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

A coincidence telemeter with a precision of +/- 4 meters measures a distance of 79 meters and an opisometer with a precision of +/- 2 meters reads 106 meters when measuring a distance between two different points. You multiply the numbers with a computer and get the solution 8374.000000000000. Express this solution using the appropriate level of precision.
A. 8400 meters^2
B. 8374.000000000000 meters^2
C. 8374.00 meters^2
D. 8374 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 +/- 2 meters takes a measurement of 5576 meters, and a storage container with a precision of +/- 0.4 liters reads 809.8 liters when measuring a volume. Your computer produces the output 4515444.800000000000 when multiplying the former value by the latter. If we express this output correctly with respect to the number of significant figures, what is the answer?
A. 4515000 liter-meters
B. 4515444 liter-meters
C. 4515444.8000 liter-meters
D. 4515444.800000000000 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 +/- 1000 meters takes a measurement of 143000 meters, and a cathetometer with a precision of +/- 0.0001 meters reads 0.0450 meters when measuring a distance between two different points. Your calculator app yields the solution 6435.000000000000 when multiplying the former value by the latter. How would this result look if we wrote it with the appropriate number of significant figures?
A. 6440 meters^2
B. 6435.000000000000 meters^2
C. 6000 meters^2
D. 6435.000 meters^2
Answer:


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

A rangefinder with a precision of +/- 0.4 meters takes a measurement of 55.1 meters, and a Biltmore stick with a precision of +/- 0.4 meters measures a distance between two different points as 9.1 meters. Using a computer, you multiply the first number by the second number and get the output 501.410000000000. If we round this output correctly with respect to the number of significant figures, what is the result?
A. 500 meters^2
B. 501.41 meters^2
C. 501.410000000000 meters^2
D. 501.4 meters^2
Answer:


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

A chronograph with a precision of +/- 0.04 seconds measures a duration of 45.15 seconds and a hydraulic scale with a precision of +/- 4000 grams reads 86000 grams when measuring a mass. You multiply the values with a computer and get the output 3882900.000000000000. Using the appropriate level of precision, what is the result?
A. 3882900.000000000000 gram-seconds
B. 3882900.00 gram-seconds
C. 3900000 gram-seconds
D. 3882000 gram-seconds
Answer:


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

A measuring rod with a precision of +/- 0.03 meters takes a measurement of 46.29 meters, and a stopwatch with a precision of +/- 0.01 seconds reads 0.07 seconds when measuring a duration. Using a computer, you multiply the former value by the latter and get the solution 3.240300000000. Report this solution using the appropriate level of precision.
A. 3.24 meter-seconds
B. 3 meter-seconds
C. 3.2 meter-seconds
D. 3.240300000000 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 stadimeter with a precision of +/- 100 meters takes a measurement of 300 meters, and a hydraulic scale with a precision of +/- 300 grams reads 52500 grams when measuring a mass. Using a computer, you multiply the first number by the second number and get the solution 15750000.000000000000. How would this answer look if we rounded it with the right number of significant figures?
A. 20000000 gram-meters
B. 15750000.0 gram-meters
C. 15750000.000000000000 gram-meters
D. 15750000 gram-meters
Answer:


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

A balance with a precision of +/- 100 grams measures a mass of 1100 grams and a storage container with a precision of +/- 0.1 liters measures a volume as 0.6 liters. You multiply the former number by the latter with a computer and get the output 660.000000000000. How would this answer look if we rounded it with the proper level of precision?
A. 600 gram-liters
B. 700 gram-liters
C. 660.0 gram-liters
D. 660.000000000000 gram-liters
Answer:


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

A balance with a precision of +/- 30 grams takes a measurement of 10800 grams, and a tape measure with a precision of +/- 0.001 meters measures a distance as 0.001 meters. After dividing the numbers your calculator app yields the output 10800000.000000000000. Using the suitable number of significant figures, what is the result?
A. 10800000 grams/meter
B. 10800000.000000000000 grams/meter
C. 10000000 grams/meter
D. 10800000.0 grams/meter
Answer:


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

A caliper with a precision of +/- 0.003 meters takes a measurement of 0.010 meters, and a balance with a precision of +/- 200 grams reads 32500 grams when measuring a mass. You multiply the former value by the latter with a calculator and get the solution 325.000000000000. If we report this solution correctly with respect to the level of precision, what is the result?
A. 325.000000000000 gram-meters
B. 300 gram-meters
C. 320 gram-meters
D. 325.00 gram-meters
Answer:


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

A timer with a precision of +/- 0.1 seconds measures a duration of 6.0 seconds and a storage container with a precision of +/- 0.2 liters reads 287.9 liters when measuring a volume. Using a calculator app, you multiply the two values and get the solution 1727.400000000000. Write this solution using the proper number of significant figures.
A. 1727.400000000000 liter-seconds
B. 1727.40 liter-seconds
C. 1700 liter-seconds
D. 1727.4 liter-seconds
Answer:


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

A caliper with a precision of +/- 0.002 meters measures a distance of 0.607 meters and a chronometer with a precision of +/- 0.00002 seconds measures a duration as 0.00006 seconds. Your computer gets the solution 10116.666666666667 when dividing the first value by the second value. When this solution is written to the proper level of precision, what do we get?
A. 10116.666666666667 meters/second
B. 10116.667 meters/second
C. 10116.7 meters/second
D. 10000 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 takes a measurement of 92.0 meters, and an opisometer with a precision of +/- 2 meters reads 6 meters when measuring a distance between two different points. Using a computer, you multiply the values and get the output 552.000000000000. Report this output using the proper number of significant figures.
A. 552.000000000000 meters^2
B. 600 meters^2
C. 552 meters^2
D. 552.0 meters^2
Answer:


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

A hydraulic scale with a precision of +/- 4 grams takes a measurement of 73 grams, and a coincidence telemeter with a precision of +/- 3 meters reads 54 meters when measuring a distance. Using a calculator, you divide the former value by the latter and get the output 1.351851851852. When this output is expressed to the suitable number of significant figures, what do we get?
A. 1.35 grams/meter
B. 1.351851851852 grams/meter
C. 1 grams/meter
D. 1.4 grams/meter
Answer:


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

A storage container with a precision of +/- 20 liters takes a measurement of 9890 liters, and a timer with a precision of +/- 0.001 seconds measures a duration as 9.195 seconds. Your computer produces the solution 1075.584556824361 when dividing the two numbers. Write this solution using the proper level of precision.
A. 1075.584556824361 liters/second
B. 1070 liters/second
C. 1075.585 liters/second
D. 1080 liters/second
Answer:


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

A ruler with a precision of +/- 0.2 meters measures a distance of 47.3 meters and an odometer with a precision of +/- 4000 meters reads 44000 meters when measuring a distance between two different points. You multiply the former value by the latter with a calculator app and get the output 2081200.000000000000. How can we express this output to the right number of significant figures?
A. 2081200.00 meters^2
B. 2081000 meters^2
C. 2100000 meters^2
D. 2081200.000000000000 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 coincidence telemeter with a precision of +/- 2 meters takes a measurement of 68 meters, and a storage container with a precision of +/- 40 liters measures a volume as 60 liters. Using a calculator app, you multiply the numbers and get the output 4080.000000000000. Express this output using the right level of precision.
A. 4080 liter-meters
B. 4000 liter-meters
C. 4080.0 liter-meters
D. 4080.000000000000 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).
---

An opisometer with a precision of +/- 0.01 meters takes a measurement of 88.85 meters, and a chronometer with a precision of +/- 0.00003 seconds measures a duration as 0.00546 seconds. Using a calculator, you divide the first value by the second value and get the solution 16272.893772893773. How can we round this solution to the right level of precision?
A. 16272.89 meters/second
B. 16272.893772893773 meters/second
C. 16300 meters/second
D. 16272.894 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 +/- 0.02 meters measures a distance of 0.98 meters and a radar-based method with a precision of +/- 2 meters measures a distance between two different points as 2671 meters. After multiplying the first value by the second value your computer gives the solution 2617.580000000000. How would this answer look if we wrote it with the suitable level of precision?
A. 2600 meters^2
B. 2617 meters^2
C. 2617.58 meters^2
D. 2617.580000000000 meters^2
Answer:


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

A stadimeter with a precision of +/- 4 meters measures a distance of 4938 meters and a stopwatch with a precision of +/- 0.01 seconds reads 4.63 seconds when measuring a duration. Using a computer, you multiply the first number by the second number and get the solution 22862.940000000000. Using the correct level of precision, what is the answer?
A. 22900 meter-seconds
B. 22862.940 meter-seconds
C. 22862.940000000000 meter-seconds
D. 22862 meter-seconds
Answer:


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

A radar-based method with a precision of +/- 4 meters takes a measurement of 3017 meters, and a caliper with a precision of +/- 0.01 meters reads 41.78 meters when measuring a distance between two different points. After multiplying the two values your calculator app gives the solution 126050.260000000000. Using the right number of significant figures, what is the answer?
A. 126050.2600 meters^2
B. 126050.260000000000 meters^2
C. 126100 meters^2
D. 126050 meters^2
Answer:


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

A stopwatch with a precision of +/- 0.4 seconds takes a measurement of 0.3 seconds, and a stadimeter with a precision of +/- 10 meters reads 4180 meters when measuring a distance. Your calculator yields the solution 1254.000000000000 when multiplying the numbers. If we express this solution to the proper number of significant figures, what is the result?
A. 1000 meter-seconds
B. 1254.0 meter-seconds
C. 1250 meter-seconds
D. 1254.000000000000 meter-seconds
Answer:


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

A radar-based method with a precision of +/- 2 meters takes a measurement of 134 meters, and a stadimeter with a precision of +/- 4 meters measures a distance between two different points as 16 meters. Using a calculator, you divide the former value by the latter and get the solution 8.375000000000. If we express this solution appropriately with respect to the number of significant figures, what is the answer?
A. 8.38
B. 8.4
C. 8.375000000000
D. 8
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 413000 meters, and a radar-based method with a precision of +/- 400 meters reads 961500 meters when measuring a distance between two different points. You multiply the values with a calculator and get the output 397099500000.000000000000. If we report this output suitably with respect to the number of significant figures, what is the result?
A. 397099500000 meters^2
B. 397099500000.000 meters^2
C. 397099500000.000000000000 meters^2
D. 397000000000 meters^2
Answer:


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

A ruler with a precision of +/- 0.0003 meters takes a measurement of 0.0491 meters, and a chronometer with a precision of +/- 0.00001 seconds measures a duration as 0.00044 seconds. After dividing the former number by the latter your calculator app produces the solution 111.590909090909. Using the right number of significant figures, what is the answer?
A. 111.5909 meters/second
B. 111.59 meters/second
C. 111.590909090909 meters/second
D. 110 meters/second
Answer:


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

A biltmore stick with a precision of +/- 0.01 meters measures a distance of 0.05 meters and an analytical balance with a precision of +/- 0.001 grams reads 0.017 grams when measuring a mass. Your calculator app yields the output 2.941176470588 when dividing the two values. If we round this output to the right number of significant figures, what is the answer?
A. 2.94 meters/gram
B. 3 meters/gram
C. 2.9 meters/gram
D. 2.941176470588 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 radar-based method with a precision of +/- 30 meters measures a distance of 94610 meters and a balance with a precision of +/- 0.04 grams reads 0.85 grams when measuring a mass. After multiplying the former number by the latter your calculator gives the solution 80418.500000000000. When this solution is rounded to the right number of significant figures, what do we get?
A. 80418.50 gram-meters
B. 80418.500000000000 gram-meters
C. 80410 gram-meters
D. 80000 gram-meters
Answer:


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

A hydraulic scale with a precision of +/- 40 grams measures a mass of 660 grams and a chronograph with a precision of +/- 0.1 seconds reads 0.5 seconds when measuring a duration. After dividing the former value by the latter your calculator app gives the output 1320.000000000000. Write this output using the correct number of significant figures.
A. 1320.000000000000 grams/second
B. 1320.0 grams/second
C. 1000 grams/second
D. 1320 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 balance with a precision of +/- 40 grams measures a mass of 730 grams and an odometer with a precision of +/- 100 meters measures a distance as 245500 meters. Your computer yields the solution 179215000.000000000000 when multiplying the two values. If we write this solution properly with respect to the level of precision, what is the answer?
A. 179215000.00 gram-meters
B. 179215000.000000000000 gram-meters
C. 180000000 gram-meters
D. 179215000 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 tape with a precision of +/- 0.02 meters takes a measurement of 0.09 meters, and a coincidence telemeter with a precision of +/- 40 meters reads 40450 meters when measuring a distance between two different points. You multiply the former number by the latter with a calculator and get the output 3640.500000000000. If we write this output properly with respect to the number of significant figures, what is the answer?
A. 3640.500000000000 meters^2
B. 3640 meters^2
C. 4000 meters^2
D. 3640.5 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 meter stick with a precision of +/- 0.0004 meters takes a measurement of 0.0863 meters, and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.010 liters. You divide the first value by the second value with a calculator app and get the output 8.630000000000. If we report this output to the correct level of precision, what is the answer?
A. 8.6 meters/liter
B. 8.630 meters/liter
C. 8.63 meters/liter
D. 8.630000000000 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 spring scale with a precision of +/- 2000 grams measures a mass of 67000 grams and a chronograph with a precision of +/- 0.04 seconds reads 0.58 seconds when measuring a duration. After dividing the values your calculator app produces the solution 115517.241379310345. When this solution is expressed to the suitable level of precision, what do we get?
A. 115517.24 grams/second
B. 115000 grams/second
C. 115517.241379310345 grams/second
D. 120000 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 meter stick with a precision of +/- 0.0002 meters measures a distance of 0.0085 meters and a cathetometer with a precision of +/- 0.0001 meters measures a distance between two different points as 0.4202 meters. After dividing the numbers your calculator app gets the output 0.020228462637. If we express this output to the right number of significant figures, what is the answer?
A. 0.0202
B. 0.020228462637
C. 0.02
D. 0.020
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 measures a distance of 489.4 meters and a measuring stick with a precision of +/- 0.003 meters reads 7.320 meters when measuring a distance between two different points. Your calculator produces the output 66.857923497268 when dividing the first value by the second value. Express this output using the suitable number of significant figures.
A. 66.857923497268
B. 66.86
C. 66.9
D. 66.8579
Answer:


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

A caliper with a precision of +/- 0.04 meters measures a distance of 0.57 meters and a timer with a precision of +/- 0.01 seconds reads 0.03 seconds when measuring a duration. Using a calculator app, you divide the former number by the latter and get the solution 19.000000000000. Round this solution using the correct level of precision.
A. 19.00 meters/second
B. 20 meters/second
C. 19.000000000000 meters/second
D. 19.0 meters/second
Answer:


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

A measuring tape with a precision of +/- 0.4 meters takes a measurement of 85.9 meters, and a chronograph with a precision of +/- 0.03 seconds reads 82.93 seconds when measuring a duration. Using a computer, you divide the former value by the latter and get the solution 1.035813336549. How would this result look if we reported it with the suitable number of significant figures?
A. 1.035813336549 meters/second
B. 1.0 meters/second
C. 1.04 meters/second
D. 1.036 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).
---

An odometer with a precision of +/- 2000 meters measures a distance of 3886000 meters and a clickwheel with a precision of +/- 0.004 meters reads 6.450 meters when measuring a distance between two different points. Your calculator yields the output 25064700.000000000000 when multiplying the former value by the latter. If we write this output suitably with respect to the number of significant figures, what is the result?
A. 25064700.0000 meters^2
B. 25060000 meters^2
C. 25064700.000000000000 meters^2
D. 25064000 meters^2
Answer:


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

A storage container with a precision of +/- 1 liters takes a measurement of 146 liters, and a hydraulic scale with a precision of +/- 100 grams measures a mass as 700 grams. After multiplying the first value by the second value your calculator app gets the output 102200.000000000000. When this output is expressed to the appropriate number of significant figures, what do we get?
A. 100000 gram-liters
B. 102200 gram-liters
C. 102200.000000000000 gram-liters
D. 102200.0 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 storage container with a precision of +/- 20 liters takes a measurement of 11360 liters, and a caliper with a precision of +/- 0.03 meters measures a distance as 0.10 meters. Using a calculator, you multiply the first value by the second value and get the solution 1136.000000000000. How would this answer look if we wrote it with the suitable level of precision?
A. 1130 liter-meters
B. 1100 liter-meters
C. 1136.000000000000 liter-meters
D. 1136.00 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 radar-based method with a precision of +/- 10 meters measures a distance of 170 meters and a rangefinder with a precision of +/- 4 meters measures a distance between two different points as 37 meters. You multiply the values with a calculator and get the solution 6290.000000000000. If we round this solution appropriately with respect to the number of significant figures, what is the answer?
A. 6290.00 meters^2
B. 6300 meters^2
C. 6290.000000000000 meters^2
D. 6290 meters^2
Answer:


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

A stadimeter with a precision of +/- 0.3 meters measures a distance of 774.1 meters and a measuring rod with a precision of +/- 0.01 meters reads 0.33 meters when measuring a distance between two different points. After multiplying the former number by the latter your calculator gives the output 255.453000000000. When this output is written to the right level of precision, what do we get?
A. 255.5 meters^2
B. 260 meters^2
C. 255.453000000000 meters^2
D. 255.45 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 measures a distance of 1.990 meters and a meter stick with a precision of +/- 0.0004 meters reads 0.0001 meters when measuring a distance between two different points. You divide the first value by the second value with a calculator and get the solution 19900.000000000000. Using the correct level of precision, what is the answer?
A. 20000
B. 19900.000000000000
C. 19900.0
D. 19900.000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 3 grams takes a measurement of 9613 grams, and a ruler with a precision of +/- 0.001 meters measures a distance as 0.002 meters. After multiplying the former number by the latter your computer gets the solution 19.226000000000. Write this solution using the appropriate level of precision.
A. 19.2 gram-meters
B. 19.226000000000 gram-meters
C. 19 gram-meters
D. 20 gram-meters
Answer:


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

A balance with a precision of +/- 0.0001 grams measures a mass of 0.6918 grams and a cathetometer with a precision of +/- 0.00001 meters reads 0.00022 meters when measuring a distance. Using a calculator app, you divide the numbers and get the output 3144.545454545455. How would this answer look if we reported it with the correct level of precision?
A. 3144.5455 grams/meter
B. 3144.55 grams/meter
C. 3100 grams/meter
D. 3144.545454545455 grams/meter
Answer:


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

A radar-based method with a precision of +/- 4 meters takes a measurement of 251 meters, and a Biltmore stick with a precision of +/- 0.3 meters reads 17.0 meters when measuring a distance between two different points. Using a calculator, you divide the former number by the latter and get the solution 14.764705882353. When this solution is reported to the right number of significant figures, what do we get?
A. 14
B. 14.765
C. 14.764705882353
D. 14.8
Answer:


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

A timer with a precision of +/- 0.001 seconds takes a measurement of 6.020 seconds, and a measuring flask with a precision of +/- 0.001 liters measures a volume as 2.073 liters. Using a calculator, you multiply the two numbers and get the output 12.479460000000. How can we write this output to the proper number of significant figures?
A. 12.479460000000 liter-seconds
B. 12.479 liter-seconds
C. 12.48 liter-seconds
D. 12.4795 liter-seconds
Answer:


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

A ruler with a precision of +/- 0.1 meters measures a distance of 0.5 meters and a balance with a precision of +/- 1 grams measures a mass as 683 grams. After multiplying the two numbers your calculator gets the solution 341.500000000000. Using the appropriate level of precision, what is the answer?
A. 341.5 gram-meters
B. 341.500000000000 gram-meters
C. 341 gram-meters
D. 300 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 tape measure with a precision of +/- 0.002 meters takes a measurement of 6.690 meters, and a measuring flask with a precision of +/- 0.001 liters reads 0.010 liters when measuring a volume. You divide the first number by the second number with a calculator and get the output 669.000000000000. How can we express this output to the appropriate number of significant figures?
A. 670 meters/liter
B. 669.000000000000 meters/liter
C. 669.00 meters/liter
D. 669.000 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 meter stick with a precision of +/- 0.0004 meters takes a measurement of 0.6558 meters, and a measuring flask with a precision of +/- 0.03 liters reads 14.42 liters when measuring a volume. You divide the former number by the latter with a calculator and get the output 0.045478502080. If we express this output to the proper number of significant figures, what is the result?
A. 0.045478502080 meters/liter
B. 0.05 meters/liter
C. 0.04548 meters/liter
D. 0.0455 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 +/- 0.1 grams takes a measurement of 5.4 grams, and a stopwatch with a precision of +/- 0.02 seconds reads 80.84 seconds when measuring a duration. You divide the first value by the second value with a computer and get the output 0.066798614547. When this output is expressed to the correct number of significant figures, what do we get?
A. 0.066798614547 grams/second
B. 0.1 grams/second
C. 0.067 grams/second
D. 0.07 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 chronograph with a precision of +/- 0.04 seconds takes a measurement of 3.78 seconds, and a hydraulic scale with a precision of +/- 2000 grams measures a mass as 88000 grams. You multiply the two values with a computer and get the solution 332640.000000000000. If we round this solution to the suitable level of precision, what is the result?
A. 332000 gram-seconds
B. 332640.00 gram-seconds
C. 332640.000000000000 gram-seconds
D. 330000 gram-seconds
Answer:


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

A measuring stick with a precision of +/- 0.4 meters measures a distance of 288.1 meters and a chronometer with a precision of +/- 0.00001 seconds reads 0.00435 seconds when measuring a duration. After multiplying the values your calculator gives the output 1.253235000000. How would this answer look if we wrote it with the suitable number of significant figures?
A. 1.253 meter-seconds
B. 1.25 meter-seconds
C. 1.253235000000 meter-seconds
D. 1.3 meter-seconds
Answer:


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

A measuring rod with a precision of +/- 0.03 meters takes a measurement of 0.28 meters, and a stopwatch with a precision of +/- 0.2 seconds measures a duration as 131.3 seconds. After multiplying the two values your calculator app yields the output 36.764000000000. Using the suitable level of precision, what is the answer?
A. 36.76 meter-seconds
B. 36.764000000000 meter-seconds
C. 36.8 meter-seconds
D. 37 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 caliper with a precision of +/- 0.02 meters takes a measurement of 0.65 meters, and a radar-based method with a precision of +/- 3 meters reads 1018 meters when measuring a distance between two different points. After multiplying the values your computer yields the solution 661.700000000000. When this solution is expressed to the appropriate level of precision, what do we get?
A. 661.700000000000 meters^2
B. 661 meters^2
C. 661.70 meters^2
D. 660 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 0.087 grams and a rangefinder with a precision of +/- 0.0003 meters measures a distance as 0.0818 meters. After dividing the former number by the latter your calculator gives the output 1.063569682152. How can we write this output to the correct level of precision?
A. 1.064 grams/meter
B. 1.06 grams/meter
C. 1.1 grams/meter
D. 1.063569682152 grams/meter
Answer:


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

A radar-based method with a precision of +/- 40 meters takes a measurement of 780 meters, and a Biltmore stick with a precision of +/- 0.01 meters reads 74.72 meters when measuring a distance between two different points. Using a calculator app, you multiply the numbers and get the output 58281.600000000000. If we express this output to the suitable number of significant figures, what is the answer?
A. 58281.600000000000 meters^2
B. 58280 meters^2
C. 58281.60 meters^2
D. 58000 meters^2
Answer:


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

A hydraulic scale with a precision of +/- 100 grams takes a measurement of 24700 grams, and a spring scale with a precision of +/- 2000 grams reads 6000 grams when measuring a mass of a different object. Your computer produces the output 148200000.000000000000 when multiplying the former value by the latter. Using the right number of significant figures, what is the answer?
A. 100000000 grams^2
B. 148200000.0 grams^2
C. 148200000.000000000000 grams^2
D. 148200000 grams^2
Answer:


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

A stopwatch with a precision of +/- 0.03 seconds measures a duration of 50.20 seconds and a chronograph with a precision of +/- 0.4 seconds measures a duration of a different event as 1.0 seconds. You multiply the numbers with a calculator app and get the output 50.200000000000. Using the correct level of precision, what is the answer?
A. 50.20 seconds^2
B. 50 seconds^2
C. 50.2 seconds^2
D. 50.200000000000 seconds^2
Answer:


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

A timer with a precision of +/- 0.3 seconds measures a duration of 518.6 seconds and a clickwheel with a precision of +/- 0.002 meters reads 0.028 meters when measuring a distance. Your computer produces the solution 18521.428571428571 when dividing the two numbers. How would this answer look if we rounded it with the appropriate number of significant figures?
A. 18521.4 seconds/meter
B. 18521.43 seconds/meter
C. 18521.428571428571 seconds/meter
D. 19000 seconds/meter
Answer:


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

A coincidence telemeter with a precision of +/- 10 meters takes a measurement of 110 meters, and a balance with a precision of +/- 0.4 grams reads 1.7 grams when measuring a mass. After dividing the values your calculator gets the solution 64.705882352941. If we round this solution correctly with respect to the level of precision, what is the result?
A. 65 meters/gram
B. 64.71 meters/gram
C. 64.705882352941 meters/gram
D. 60 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 clickwheel with a precision of +/- 0.2 meters takes a measurement of 553.7 meters, and a storage container with a precision of +/- 30 liters reads 250 liters when measuring a volume. You multiply the two values with a calculator and get the output 138425.000000000000. If we report this output to the suitable level of precision, what is the answer?
A. 138420 liter-meters
B. 138425.000000000000 liter-meters
C. 138425.00 liter-meters
D. 140000 liter-meters
Answer:


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

A measuring stick with a precision of +/- 0.4 meters measures a distance of 4.6 meters and an analytical balance with a precision of +/- 0.1 grams measures a mass as 80.0 grams. Using a calculator, you divide the values and get the output 0.057500000000. How would this answer look if we wrote it with the appropriate number of significant figures?
A. 0.1 meters/gram
B. 0.06 meters/gram
C. 0.058 meters/gram
D. 0.057500000000 meters/gram
Answer:


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

An opisometer with a precision of +/- 0.4 meters takes a measurement of 0.8 meters, and a coincidence telemeter with a precision of +/- 200 meters measures a distance between two different points as 8200 meters. Using a calculator app, you multiply the numbers and get the output 6560.000000000000. If we round this output suitably with respect to the level of precision, what is the result?
A. 6560.0 meters^2
B. 6500 meters^2
C. 7000 meters^2
D. 6560.000000000000 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).
---

An odometer with a precision of +/- 300 meters measures a distance of 38900 meters and a measuring stick with a precision of +/- 0.3 meters measures a distance between two different points as 58.4 meters. Your calculator gets the solution 666.095890410959 when dividing the first number by the second number. Using the appropriate level of precision, what is the answer?
A. 666
B. 600
C. 666.096
D. 666.095890410959
Answer:


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

A stopwatch with a precision of +/- 0.1 seconds measures a duration of 744.8 seconds and a radar-based method with a precision of +/- 200 meters reads 34400 meters when measuring a distance. Using a computer, you multiply the numbers and get the output 25621120.000000000000. Express this output using the suitable number of significant figures.
A. 25600000 meter-seconds
B. 25621100 meter-seconds
C. 25621120.000000000000 meter-seconds
D. 25621120.000 meter-seconds
Answer:


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

A biltmore stick with a precision of +/- 0.04 meters takes a measurement of 0.74 meters, and a Biltmore stick with a precision of +/- 0.2 meters measures a distance between two different points as 465.7 meters. After multiplying the two numbers your calculator app gives the solution 344.618000000000. How can we write this solution to the suitable level of precision?
A. 344.618000000000 meters^2
B. 344.62 meters^2
C. 340 meters^2
D. 344.6 meters^2
Answer:


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

An analytical balance with a precision of +/- 0.3 grams takes a measurement of 3.0 grams, and a balance with a precision of +/- 0.2 grams reads 76.8 grams when measuring a mass of a different object. You multiply the values with a calculator and get the output 230.400000000000. How can we express this output to the proper level of precision?
A. 230 grams^2
B. 230.400000000000 grams^2
C. 230.40 grams^2
D. 230.4 grams^2
Answer:


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

A coincidence telemeter with a precision of +/- 30 meters measures a distance of 10 meters and a chronograph with a precision of +/- 0.002 seconds measures a duration as 0.084 seconds. You divide the two numbers with a calculator app and get the output 119.047619047619. If we express this output suitably with respect to the number of significant figures, what is the result?
A. 100 meters/second
B. 119.047619047619 meters/second
C. 119.0 meters/second
D. 110 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 chronometer with a precision of +/- 0.0003 seconds measures a duration of 0.0075 seconds and a stadimeter with a precision of +/- 3 meters measures a distance as 3046 meters. You multiply the first number by the second number with a calculator and get the solution 22.845000000000. Using the correct level of precision, what is the answer?
A. 23 meter-seconds
B. 22.845000000000 meter-seconds
C. 22 meter-seconds
D. 22.84 meter-seconds
Answer:


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

A radar-based method with a precision of +/- 100 meters measures a distance of 602800 meters and a measuring rod with a precision of +/- 0.001 meters measures a distance between two different points as 0.434 meters. Your calculator app produces the output 1388940.092165898618 when dividing the former number by the latter. If we report this output suitably with respect to the number of significant figures, what is the result?
A. 1388940.092165898618
B. 1390000
C. 1388940.092
D. 1388900
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.003 seconds takes a measurement of 0.065 seconds, and a measuring rod with a precision of +/- 0.001 meters measures a distance as 0.010 meters. Your computer produces the output 6.500000000000 when dividing the two values. Round this output using the correct number of significant figures.
A. 6.50 seconds/meter
B. 6.500000000000 seconds/meter
C. 6.500 seconds/meter
D. 6.5 seconds/meter
Answer:


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

A balance with a precision of +/- 400 grams measures a mass of 846200 grams and a graduated cylinder with a precision of +/- 0.001 liters reads 1.862 liters when measuring a volume. Your computer gets the solution 454457.572502685285 when dividing the first value by the second value. If we write this solution to the correct level of precision, what is the answer?
A. 454400 grams/liter
B. 454500 grams/liter
C. 454457.5725 grams/liter
D. 454457.572502685285 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 clickwheel with a precision of +/- 0.4 meters takes a measurement of 53.0 meters, and an odometer with a precision of +/- 3000 meters reads 5000 meters when measuring a distance between two different points. After multiplying the first value by the second value your calculator app gets the output 265000.000000000000. Round this output using the correct number of significant figures.
A. 265000.0 meters^2
B. 265000 meters^2
C. 265000.000000000000 meters^2
D. 300000 meters^2
Answer:


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

A rangefinder with a precision of +/- 0.002 meters takes a measurement of 0.095 meters, and a ruler with a precision of +/- 0.003 meters reads 0.007 meters when measuring a distance between two different points. You divide the first value by the second value with a calculator app and get the output 13.571428571429. How would this answer look if we expressed it with the suitable number of significant figures?
A. 13.6
B. 10
C. 13.571
D. 13.571428571429
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.002 liters measures a volume of 6.321 liters and a meter stick with a precision of +/- 0.0003 meters reads 0.0003 meters when measuring a distance. After dividing the numbers your computer produces the solution 21070.000000000000. How can we report this solution to the correct level of precision?
A. 21070.000000000000 liters/meter
B. 20000 liters/meter
C. 21070.000 liters/meter
D. 21070.0 liters/meter
Answer: