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

A chronometer with a precision of +/- 0.0004 seconds takes a measurement of 0.1403 seconds, and a chronometer with a precision of +/- 0.0002 seconds measures a duration of a different event as 0.0531 seconds. Using a calculator app, you divide the two values and get the solution 2.642184557439. When this solution is rounded to the appropriate level of precision, what do we get?
A. 2.642184557439
B. 2.642
C. 2.64
D. 2.6422
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 takes a measurement of 0.061 liters, and a radar-based method with a precision of +/- 400 meters measures a distance as 903600 meters. Your computer produces the solution 55119.600000000000 when multiplying the former value by the latter. How would this result look if we rounded it with the right number of significant digits?
A. 55000 liter-meters
B. 55119.60 liter-meters
C. 55119.600000000000 liter-meters
D. 55100 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 0.9 meters, and a measuring tape with a precision of +/- 0.02 meters reads 0.06 meters when measuring a distance between two different points. Your computer produces the solution 15.000000000000 when dividing the first number by the second number. If we express this solution to the correct number of significant digits, what is the answer?
A. 15.0
B. 15.000000000000
C. 20
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.04 meters measures a distance of 72.50 meters and a measuring tape with a precision of +/- 0.02 meters reads 3.81 meters when measuring a distance between two different points. Your computer gives the solution 276.225000000000 when multiplying the first value by the second value. Round this solution using the suitable number of significant digits.
A. 276.225 meters^2
B. 276.22 meters^2
C. 276.225000000000 meters^2
D. 276 meters^2
Answer:


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

An odometer with a precision of +/- 300 meters takes a measurement of 320200 meters, and a radar-based method with a precision of +/- 40 meters measures a distance between two different points as 30 meters. After dividing the first value by the second value your computer yields the solution 10673.333333333333. Write this solution using the right number of significant digits.
A. 10673.3
B. 10000
C. 10600
D. 10673.333333333333
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 40 grams measures a mass of 30 grams and a Biltmore stick with a precision of +/- 0.1 meters reads 5.1 meters when measuring a distance. After dividing the former value by the latter your computer produces the output 5.882352941176. If we report this output to the suitable level of precision, what is the answer?
A. 5.882352941176 grams/meter
B. 5.9 grams/meter
C. 6 grams/meter
Answer:


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

A measuring tape with a precision of +/- 0.3 meters measures a distance of 962.8 meters and a measuring rod with a precision of +/- 0.03 meters reads 0.01 meters when measuring a distance between two different points. Using a computer, you multiply the numbers and get the output 9.628000000000. How would this answer look if we reported it with the correct level of precision?
A. 9.6 meters^2
B. 10 meters^2
C. 9.628000000000 meters^2
Answer:


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

A biltmore stick with a precision of +/- 0.4 meters takes a measurement of 12.8 meters, and an opisometer with a precision of +/- 1 meters reads 9084 meters when measuring a distance between two different points. Your computer gives the output 0.001409070894 when dividing the two values. How would this result look if we rounded it with the suitable level of precision?
A. 0.001
B. 0.001409070894
C. 0.00141
Answer:


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

A stopwatch with a precision of +/- 0.004 seconds takes a measurement of 0.064 seconds, and a timer with a precision of +/- 0.003 seconds measures a duration of a different event as 2.520 seconds. After dividing the two numbers your calculator gives the solution 0.025396825397. Report this solution using the right level of precision.
A. 0.025
B. 0.025396825397
C. 0.03
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 an opisometer with a precision of +/- 0.004 meters measures a distance between two different points as 4.561 meters. After multiplying the former value by the latter your calculator gives the output 4.469780000000. Report this output using the correct number of significant digits.
A. 4.469780000000 meters^2
B. 4.5 meters^2
C. 4.47 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 +/- 0.3 meters takes a measurement of 20.1 meters, and a stopwatch with a precision of +/- 0.003 seconds reads 0.014 seconds when measuring a duration. After multiplying the two values your calculator app produces the output 0.281400000000. Using the right number of significant digits, what is the result?
A. 0.3 meter-seconds
B. 0.28 meter-seconds
C. 0.281400000000 meter-seconds
Answer:


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

A timer with a precision of +/- 0.2 seconds takes a measurement of 4.6 seconds, and a hydraulic scale with a precision of +/- 0.004 grams measures a mass as 0.085 grams. Your computer produces the output 0.391000000000 when multiplying the two numbers. When this output is rounded to the suitable number of significant digits, what do we get?
A. 0.391000000000 gram-seconds
B. 0.39 gram-seconds
C. 0.4 gram-seconds
Answer:


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

A stopwatch with a precision of +/- 0.2 seconds measures a duration of 71.9 seconds and a caliper with a precision of +/- 0.001 meters reads 6.972 meters when measuring a distance. After dividing the first number by the second number your computer gives the solution 10.312679288583. If we report this solution to the suitable number of significant digits, what is the answer?
A. 10.3 seconds/meter
B. 10.313 seconds/meter
C. 10.312679288583 seconds/meter
Answer:


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

A meter stick with a precision of +/- 0.0001 meters takes a measurement of 0.0763 meters, and a spring scale with a precision of +/- 0.004 grams measures a mass as 0.065 grams. After multiplying the former number by the latter your computer yields the solution 0.004959500000. Write this solution using the appropriate number of significant digits.
A. 0.004959500000 gram-meters
B. 0.0050 gram-meters
C. 0.005 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.01 meters takes a measurement of 25.40 meters, and an analytical balance with a precision of +/- 0.0001 grams reads 0.4811 grams when measuring a mass. You divide the first number by the second number with a computer and get the output 52.795676574517. When this output is rounded to the right number of significant digits, what do we get?
A. 52.795676574517 meters/gram
B. 52.80 meters/gram
C. 52.7957 meters/gram
Answer:


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

A stadimeter with a precision of +/- 4 meters takes a measurement of 1 meters, and a graduated cylinder with a precision of +/- 0.001 liters reads 0.886 liters when measuring a volume. Your calculator produces the solution 1.128668171558 when dividing the two values. If we write this solution correctly with respect to the level of precision, what is the result?
A. 1 meters/liter
B. 1.1 meters/liter
C. 1.128668171558 meters/liter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 49500 meters and an odometer with a precision of +/- 200 meters reads 1200 meters when measuring a distance between two different points. Your computer gets the solution 41.250000000000 when dividing the first number by the second number. Using the appropriate number of significant digits, what is the answer?
A. 41
B. 41.25
C. 41.250000000000
Answer:


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

A hydraulic scale with a precision of +/- 0.1 grams measures a mass of 0.9 grams and a radar-based method with a precision of +/- 1 meters reads 5032 meters when measuring a distance. You multiply the former value by the latter with a calculator app and get the output 4528.800000000000. Round this output using the correct number of significant digits.
A. 4528 gram-meters
B. 4528.800000000000 gram-meters
C. 5000 gram-meters
D. 4528.8 gram-meters
Answer:


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

A measuring flask with a precision of +/- 0.04 liters takes a measurement of 7.42 liters, and a meter stick with a precision of +/- 0.0002 meters reads 0.5020 meters when measuring a distance. Using a computer, you multiply the numbers and get the output 3.724840000000. Using the correct number of significant digits, what is the result?
A. 3.725 liter-meters
B. 3.724840000000 liter-meters
C. 3.72 liter-meters
Answer:


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

A radar-based method with a precision of +/- 300 meters measures a distance of 400 meters and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.005 liters. You multiply the numbers with a computer and get the solution 2.000000000000. How can we express this solution to the suitable number of significant digits?
A. 2.000000000000 liter-meters
B. 2.0 liter-meters
C. 2 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 +/- 0.01 grams takes a measurement of 0.29 grams, and a measuring flask with a precision of +/- 0.004 liters measures a volume as 7.511 liters. After multiplying the first number by the second number your computer yields the solution 2.178190000000. How can we express this solution to the correct level of precision?
A. 2.178190000000 gram-liters
B. 2.18 gram-liters
C. 2.2 gram-liters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 +/- 2 meters measures a distance of 9 meters and a caliper with a precision of +/- 0.003 meters measures a distance between two different points as 0.003 meters. Using a calculator app, you divide the two values and get the output 3000.000000000000. If we express this output to the right level of precision, what is the result?
A. 3000
B. 3000.000000000000
C. 3000.0
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 5 meters and a spring scale with a precision of +/- 0.003 grams reads 0.076 grams when measuring a mass. After dividing the numbers your calculator app gets the output 65.789473684211. How can we express this output to the correct level of precision?
A. 65.8 meters/gram
B. 70 meters/gram
C. 65 meters/gram
D. 65.789473684211 meters/gram
Answer:


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

A biltmore stick with a precision of +/- 0.3 meters takes a measurement of 773.7 meters, and an odometer with a precision of +/- 2000 meters measures a distance between two different points as 591000 meters. Your computer produces the solution 457256700.000000000000 when multiplying the numbers. Express this solution using the suitable number of significant digits.
A. 457256000 meters^2
B. 457256700.000000000000 meters^2
C. 457256700.000 meters^2
D. 457000000 meters^2
Answer:


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

A radar-based method with a precision of +/- 1 meters measures a distance of 6 meters and an opisometer with a precision of +/- 4 meters measures a distance between two different points as 4771 meters. Using a computer, you multiply the former value by the latter and get the output 28626.000000000000. How can we round this output to the correct number of significant digits?
A. 28626 meters^2
B. 30000 meters^2
C. 28626.000000000000 meters^2
D. 28626.0 meters^2
Answer:


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

A stopwatch with a precision of +/- 0.2 seconds takes a measurement of 338.2 seconds, and a stadimeter with a precision of +/- 0.3 meters reads 9.3 meters when measuring a distance. After dividing the former value by the latter your calculator yields the output 36.365591397849. Report this output using the suitable number of significant digits.
A. 36 seconds/meter
B. 36.37 seconds/meter
C. 36.4 seconds/meter
D. 36.365591397849 seconds/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 400 meters measures a distance of 400 meters and a caliper with a precision of +/- 0.02 meters measures a distance between two different points as 0.52 meters. Your computer gives the solution 769.230769230769 when dividing the values. Using the correct level of precision, what is the result?
A. 800
B. 700
C. 769.2
D. 769.230769230769
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.003 meters measures a distance of 0.010 meters and a spring scale with a precision of +/- 200 grams reads 19500 grams when measuring a mass. After multiplying the numbers your calculator app yields the solution 195.000000000000. Using the appropriate number of significant digits, what is the result?
A. 200 gram-meters
B. 100 gram-meters
C. 195.00 gram-meters
D. 195.000000000000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 takes a measurement of 0.056 liters, and an odometer with a precision of +/- 200 meters measures a distance as 511700 meters. You multiply the former value by the latter with a calculator app and get the output 28655.200000000000. Round this output using the proper level of precision.
A. 29000 liter-meters
B. 28600 liter-meters
C. 28655.200000000000 liter-meters
D. 28655.20 liter-meters
Answer:


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

A storage container with a precision of +/- 0.3 liters measures a volume of 2.8 liters and a measuring rod with a precision of +/- 0.004 meters reads 0.079 meters when measuring a distance. Your calculator gets the solution 35.443037974684 when dividing the values. How would this result look if we reported it with the correct level of precision?
A. 35.443037974684 liters/meter
B. 35 liters/meter
C. 35.44 liters/meter
D. 35.4 liters/meter
Answer:


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

A measuring flask with a precision of +/- 0.001 liters measures a volume of 5.118 liters and a balance with a precision of +/- 0.2 grams measures a mass as 15.3 grams. You divide the values with a calculator and get the output 0.334509803922. How can we report this output to the proper number of significant digits?
A. 0.334509803922 liters/gram
B. 0.335 liters/gram
C. 0.3 liters/gram
Answer:


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

A meter stick with a precision of +/- 0.0004 meters measures a distance of 0.0799 meters and a measuring rod with a precision of +/- 0.004 meters measures a distance between two different points as 2.567 meters. Using a calculator, you divide the former value by the latter and get the output 0.031125827815. How would this result look if we wrote it with the suitable number of significant digits?
A. 0.031125827815
B. 0.0311
C. 0.031
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 40 meters measures a distance of 110 meters and a timer with a precision of +/- 0.04 seconds measures a duration as 0.08 seconds. You multiply the former value by the latter with a calculator and get the solution 8.800000000000. How can we round this solution to the appropriate level of precision?
A. 9 meter-seconds
B. 8.8 meter-seconds
C. 8.800000000000 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 0.0079 meters and a chronometer with a precision of +/- 0.0002 seconds reads 0.0030 seconds when measuring a duration. After dividing the former number by the latter your calculator app gives the output 2.633333333333. How can we report this output to the correct number of significant digits?
A. 2.633333333333 meters/second
B. 2.63 meters/second
C. 2.6 meters/second
D. 2.6333 meters/second
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.4 meters takes a measurement of 93.8 meters, and a storage container with a precision of +/- 0.4 liters measures a volume as 1.8 liters. Your computer gets the solution 52.111111111111 when dividing the first value by the second value. Round this solution using the suitable level of precision.
A. 52.11 meters/liter
B. 52.1 meters/liter
C. 52.111111111111 meters/liter
D. 52 meters/liter
Answer:


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

A measuring flask with a precision of +/- 0.003 liters takes a measurement of 0.532 liters, and a chronograph with a precision of +/- 0.002 seconds measures a duration as 0.017 seconds. Using a calculator app, you multiply the former value by the latter and get the output 0.009044000000. If we report this output to the right level of precision, what is the answer?
A. 0.009 liter-seconds
B. 0.009044000000 liter-seconds
C. 0.0090 liter-seconds
D. 0.01 liter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.02 meters takes a measurement of 13.37 meters, and a hydraulic scale with a precision of +/- 0.002 grams reads 9.104 grams when measuring a mass. You divide the two numbers with a calculator app and get the output 1.468585237258. How can we round this output to the proper level of precision?
A. 1.4686 meters/gram
B. 1.469 meters/gram
C. 1.468585237258 meters/gram
D. 1.47 meters/gram
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.03 meters measures a distance of 0.06 meters and a graduated cylinder with a precision of +/- 0.004 liters reads 7.641 liters when measuring a volume. Using a calculator, you divide the values and get the output 0.007852375344. If we report this output appropriately with respect to the level of precision, what is the answer?
A. 0.007852375344 meters/liter
B. 0.008 meters/liter
C. 0.01 meters/liter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 takes a measurement of 53980 meters, and a chronograph with a precision of +/- 0.2 seconds reads 497.2 seconds when measuring a duration. Using a computer, you divide the two values and get the solution 108.567980691874. When this solution is rounded to the proper level of precision, what do we get?
A. 108.6 meters/second
B. 108.567980691874 meters/second
C. 100 meters/second
D. 108.5680 meters/second
Answer:


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

A caliper with a precision of +/- 0.003 meters measures a distance of 9.395 meters and a hydraulic scale with a precision of +/- 0.1 grams measures a mass as 7.8 grams. After multiplying the first number by the second number your computer gives the output 73.281000000000. Using the suitable level of precision, what is the answer?
A. 73.281000000000 gram-meters
B. 73 gram-meters
C. 73.28 gram-meters
D. 73.3 gram-meters
Answer:


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

An odometer with a precision of +/- 100 meters takes a measurement of 800 meters, and a Biltmore stick with a precision of +/- 0.02 meters reads 0.41 meters when measuring a distance between two different points. Your calculator app gives the solution 328.000000000000 when multiplying the two numbers. How would this result look if we reported it with the appropriate number of significant digits?
A. 300 meters^2
B. 328.000000000000 meters^2
C. 328.0 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.01 meters takes a measurement of 1.36 meters, and a chronometer with a precision of +/- 0.0002 seconds measures a duration as 0.3879 seconds. You divide the two numbers with a calculator and get the output 3.506058262439. When this output is expressed to the right number of significant digits, what do we get?
A. 3.506058262439 meters/second
B. 3.506 meters/second
C. 3.51 meters/second
Answer:


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

A measuring tape with a precision of +/- 0.1 meters measures a distance of 76.4 meters and a meter stick with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0250 meters. You multiply the two numbers with a computer and get the output 1.910000000000. When this output is written to the proper number of significant digits, what do we get?
A. 1.91 meters^2
B. 1.9 meters^2
C. 1.910 meters^2
D. 1.910000000000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.00002 seconds measures a duration of 0.00008 seconds and a cathetometer with a precision of +/- 0.0004 meters measures a distance as 0.0033 meters. Your calculator yields the solution 0.024242424242 when dividing the former value by the latter. How can we round this solution to the correct level of precision?
A. 0.0242 seconds/meter
B. 0.02 seconds/meter
C. 0.024242424242 seconds/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 25 grams, and a ruler with a precision of +/- 0.0004 meters reads 0.4404 meters when measuring a distance. Using a calculator app, you divide the former value by the latter and get the solution 56.766575840145. If we write this solution suitably with respect to the number of significant digits, what is the result?
A. 56.77 grams/meter
B. 56.766575840145 grams/meter
C. 56 grams/meter
D. 57 grams/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 900 meters and a radar-based method with a precision of +/- 40 meters measures a distance between two different points as 590 meters. You multiply the values with a computer and get the output 531000.000000000000. When this output is reported to the appropriate number of significant digits, what do we get?
A. 531000.000000000000 meters^2
B. 500000 meters^2
C. 531000 meters^2
D. 531000.0 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 2.9 meters and a meter stick with a precision of +/- 0.0003 meters reads 0.7502 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 solution 3.865635830445. Write this solution using the proper number of significant digits.
A. 3.9
B. 3.865635830445
C. 3.87
Answer:


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

A spring scale with a precision of +/- 200 grams takes a measurement of 691300 grams, and a chronograph with a precision of +/- 0.004 seconds measures a duration as 0.066 seconds. Using a computer, you divide the two values and get the solution 10474242.424242424242. Using the correct number of significant digits, what is the answer?
A. 10000000 grams/second
B. 10474242.424242424242 grams/second
C. 10474242.42 grams/second
D. 10474200 grams/second
Answer:


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

An odometer with a precision of +/- 400 meters measures a distance of 146700 meters and a rangefinder with a precision of +/- 3 meters reads 8375 meters when measuring a distance between two different points. Using a calculator, you multiply the values and get the output 1228612500.000000000000. When this output is reported to the suitable number of significant digits, what do we get?
A. 1228612500 meters^2
B. 1228612500.000000000000 meters^2
C. 1229000000 meters^2
D. 1228612500.0000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 takes a measurement of 5490 meters, and an analytical balance with a precision of +/- 3 grams reads 56 grams when measuring a mass. After dividing the former number by the latter your computer gets the solution 98.035714285714. If we report this solution appropriately with respect to the level of precision, what is the answer?
A. 98 meters/gram
B. 90 meters/gram
C. 98.04 meters/gram
D. 98.035714285714 meters/gram
Answer:


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

A timer with a precision of +/- 0.001 seconds takes a measurement of 0.040 seconds, and a stopwatch with a precision of +/- 0.3 seconds measures a duration of a different event as 8.8 seconds. After multiplying the former number by the latter your calculator app gets the solution 0.352000000000. If we round this solution correctly with respect to the level of precision, what is the answer?
A. 0.35 seconds^2
B. 0.4 seconds^2
C. 0.352000000000 seconds^2
Answer:


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

A stopwatch with a precision of +/- 0.01 seconds measures a duration of 0.03 seconds and a balance with a precision of +/- 0.0002 grams reads 0.0005 grams when measuring a mass. Your calculator app yields the output 60.000000000000 when dividing the former number by the latter. How can we report this output to the suitable level of precision?
A. 60 seconds/gram
B. 60.00 seconds/gram
C. 60.0 seconds/gram
D. 60.000000000000 seconds/gram
Answer:


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

A storage container with a precision of +/- 10 liters takes a measurement of 60 liters, and a clickwheel with a precision of +/- 0.03 meters reads 1.44 meters when measuring a distance. Your calculator app gives the solution 86.400000000000 when multiplying the two numbers. When this solution is expressed to the right level of precision, what do we get?
A. 86.400000000000 liter-meters
B. 80 liter-meters
C. 90 liter-meters
D. 86.4 liter-meters
Answer:


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

A hydraulic scale with a precision of +/- 40 grams takes a measurement of 7690 grams, and a tape measure with a precision of +/- 0.0003 meters reads 0.3559 meters when measuring a distance. Your calculator gets the solution 2736.871000000000 when multiplying the first number by the second number. When this solution is written to the proper level of precision, what do we get?
A. 2740 gram-meters
B. 2730 gram-meters
C. 2736.871 gram-meters
D. 2736.871000000000 gram-meters
Answer:


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

An opisometer with a precision of +/- 0.1 meters measures a distance of 0.9 meters and a balance with a precision of +/- 0.0003 grams reads 0.0002 grams when measuring a mass. Using a computer, you divide the first number by the second number and get the solution 4500.000000000000. Round this solution using the proper level of precision.
A. 4500.000000000000 meters/gram
B. 4500.0 meters/gram
C. 4000 meters/gram
Answer:


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

A timer with a precision of +/- 0.03 seconds takes a measurement of 0.10 seconds, and a chronometer with a precision of +/- 0.0001 seconds measures a duration of a different event as 0.0505 seconds. Your calculator app gets the output 1.980198019802 when dividing the former number by the latter. How would this answer look if we wrote it with the correct level of precision?
A. 1.980198019802
B. 2.0
C. 1.98
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.01 meters takes a measurement of 6.64 meters, and a stopwatch with a precision of +/- 0.003 seconds reads 0.003 seconds when measuring a duration. Your calculator yields the solution 2213.333333333333 when dividing the former value by the latter. If we write this solution to the correct level of precision, what is the answer?
A. 2213.3 meters/second
B. 2213.333333333333 meters/second
C. 2000 meters/second
D. 2213.33 meters/second
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 takes a measurement of 754.3 seconds, and an analytical balance with a precision of +/- 2 grams measures a mass as 46 grams. You divide the former number by the latter with a calculator and get the output 16.397826086957. Express this output using the proper number of significant digits.
A. 16.40 seconds/gram
B. 16.397826086957 seconds/gram
C. 16 seconds/gram
Answer:


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

A spring scale with a precision of +/- 0.3 grams measures a mass of 5.5 grams and a stopwatch with a precision of +/- 0.1 seconds measures a duration as 9.0 seconds. After dividing the values your calculator app yields the solution 0.611111111111. If we express this solution appropriately with respect to the number of significant digits, what is the answer?
A. 0.61 grams/second
B. 0.611111111111 grams/second
C. 0.6 grams/second
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.04 meters takes a measurement of 0.49 meters, and a balance with a precision of +/- 0.0004 grams reads 0.1816 grams when measuring a mass. You divide the first value by the second value with a computer and get the solution 2.698237885463. Write this solution using the right number of significant digits.
A. 2.7 meters/gram
B. 2.698237885463 meters/gram
C. 2.70 meters/gram
Answer:


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

A clickwheel with a precision of +/- 0.004 meters takes a measurement of 8.013 meters, and a clickwheel with a precision of +/- 0.001 meters reads 0.026 meters when measuring a distance between two different points. Your computer gives the solution 308.192307692308 when dividing the first value by the second value. Using the correct level of precision, what is the answer?
A. 308.192
B. 308.19
C. 310
D. 308.192307692308
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.001 meters measures a distance of 0.006 meters and a graduated cylinder with a precision of +/- 0.003 liters measures a volume as 9.459 liters. After dividing the two numbers your computer yields the solution 0.000634316524. If we round this solution correctly with respect to the level of precision, what is the answer?
A. 0.000634316524 meters/liter
B. 0.001 meters/liter
C. 0.0006 meters/liter
Answer:


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

A biltmore stick with a precision of +/- 0.1 meters takes a measurement of 29.5 meters, and a spring scale with a precision of +/- 0.002 grams measures a mass as 0.634 grams. You multiply the former number by the latter with a calculator and get the solution 18.703000000000. How can we report this solution to the suitable number of significant digits?
A. 18.703000000000 gram-meters
B. 18.703 gram-meters
C. 18.7 gram-meters
Answer:


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

A radar-based method with a precision of +/- 300 meters takes a measurement of 600 meters, and a measuring tape with a precision of +/- 0.2 meters measures a distance between two different points as 1.9 meters. You divide the first value by the second value with a computer and get the solution 315.789473684211. Write this solution using the suitable level of precision.
A. 315.8
B. 315.789473684211
C. 300
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 30 meters measures a distance of 270 meters and a hydraulic scale with a precision of +/- 1 grams measures a mass as 73 grams. Your calculator gives the solution 3.698630136986 when dividing the two numbers. How would this answer look if we reported it with the right number of significant digits?
A. 3.7 meters/gram
B. 3.698630136986 meters/gram
C. 3.70 meters/gram
Answer:


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

A hydraulic scale with a precision of +/- 0.001 grams measures a mass of 2.108 grams and a measuring rod with a precision of +/- 0.004 meters measures a distance as 0.042 meters. Using a computer, you multiply the two numbers and get the solution 0.088536000000. If we write this solution correctly with respect to the level of precision, what is the answer?
A. 0.088536000000 gram-meters
B. 0.09 gram-meters
C. 0.089 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 784000 meters, and a ruler with a precision of +/- 0.001 meters reads 0.176 meters when measuring a distance between two different points. You multiply the two values with a calculator and get the output 137984.000000000000. How can we report this output to the proper level of precision?
A. 138000 meters^2
B. 137984.000000000000 meters^2
C. 137984.000 meters^2
D. 137000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 30 meters takes a measurement of 360 meters, and a radar-based method with a precision of +/- 40 meters measures a distance between two different points as 200 meters. After dividing the first value by the second value your calculator app gets the solution 1.800000000000. How would this result look if we rounded it with the correct level of precision?
A. 1.8
B. 1.800000000000
C. 1.80
Answer:


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

An odometer with a precision of +/- 400 meters measures a distance of 68400 meters and a timer with a precision of +/- 0.002 seconds measures a duration as 0.919 seconds. After dividing the former value by the latter your calculator app produces the output 74428.726877040261. Using the suitable number of significant digits, what is the result?
A. 74400 meters/second
B. 74428.726877040261 meters/second
C. 74428.727 meters/second
Answer:


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

A cathetometer with a precision of +/- 0.0001 meters takes a measurement of 0.8204 meters, and a tape measure with a precision of +/- 0.004 meters reads 0.034 meters when measuring a distance between two different points. You divide the values with a calculator app and get the output 24.129411764706. When this output is written to the proper number of significant digits, what do we get?
A. 24.13
B. 24.129
C. 24
D. 24.129411764706
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 3 meters takes a measurement of 84 meters, and a measuring flask with a precision of +/- 0.004 liters measures a volume as 0.841 liters. Your calculator yields the output 70.644000000000 when multiplying the two numbers. When this output is reported to the right number of significant digits, what do we get?
A. 71 liter-meters
B. 70.644000000000 liter-meters
C. 70 liter-meters
D. 70.64 liter-meters
Answer:


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

A coincidence telemeter with a precision of +/- 3 meters takes a measurement of 7069 meters, and a clickwheel with a precision of +/- 0.03 meters measures a distance between two different points as 0.46 meters. After multiplying the numbers your calculator gets the output 3251.740000000000. If we round this output suitably with respect to the number of significant digits, what is the result?
A. 3251.740000000000 meters^2
B. 3300 meters^2
C. 3251 meters^2
D. 3251.74 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 1.6 meters, and a balance with a precision of +/- 0.0002 grams reads 0.0004 grams when measuring a mass. Your calculator yields the output 4000.000000000000 when dividing the two values. Express this output using the suitable number of significant digits.
A. 4000.000000000000 meters/gram
B. 4000 meters/gram
C. 4000.0 meters/gram
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 takes a measurement of 0.9 seconds, and a ruler with a precision of +/- 0.0004 meters measures a distance as 0.0032 meters. You divide the values with a calculator and get the output 281.250000000000. If we round this output to the suitable number of significant digits, what is the answer?
A. 281.2 seconds/meter
B. 281.250000000000 seconds/meter
C. 300 seconds/meter
Answer:


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

A rangefinder with a precision of +/- 4 meters takes a measurement of 102 meters, and a clickwheel with a precision of +/- 0.03 meters measures a distance between two different points as 4.41 meters. Your calculator app gets the output 23.129251700680 when dividing the two numbers. How can we express this output to the right number of significant digits?
A. 23.129251700680
B. 23
C. 23.1
D. 23.129
Answer:


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

An opisometer with a precision of +/- 4 meters measures a distance of 6745 meters and a caliper with a precision of +/- 0.02 meters reads 7.04 meters when measuring a distance between two different points. Your computer gets the solution 958.096590909091 when dividing the former value by the latter. How would this answer look if we rounded it with the correct number of significant digits?
A. 958.096590909091
B. 958.097
C. 958
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
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A balance with a precision of +/- 0.03 grams takes a measurement of 6.00 grams, and a measuring flask with a precision of +/- 0.001 liters reads 4.845 liters when measuring a volume. Using a computer, you multiply the first value by the second value and get the solution 29.070000000000. How would this answer look if we expressed it with the correct number of significant digits?
A. 29.070 gram-liters
B. 29.070000000000 gram-liters
C. 29.1 gram-liters
D. 29.07 gram-liters
Answer: