 grams takes a measurement of 404900 grams, and a ruler with a precision of +/- 0.3 meters reads 6.3 meters when measuring a distance. After multiplying the two numbers your calculator app gives the solution 2550870.000000000000. If we report this solution to the right level of precision, what is the result?
A. 2600000 gram-meters
B. 2550870.000000000000 gram-meters
C. 2550870.00 gram-meters
D. 2550800 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 10 meters, and a measuring stick with a precision of +/- 0.04 meters measures a distance between two different points as 2.38 meters. Your calculator app produces the output 4.201680672269 when dividing the former number by the latter. Using the suitable level of precision, what is the answer?
A. 4.20
B. 4.2
C. 4
D. 4.201680672269
Answer:


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

A storage container with a precision of +/- 10 liters measures a volume of 41250 liters and a stadimeter with a precision of +/- 0.2 meters reads 11.1 meters when measuring a distance. You divide the first value by the second value with a calculator app and get the output 3716.216216216216. If we round this output suitably with respect to the level of precision, what is the answer?
A. 3720 liters/meter
B. 3710 liters/meter
C. 3716.216 liters/meter
D. 3716.216216216216 liters/meter
Answer:


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

A biltmore stick with a precision of +/- 0.4 meters measures a distance of 798.0 meters and a tape measure with a precision of +/- 0.001 meters measures a distance between two different points as 0.537 meters. Your calculator produces the solution 1486.033519553073 when dividing the two numbers. How would this result look if we reported it with the right number of significant figures?
A. 1486.033519553073
B. 1490
C. 1486.0
D. 1486.034
Answer:


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

A caliper with a precision of +/- 0.002 meters measures a distance of 0.010 meters and a graduated cylinder with a precision of +/- 0.001 liters reads 0.574 liters when measuring a volume. Your calculator app gives the solution 0.005740000000 when multiplying the numbers. Round this solution using the suitable number of significant figures.
A. 0.01 liter-meters
B. 0.0057 liter-meters
C. 0.006 liter-meters
D. 0.005740000000 liter-meters
Answer:


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

An odometer with a precision of +/- 3000 meters measures a distance of 11000 meters and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 0.584 liters. Your calculator app gives the solution 6424.000000000000 when multiplying the numbers. If we round this solution to the right level of precision, what is the result?
A. 6000 liter-meters
B. 6400 liter-meters
C. 6424.000000000000 liter-meters
D. 6424.00 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 balance with a precision of +/- 0.0002 grams measures a mass of 0.0524 grams and a balance with a precision of +/- 0.0002 grams measures a mass of a different object as 0.0009 grams. Using a computer, you divide the former number by the latter and get the output 58.222222222222. Report this output using the appropriate level of precision.
A. 58.2222
B. 60
C. 58.222222222222
D. 58.2
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 +/- 2 liters takes a measurement of 26 liters, and a measuring rod with a precision of +/- 0.01 meters reads 8.66 meters when measuring a distance. Using a calculator app, you divide the values and get the solution 3.002309468822. How would this answer look if we expressed it with the correct level of precision?
A. 3 liters/meter
B. 3.0 liters/meter
C. 3.00 liters/meter
D. 3.002309468822 liters/meter
Answer:


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

An odometer with a precision of +/- 3000 meters takes a measurement of 151000 meters, and a stadimeter with a precision of +/- 0.4 meters reads 51.0 meters when measuring a distance between two different points. Your computer produces the output 7701000.000000000000 when multiplying the former value by the latter. How would this answer look if we reported it with the right level of precision?
A. 7701000 meters^2
B. 7701000.000000000000 meters^2
C. 7701000.000 meters^2
D. 7700000 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 +/- 0.01 meters measures a distance of 6.46 meters and a measuring flask with a precision of +/- 0.01 liters measures a volume as 0.08 liters. Using a calculator app, you divide the numbers and get the solution 80.750000000000. When this solution is expressed to the appropriate number of significant figures, what do we get?
A. 80.750000000000 meters/liter
B. 80 meters/liter
C. 80.75 meters/liter
D. 80.8 meters/liter
Answer:


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

A balance with a precision of +/- 400 grams measures a mass of 85900 grams and a Biltmore stick with a precision of +/- 0.2 meters reads 36.0 meters when measuring a distance. Using a calculator app, you divide the two numbers and get the output 2386.111111111111. When this output is written to the suitable level of precision, what do we get?
A. 2386.111 grams/meter
B. 2386.111111111111 grams/meter
C. 2390 grams/meter
D. 2300 grams/meter
Answer:


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

A timer with a precision of +/- 0.4 seconds measures a duration of 746.8 seconds and a stadimeter with a precision of +/- 4 meters reads 3662 meters when measuring a distance. You multiply the values with a calculator app and get the solution 2734781.600000000000. Write this solution using the suitable level of precision.
A. 2734781 meter-seconds
B. 2735000 meter-seconds
C. 2734781.6000 meter-seconds
D. 2734781.600000000000 meter-seconds
Answer:


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

A measuring flask with a precision of +/- 0.04 liters measures a volume of 0.06 liters and an analytical balance with a precision of +/- 0.0002 grams reads 0.0069 grams when measuring a mass. Using a calculator, you divide the numbers and get the output 8.695652173913. If we report this output to the right level of precision, what is the result?
A. 9 liters/gram
B. 8.7 liters/gram
C. 8.70 liters/gram
D. 8.695652173913 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 analytical balance with a precision of +/- 3 grams takes a measurement of 883 grams, and a stopwatch with a precision of +/- 0.4 seconds reads 549.0 seconds when measuring a duration. After dividing the former number by the latter your calculator app produces the output 1.608378870674. If we round this output properly with respect to the number of significant figures, what is the answer?
A. 1.61 grams/second
B. 1 grams/second
C. 1.608378870674 grams/second
D. 1.608 grams/second
Answer:


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

A measuring stick with a precision of +/- 0.3 meters measures a distance of 20.0 meters and a tape measure with a precision of +/- 0.002 meters measures a distance between two different points as 0.376 meters. After multiplying the former number by the latter your calculator gives the output 7.520000000000. When this output is expressed to the correct number of significant figures, what do we get?
A. 7.520 meters^2
B. 7.520000000000 meters^2
C. 7.52 meters^2
D. 7.5 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 +/- 3 grams takes a measurement of 50 grams, and a timer with a precision of +/- 0.04 seconds measures a duration as 26.81 seconds. Your computer produces the output 1340.500000000000 when multiplying the first number by the second number. When this output is written to the suitable number of significant figures, what do we get?
A. 1340.50 gram-seconds
B. 1300 gram-seconds
C. 1340.500000000000 gram-seconds
D. 1340 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).
---

An opisometer with a precision of +/- 0.003 meters takes a measurement of 3.493 meters, and a cathetometer with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0060 meters. Your calculator gives the solution 582.166666666667 when dividing the former number by the latter. If we report this solution properly with respect to the number of significant figures, what is the answer?
A. 580
B. 582.166666666667
C. 582.17
D. 582.167
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 2 grams takes a measurement of 60 grams, and an analytical balance with a precision of +/- 0.002 grams measures a mass of a different object as 0.007 grams. After dividing the former number by the latter your calculator app gets the output 8571.428571428571. How would this result look if we reported it with the suitable level of precision?
A. 8571.4
B. 8571.428571428571
C. 8571
D. 9000
Answer:


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

A radar-based method with a precision of +/- 100 meters takes a measurement of 32500 meters, and a chronograph with a precision of +/- 0.3 seconds reads 60.0 seconds when measuring a duration. Using a computer, you divide the first value by the second value and get the output 541.666666666667. If we report this output properly with respect to the number of significant figures, what is the result?
A. 542 meters/second
B. 500 meters/second
C. 541.667 meters/second
D. 541.666666666667 meters/second
Answer:


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

A ruler with a precision of +/- 0.2 meters takes a measurement of 355.5 meters, and a spring scale with a precision of +/- 2000 grams measures a mass as 167000 grams. After multiplying the former value by the latter your calculator app gives the output 59368500.000000000000. If we write this output to the suitable number of significant figures, what is the result?
A. 59368500.000000000000 gram-meters
B. 59368500.000 gram-meters
C. 59368000 gram-meters
D. 59400000 gram-meters
Answer:


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

A measuring flask with a precision of +/- 0.003 liters takes a measurement of 0.789 liters, and an odometer with a precision of +/- 300 meters reads 24300 meters when measuring a distance. After multiplying the two numbers your calculator app yields the output 19172.700000000000. Write this output using the proper level of precision.
A. 19200 liter-meters
B. 19172.700 liter-meters
C. 19172.700000000000 liter-meters
D. 19100 liter-meters
Answer:


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

A rangefinder with a precision of +/- 0.01 meters takes a measurement of 84.32 meters, and a storage container with a precision of +/- 0.4 liters measures a volume as 900.8 liters. Using a calculator app, you multiply the former value by the latter and get the solution 75955.456000000000. If we round this solution appropriately with respect to the number of significant figures, what is the result?
A. 75955.5 liter-meters
B. 75955.4560 liter-meters
C. 75960 liter-meters
D. 75955.456000000000 liter-meters
Answer:


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

An odometer with a precision of +/- 400 meters takes a measurement of 8000 meters, and a chronometer with a precision of +/- 0.00001 seconds reads 0.06879 seconds when measuring a duration. You divide the first value by the second value with a calculator and get the solution 116295.973251926152. If we express this solution properly with respect to the number of significant figures, what is the answer?
A. 120000 meters/second
B. 116200 meters/second
C. 116295.973251926152 meters/second
D. 116295.97 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 timer with a precision of +/- 0.03 seconds takes a measurement of 78.51 seconds, and a rangefinder with a precision of +/- 0.002 meters measures a distance as 0.206 meters. Using a calculator app, you multiply the first number by the second number and get the solution 16.173060000000. When this solution is expressed to the proper number of significant figures, what do we get?
A. 16.2 meter-seconds
B. 16.173060000000 meter-seconds
C. 16.173 meter-seconds
D. 16.17 meter-seconds
Answer:


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

An odometer with a precision of +/- 200 meters takes a measurement of 33100 meters, and a hydraulic scale with a precision of +/- 0.04 grams measures a mass as 5.55 grams. Using a calculator app, you divide the former value by the latter and get the solution 5963.963963963964. Using the proper level of precision, what is the result?
A. 5963.963963963964 meters/gram
B. 5963.964 meters/gram
C. 5900 meters/gram
D. 5960 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 rangefinder with a precision of +/- 0.003 meters takes a measurement of 0.750 meters, and a balance with a precision of +/- 0.0004 grams reads 0.0007 grams when measuring a mass. Using a calculator, you divide the two numbers and get the solution 1071.428571428571. When this solution is written to the appropriate number of significant figures, what do we get?
A. 1000 meters/gram
B. 1071.429 meters/gram
C. 1071.4 meters/gram
D. 1071.428571428571 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 measures a distance of 4995 meters and a stadimeter with a precision of +/- 0.1 meters reads 39.2 meters when measuring a distance between two different points. Using a calculator app, you multiply the former number by the latter and get the output 195804.000000000000. When this output is expressed to the appropriate level of precision, what do we get?
A. 195804.000000000000 meters^2
B. 196000 meters^2
C. 195804.000 meters^2
D. 195804 meters^2
Answer:


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

A biltmore stick with a precision of +/- 0.1 meters measures a distance of 935.2 meters and a ruler with a precision of +/- 0.3 meters measures a distance between two different points as 9.0 meters. After dividing the two values your calculator app produces the solution 103.911111111111. When this solution is expressed to the right level of precision, what do we get?
A. 103.91
B. 100
C. 103.911111111111
D. 103.9
Answer:


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

A radar-based method with a precision of +/- 1 meters measures a distance of 2 meters and a tape measure with a precision of +/- 0.0002 meters measures a distance between two different points as 0.1009 meters. Your computer gives the output 19.821605550050 when dividing the first number by the second number. If we round this output suitably with respect to the number of significant figures, what is the answer?
A. 19
B. 20
C. 19.8
D. 19.821605550050
Answer:


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

A coincidence telemeter with a precision of +/- 0.4 meters takes a measurement of 29.2 meters, and a rangefinder with a precision of +/- 0.03 meters reads 0.35 meters when measuring a distance between two different points. After dividing the first number by the second number your calculator produces the solution 83.428571428571. Write this solution using the suitable number of significant figures.
A. 83.428571428571
B. 83
C. 83.4
D. 83.43
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 10 meters takes a measurement of 15860 meters, and a rangefinder with a precision of +/- 1 meters measures a distance between two different points as 31 meters. You multiply the first number by the second number with a calculator app and get the output 491660.000000000000. If we write this output to the appropriate number of significant figures, what is the result?
A. 490000 meters^2
B. 491660.00 meters^2
C. 491660 meters^2
D. 491660.000000000000 meters^2
Answer:


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

A graduated cylinder with a precision of +/- 0.004 liters measures a volume of 0.003 liters and a meter stick with a precision of +/- 0.0002 meters measures a distance as 0.0006 meters. Using a calculator, you divide the two numbers and get the solution 5.000000000000. How can we round this solution to the proper number of significant figures?
A. 5.000000000000 liters/meter
B. 5 liters/meter
C. 5.0 liters/meter
D. 5.000 liters/meter
Answer:


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

A stadimeter with a precision of +/- 10 meters measures a distance of 36500 meters and a timer with a precision of +/- 0.4 seconds measures a duration as 9.7 seconds. Using a computer, you divide the former number by the latter and get the solution 3762.886597938144. Using the appropriate number of significant figures, what is the answer?
A. 3762.886597938144 meters/second
B. 3800 meters/second
C. 3760 meters/second
D. 3762.89 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 measuring stick with a precision of +/- 0.1 meters measures a distance of 4.6 meters and a Biltmore stick with a precision of +/- 0.1 meters measures a distance between two different points as 6.7 meters. After multiplying the first value by the second value your calculator app produces the output 30.820000000000. How would this answer look if we wrote it with the proper number of significant figures?
A. 30.8 meters^2
B. 30.820000000000 meters^2
C. 31 meters^2
D. 30.82 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 +/- 0.003 grams measures a mass of 0.948 grams and a coincidence telemeter with a precision of +/- 400 meters reads 34700 meters when measuring a distance. After multiplying the numbers your calculator app produces the solution 32895.600000000000. If we express this solution to the proper level of precision, what is the answer?
A. 32895.600 gram-meters
B. 32800 gram-meters
C. 32900 gram-meters
D. 32895.600000000000 gram-meters
Answer:


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

A stadimeter with a precision of +/- 0.1 meters takes a measurement of 5.2 meters, and a radar-based method with a precision of +/- 2 meters reads 952 meters when measuring a distance between two different points. After multiplying the former number by the latter your computer yields the solution 4950.400000000000. Using the proper level of precision, what is the answer?
A. 4950 meters^2
B. 4950.400000000000 meters^2
C. 4950.40 meters^2
D. 5000 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 +/- 4 liters takes a measurement of 6926 liters, and a measuring flask with a precision of +/- 0.04 liters reads 0.04 liters when measuring a volume of a different quantity of liquid. After dividing the numbers your calculator app yields the solution 173150.000000000000. How would this result look if we wrote it with the right level of precision?
A. 173150.000000000000
B. 200000
C. 173150
D. 173150.0
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 measuring tape with a precision of +/- 0.3 meters measures a distance of 43.4 meters and a measuring flask with a precision of +/- 0.04 liters measures a volume as 0.31 liters. You divide the two numbers with a calculator and get the solution 140.000000000000. When this solution is reported to the proper number of significant figures, what do we get?
A. 140.00 meters/liter
B. 140 meters/liter
C. 140.000000000000 meters/liter
D. 140.0 meters/liter
Answer:


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

A timer with a precision of +/- 0.04 seconds takes a measurement of 0.04 seconds, and a radar-based method with a precision of +/- 3 meters measures a distance as 70 meters. You multiply the former value by the latter with a computer and get the solution 2.800000000000. Round this solution using the proper number of significant figures.
A. 2 meter-seconds
B. 2.8 meter-seconds
C. 3 meter-seconds
D. 2.800000000000 meter-seconds
Answer:


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

A measuring rod with a precision of +/- 0.02 meters measures a distance of 0.66 meters and a balance with a precision of +/- 0.2 grams measures a mass as 62.4 grams. You multiply the first value by the second value with a calculator app and get the output 41.184000000000. How would this result look if we rounded it with the appropriate number of significant figures?
A. 41.18 gram-meters
B. 41 gram-meters
C. 41.184000000000 gram-meters
D. 41.2 gram-meters
Answer:


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

A meter stick with a precision of +/- 0.0003 meters takes a measurement of 0.9778 meters, and an opisometer with a precision of +/- 0.02 meters measures a distance between two different points as 0.07 meters. After dividing the former number by the latter your calculator app gets the solution 13.968571428571. If we report this solution suitably with respect to the number of significant figures, what is the answer?
A. 13.968571428571
B. 13.97
C. 10
D. 14.0
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 storage container with a precision of +/- 2 liters takes a measurement of 1104 liters, and a measuring flask with a precision of +/- 0.03 liters measures a volume of a different quantity of liquid as 48.38 liters. You multiply the first number by the second number with a calculator and get the output 53411.520000000000. How would this answer look if we reported it with the correct number of significant figures?
A. 53411.520000000000 liters^2
B. 53411 liters^2
C. 53411.5200 liters^2
D. 53410 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 measuring rod with a precision of +/- 0.03 meters takes a measurement of 34.24 meters, and a measuring tape with a precision of +/- 0.1 meters measures a distance between two different points as 42.4 meters. Using a calculator app, you multiply the two values and get the output 1451.776000000000. How would this answer look if we rounded it with the proper level of precision?
A. 1451.776 meters^2
B. 1451.8 meters^2
C. 1450 meters^2
D. 1451.776000000000 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 +/- 0.004 meters takes a measurement of 0.435 meters, and a rangefinder with a precision of +/- 0.004 meters reads 0.031 meters when measuring a distance between two different points. You divide the two numbers with a computer and get the solution 14.032258064516. If we write this solution properly with respect to the number of significant figures, what is the answer?
A. 14.03
B. 14.032
C. 14.032258064516
D. 14
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 20 liters takes a measurement of 40 liters, and a measuring stick with a precision of +/- 0.001 meters reads 6.175 meters when measuring a distance. Your calculator app yields the output 247.000000000000 when multiplying the first number by the second number. When this output is expressed to the right number of significant figures, what do we get?
A. 200 liter-meters
B. 240 liter-meters
C. 247.0 liter-meters
D. 247.000000000000 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 coincidence telemeter with a precision of +/- 300 meters measures a distance of 400 meters and a rangefinder with a precision of +/- 4 meters reads 3329 meters when measuring a distance between two different points. Your calculator gets the output 1331600.000000000000 when multiplying the first value by the second value. If we report this output to the right level of precision, what is the result?
A. 1331600 meters^2
B. 1331600.0 meters^2
C. 1000000 meters^2
D. 1331600.000000000000 meters^2
Answer:


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

A radar-based method with a precision of +/- 100 meters measures a distance of 19000 meters and a chronometer with a precision of +/- 0.0004 seconds reads 0.0103 seconds when measuring a duration. After multiplying the numbers your calculator app gets the output 195.700000000000. Using the proper level of precision, what is the answer?
A. 195.700000000000 meter-seconds
B. 100 meter-seconds
C. 195.700 meter-seconds
D. 196 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 +/- 10 grams measures a mass of 8350 grams and a storage container with a precision of +/- 3 liters measures a volume as 717 liters. After dividing the two values your calculator app produces the solution 11.645746164575. When this solution is reported to the appropriate level of precision, what do we get?
A. 10 grams/liter
B. 11.645746164575 grams/liter
C. 11.646 grams/liter
D. 11.6 grams/liter
Answer:


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

A hydraulic scale with a precision of +/- 1000 grams measures a mass of 9587000 grams and a cathetometer with a precision of +/- 0.00002 meters reads 0.08084 meters when measuring a distance. You divide the former value by the latter with a calculator and get the solution 118592281.048985650668. If we report this solution appropriately with respect to the number of significant figures, what is the answer?
A. 118592281.0490 grams/meter
B. 118592000 grams/meter
C. 118592281.048985650668 grams/meter
D. 118600000 grams/meter
Answer:


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

A measuring flask with a precision of +/- 0.01 liters takes a measurement of 0.17 liters, and a balance with a precision of +/- 100 grams measures a mass as 2300 grams. After multiplying the two numbers your calculator produces the solution 391.000000000000. Using the suitable level of precision, what is the answer?
A. 391.000000000000 gram-liters
B. 300 gram-liters
C. 391.00 gram-liters
D. 390 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 radar-based method with a precision of +/- 1 meters takes a measurement of 10 meters, and a meter stick with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0003 meters. Using a calculator, you divide the first number by the second number and get the output 33333.333333333333. Write this output using the suitable level of precision.
A. 30000
B. 33333.3
C. 33333
D. 33333.333333333333
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 7367000 meters and an analytical balance with a precision of +/- 0.001 grams reads 0.023 grams when measuring a mass. You multiply the two numbers with a calculator and get the solution 169441.000000000000. If we report this solution appropriately with respect to the level of precision, what is the result?
A. 169441.000000000000 gram-meters
B. 170000 gram-meters
C. 169000 gram-meters
D. 169441.00 gram-meters
Answer:


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

A measuring stick with a precision of +/- 0.001 meters takes a measurement of 0.087 meters, and a ruler with a precision of +/- 0.001 meters measures a distance between two different points as 0.007 meters. You divide the first value by the second value with a calculator and get the solution 12.428571428571. How would this result look if we rounded it with the appropriate number of significant figures?
A. 12.4
B. 12.429
C. 10
D. 12.428571428571
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.004 meters measures a distance of 8.579 meters and a cathetometer with a precision of +/- 0.00002 meters measures a distance between two different points as 0.00002 meters. You divide the numbers with a computer and get the output 428950.000000000000. How would this answer look if we wrote it with the suitable level of precision?
A. 428950.0
B. 428950.000
C. 400000
D. 428950.000000000000
Answer:


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

A graduated cylinder with a precision of +/- 0.001 liters measures a volume of 0.003 liters and a spring scale with a precision of +/- 2 grams measures a mass as 852 grams. Using a computer, you multiply the first number by the second number and get the solution 2.556000000000. How can we round this solution to the correct level of precision?
A. 2.556000000000 gram-liters
B. 3 gram-liters
C. 2.6 gram-liters
D. 2 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 +/- 300 meters takes a measurement of 78300 meters, and a radar-based method with a precision of +/- 10 meters reads 1210 meters when measuring a distance between two different points. You multiply the two values with a calculator and get the solution 94743000.000000000000. If we express this solution properly with respect to the level of precision, what is the answer?
A. 94743000 meters^2
B. 94743000.000000000000 meters^2
C. 94743000.000 meters^2
D. 94700000 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 +/- 400 meters takes a measurement of 745900 meters, and a radar-based method with a precision of +/- 30 meters reads 530 meters when measuring a distance between two different points. Using a calculator, you multiply the former number by the latter and get the output 395327000.000000000000. Using the correct number of significant figures, what is the answer?
A. 395327000.00 meters^2
B. 395327000.000000000000 meters^2
C. 400000000 meters^2
D. 395327000 meters^2
Answer: