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

A biltmore stick with a precision of +/- 0.01 meters measures a distance of 0.11 meters and a chronometer with a precision of +/- 0.00003 seconds measures a duration as 0.00002 seconds. Your calculator app yields the output 5500.000000000000 when dividing the two values. Using the correct number of significant figures, what is the answer?
A. 5500.0 meters/second
B. 6000 meters/second
C. 5500.00 meters/second
Answer:


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

A hydraulic scale with a precision of +/- 3000 grams measures a mass of 208000 grams and a measuring flask with a precision of +/- 0.01 liters measures a volume as 0.92 liters. Using a calculator, you divide the former number by the latter and get the output 226086.956521739130. How can we report this output to the correct number of significant figures?
A. 226086.96 grams/liter
B. 226000 grams/liter
C. 230000 grams/liter
Answer:


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

A spring scale with a precision of +/- 300 grams takes a measurement of 325200 grams, and a rangefinder with a precision of +/- 0.0003 meters measures a distance as 0.5076 meters. Your calculator app produces the output 640661.938534278960 when dividing the two numbers. Using the right number of significant figures, what is the result?
A. 640661.9385 grams/meter
B. 640600 grams/meter
C. 640700 grams/meter
Answer:


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

An opisometer with a precision of +/- 0.0004 meters measures a distance of 0.0756 meters and a spring scale with a precision of +/- 0.04 grams measures a mass as 0.04 grams. Your calculator gives the output 1.890000000000 when dividing the former number by the latter. If we round this output appropriately with respect to the level of precision, what is the result?
A. 1.9 meters/gram
B. 2 meters/gram
C. 1.89 meters/gram
Answer:


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

A graduated cylinder with a precision of +/- 0.002 liters takes a measurement of 0.904 liters, and a clickwheel with a precision of +/- 0.001 meters reads 0.009 meters when measuring a distance. Your calculator app produces the output 100.444444444444 when dividing the former number by the latter. If we write this output to the proper level of precision, what is the result?
A. 100.4 liters/meter
B. 100.444 liters/meter
C. 100 liters/meter
Answer:


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

A biltmore stick with a precision of +/- 0.01 meters takes a measurement of 7.11 meters, and a cathetometer with a precision of +/- 0.00003 meters reads 0.00729 meters when measuring a distance between two different points. Your calculator app gets the solution 975.308641975309 when dividing the two values. If we report this solution to the correct level of precision, what is the answer?
A. 975.31
B. 975.309
C. 975
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 10 meters measures a distance of 770 meters and a Biltmore stick with a precision of +/- 0.04 meters reads 0.61 meters when measuring a distance between two different points. You divide the former value by the latter with a calculator and get the solution 1262.295081967213. How would this answer look if we expressed it with the appropriate number of significant figures?
A. 1262.30
B. 1260
C. 1300
Answer:


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

A balance with a precision of +/- 10 grams takes a measurement of 9230 grams, and a cathetometer with a precision of +/- 0.0002 meters reads 0.0004 meters when measuring a distance. Using a calculator app, you divide the former number by the latter and get the output 23075000.000000000000. How can we round this output to the proper number of significant figures?
A. 23075000.0 grams/meter
B. 23075000 grams/meter
C. 20000000 grams/meter
Answer:


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

A measuring flask with a precision of +/- 0.003 liters measures a volume of 7.201 liters and a clickwheel with a precision of +/- 0.04 meters measures a distance as 0.03 meters. After dividing the two values your calculator yields the solution 240.033333333333. When this solution is expressed to the appropriate level of precision, what do we get?
A. 200 liters/meter
B. 240.0 liters/meter
C. 240.03 liters/meter
Answer:


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

An analytical balance with a precision of +/- 200 grams measures a mass of 155300 grams and an opisometer with a precision of +/- 2 meters measures a distance as 74 meters. Your calculator yields the output 2098.648648648649 when dividing the first value by the second value. When this output is written to the right number of significant figures, what do we get?
A. 2100 grams/meter
B. 2000 grams/meter
C. 2098.65 grams/meter
Answer:


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

An odometer with a precision of +/- 400 meters measures a distance of 939800 meters and a meter stick with a precision of +/- 0.0002 meters reads 0.0291 meters when measuring a distance between two different points. Using a computer, you divide the former number by the latter and get the solution 32295532.646048109966. How would this result look if we expressed it with the right level of precision?
A. 32295532.646
B. 32300000
C. 32295500
Answer:


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

A timer with a precision of +/- 0.04 seconds measures a duration of 0.87 seconds and a stopwatch with a precision of +/- 0.01 seconds measures a duration of a different event as 0.07 seconds. Your calculator yields the output 12.428571428571 when dividing the values. If we write this output to the correct level of precision, what is the result?
A. 12.43
B. 10
C. 12.4
Answer:


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

A tape measure with a precision of +/- 0.001 meters takes a measurement of 0.032 meters, and a chronograph with a precision of +/- 0.001 seconds reads 0.008 seconds when measuring a duration. After dividing the values your calculator gives the output 4.000000000000. Express this output using the proper level of precision.
A. 4 meters/second
B. 4.0 meters/second
C. 4.000 meters/second
Answer:


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

A rangefinder with a precision of +/- 3 meters measures a distance of 467 meters and a coincidence telemeter with a precision of +/- 0.4 meters measures a distance between two different points as 0.4 meters. You divide the former number by the latter with a calculator app and get the solution 1167.500000000000. If we round this solution to the proper level of precision, what is the answer?
A. 1167
B. 1000
C. 1167.5
Answer:


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

An opisometer with a precision of +/- 0.04 meters takes a measurement of 0.01 meters, and an opisometer with a precision of +/- 0.004 meters reads 0.010 meters when measuring a distance between two different points. Using a calculator, you divide the numbers and get the solution 1.000000000000. Report this solution using the suitable number of significant figures.
A. 1.0
B. 1
C. 1.00
Answer:


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

A measuring stick with a precision of +/- 0.04 meters takes a measurement of 0.08 meters, and a cathetometer with a precision of +/- 0.00004 meters reads 0.00063 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 126.984126984127. How would this result look if we wrote it with the appropriate number of significant figures?
A. 126.98
B. 127.0
C. 100
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.3 meters takes a measurement of 7.3 meters, and a cathetometer with a precision of +/- 0.00003 meters reads 0.00024 meters when measuring a distance between two different points. Your calculator app produces the solution 30416.666666666667 when dividing the numbers. When this solution is reported to the proper number of significant figures, what do we get?
A. 30000
B. 30416.67
C. 30416.7
Answer:


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

An odometer with a precision of +/- 200 meters measures a distance of 332100 meters and a measuring stick with a precision of +/- 0.04 meters reads 0.79 meters when measuring a distance between two different points. After dividing the former value by the latter your calculator produces the solution 420379.746835443038. Report this solution using the proper level of precision.
A. 420300
B. 420379.75
C. 420000
Answer:


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

A balance with a precision of +/- 20 grams measures a mass of 60 grams and a meter stick with a precision of +/- 0.0002 meters reads 0.1175 meters when measuring a distance. Using a calculator app, you divide the two numbers and get the solution 510.638297872340. Using the suitable number of significant figures, what is the answer?
A. 500 grams/meter
B. 510.6 grams/meter
C. 510 grams/meter
Answer:


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

A stopwatch with a precision of +/- 0.002 seconds measures a duration of 0.003 seconds and a meter stick with a precision of +/- 0.0004 meters measures a distance as 0.0013 meters. You divide the numbers with a calculator and get the output 2.307692307692. When this output is rounded to the suitable number of significant figures, what do we get?
A. 2 seconds/meter
B. 2.308 seconds/meter
C. 2.3 seconds/meter
Answer:


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

A stadimeter with a precision of +/- 200 meters takes a measurement of 600 meters, and a stopwatch with a precision of +/- 0.001 seconds measures a duration as 0.072 seconds. Your computer gives the solution 8333.333333333333 when dividing the former number by the latter. How can we express this solution to the correct number of significant figures?
A. 8300 meters/second
B. 8333.3 meters/second
C. 8000 meters/second
Answer:


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

A coincidence telemeter with a precision of +/- 2 meters measures a distance of 66 meters and a hydraulic scale with a precision of +/- 0.01 grams measures a mass as 0.03 grams. Using a calculator app, you divide the two numbers and get the output 2200.000000000000. Express this output using the correct level of precision.
A. 2200.0 meters/gram
B. 2200 meters/gram
C. 2000 meters/gram
Answer:


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

A timer with a precision of +/- 0.2 seconds measures a duration of 43.1 seconds and a timer with a precision of +/- 0.04 seconds measures a duration of a different event as 0.85 seconds. You divide the first value by the second value with a calculator app and get the solution 50.705882352941. How can we round this solution to the suitable level of precision?
A. 51
B. 50.71
C. 50.7
Answer:


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

An analytical balance with a precision of +/- 0.003 grams measures a mass of 2.073 grams and a measuring stick with a precision of +/- 0.001 meters reads 0.056 meters when measuring a distance. After dividing the two numbers your computer gives the output 37.017857142857. How would this answer look if we rounded it with the suitable level of precision?
A. 37 grams/meter
B. 37.02 grams/meter
C. 37.018 grams/meter
Answer:


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

A stopwatch with a precision of +/- 0.2 seconds measures a duration of 943.2 seconds and a stopwatch with a precision of +/- 0.03 seconds measures a duration of a different event as 5.37 seconds. Your computer produces the solution 175.642458100559 when dividing the numbers. Express this solution using the appropriate level of precision.
A. 176
B. 175.6
C. 175.642
Answer:


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

An odometer with a precision of +/- 3000 meters measures a distance of 270000 meters and a rangefinder with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0571 meters. After dividing the former value by the latter your computer gets the output 4728546.409807355517. If we write this output suitably with respect to the number of significant figures, what is the result?
A. 4730000
B. 4728546.410
C. 4728000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 20 meters takes a measurement of 50 meters, and a clickwheel with a precision of +/- 0.04 meters measures a distance between two different points as 0.30 meters. Using a computer, you divide the former value by the latter and get the solution 166.666666666667. If we report this solution to the correct number of significant figures, what is the answer?
A. 166.7
B. 160
C. 200
Answer:


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

A measuring stick with a precision of +/- 0.1 meters takes a measurement of 6.2 meters, and a measuring rod with a precision of +/- 0.0003 meters reads 0.0555 meters when measuring a distance between two different points. Your calculator gives the solution 111.711711711712 when dividing the first value by the second value. If we round this solution correctly with respect to the level of precision, what is the result?
A. 111.71
B. 110
C. 111.7
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 230 meters and a ruler with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0240 meters. After dividing the numbers your computer gets the output 9583.333333333333. How would this result look if we wrote it with the appropriate level of precision?
A. 9600
B. 9580
C. 9583.33
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 816 meters, and a chronograph with a precision of +/- 0.1 seconds measures a duration as 213.7 seconds. Using a computer, you divide the two values and get the output 3.818437061301. Write this output using the suitable number of significant figures.
A. 3.818 meters/second
B. 3 meters/second
C. 3.82 meters/second
Answer:


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

A chronograph with a precision of +/- 0.4 seconds takes a measurement of 235.0 seconds, and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 0.049 liters. Using a computer, you divide the numbers and get the output 4795.918367346939. When this output is written to the suitable level of precision, what do we get?
A. 4795.9 seconds/liter
B. 4795.92 seconds/liter
C. 4800 seconds/liter
Answer:


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

A chronograph with a precision of +/- 0.2 seconds measures a duration of 964.2 seconds and a tape measure with a precision of +/- 0.001 meters reads 0.581 meters when measuring a distance. Using a calculator, you divide the two numbers and get the output 1659.552495697074. If we report this output suitably with respect to the level of precision, what is the answer?
A. 1660 seconds/meter
B. 1659.6 seconds/meter
C. 1659.552 seconds/meter
Answer:


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

A measuring flask with a precision of +/- 0.03 liters measures a volume of 5.87 liters and a chronograph with a precision of +/- 0.4 seconds reads 66.8 seconds when measuring a duration. Using a calculator app, you divide the first value by the second value and get the solution 0.087874251497. If we write this solution correctly with respect to the number of significant figures, what is the answer?
A. 0.1 liters/second
B. 0.088 liters/second
C. 0.0879 liters/second
Answer:


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

A stadimeter with a precision of +/- 20 meters takes a measurement of 60 meters, and a timer with a precision of +/- 0.002 seconds reads 0.041 seconds when measuring a duration. Your calculator app produces the output 1463.414634146341 when dividing the numbers. If we report this output properly with respect to the level of precision, what is the answer?
A. 1463.4 meters/second
B. 1000 meters/second
C. 1460 meters/second
Answer:


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

A hydraulic scale with a precision of +/- 0.1 grams takes a measurement of 8.3 grams, and an opisometer with a precision of +/- 0.002 meters measures a distance as 0.089 meters. After dividing the former number by the latter your calculator app produces the output 93.258426966292. Express this output using the proper level of precision.
A. 93 grams/meter
B. 93.3 grams/meter
C. 93.26 grams/meter
Answer:


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

A chronometer with a precision of +/- 0.0004 seconds takes a measurement of 0.0292 seconds, and a measuring rod with a precision of +/- 0.0002 meters measures a distance as 0.0014 meters. Your calculator produces the solution 20.857142857143 when dividing the two values. How can we write this solution to the correct level of precision?
A. 20.8571 seconds/meter
B. 20.86 seconds/meter
C. 21 seconds/meter
Answer:


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

A stadimeter with a precision of +/- 40 meters takes a measurement of 770 meters, and a measuring flask with a precision of +/- 0.04 liters measures a volume as 0.08 liters. Using a calculator app, you divide the two values and get the solution 9625.000000000000. When this solution is written to the correct level of precision, what do we get?
A. 10000 meters/liter
B. 9620 meters/liter
C. 9625.0 meters/liter
Answer:


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

A meter stick with a precision of +/- 0.0004 meters takes a measurement of 0.0618 meters, and a clickwheel with a precision of +/- 0.2 meters reads 1.0 meters when measuring a distance between two different points. Your calculator produces the output 0.061800000000 when dividing the former number by the latter. If we express this output to the correct level of precision, what is the result?
A. 0.06
B. 0.1
C. 0.062
Answer:


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

A storage container with a precision of +/- 4 liters takes a measurement of 399 liters, and a chronometer with a precision of +/- 0.00002 seconds reads 0.00065 seconds when measuring a duration. Your calculator app gives the solution 613846.153846153846 when dividing the former value by the latter. When this solution is expressed to the appropriate number of significant figures, what do we get?
A. 613846 liters/second
B. 610000 liters/second
C. 613846.15 liters/second
Answer:


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

A clickwheel with a precision of +/- 0.2 meters takes a measurement of 7.9 meters, and a graduated cylinder with a precision of +/- 0.001 liters reads 0.014 liters when measuring a volume. After dividing the two numbers your computer gives the output 564.285714285714. If we round this output to the right number of significant figures, what is the answer?
A. 560 meters/liter
B. 564.29 meters/liter
C. 564.3 meters/liter
Answer:


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

A stadimeter with a precision of +/- 2 meters takes a measurement of 495 meters, and a chronometer with a precision of +/- 0.00004 seconds reads 0.04421 seconds when measuring a duration. You divide the two numbers with a calculator and get the output 11196.561863831712. Using the right level of precision, what is the answer?
A. 11200 meters/second
B. 11196 meters/second
C. 11196.562 meters/second
Answer:


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

A clickwheel with a precision of +/- 0.001 meters measures a distance of 0.846 meters and a graduated cylinder with a precision of +/- 0.002 liters measures a volume as 0.006 liters. Your calculator gets the output 141.000000000000 when dividing the former number by the latter. When this output is expressed to the appropriate number of significant figures, what do we get?
A. 141.0 meters/liter
B. 100 meters/liter
C. 141.000 meters/liter
Answer:


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

A timer with a precision of +/- 0.001 seconds measures a duration of 0.891 seconds and a clickwheel with a precision of +/- 0.002 meters reads 0.006 meters when measuring a distance. Your calculator app gives the solution 148.500000000000 when dividing the former value by the latter. If we express this solution to the suitable number of significant figures, what is the answer?
A. 100 seconds/meter
B. 148.5 seconds/meter
C. 148.500 seconds/meter
Answer:


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

An opisometer with a precision of +/- 3 meters takes a measurement of 9175 meters, and a spring scale with a precision of +/- 0.0002 grams reads 0.0095 grams when measuring a mass. You divide the first value by the second value with a calculator and get the output 965789.473684210526. How would this result look if we reported it with the suitable level of precision?
A. 965789 meters/gram
B. 970000 meters/gram
C. 965789.47 meters/gram
Answer:


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

A measuring stick with a precision of +/- 0.004 meters measures a distance of 5.395 meters and a cathetometer with a precision of +/- 0.00001 meters reads 0.00012 meters when measuring a distance between two different points. You divide the first number by the second number with a computer and get the solution 44958.333333333333. When this solution is expressed to the suitable number of significant figures, what do we get?
A. 44958.333
B. 44958.33
C. 45000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 measures a distance of 1.0 meters and a chronometer with a precision of +/- 0.0003 seconds measures a duration as 0.0862 seconds. Using a calculator app, you divide the two values and get the output 11.600928074246. Write this output using the proper number of significant figures.
A. 11.6 meters/second
B. 12 meters/second
C. 11.60 meters/second
Answer:


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

A stadimeter with a precision of +/- 300 meters measures a distance of 700 meters and a cathetometer with a precision of +/- 0.00002 meters measures a distance between two different points as 0.00008 meters. Your computer gives the solution 8750000.000000000000 when dividing the two values. Using the proper number of significant figures, what is the answer?
A. 9000000
B. 8750000.0
C. 8750000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 9.61 meters, and a meter stick with a precision of +/- 0.0003 meters reads 0.6689 meters when measuring a distance between two different points. Using a computer, you divide the former number by the latter and get the solution 14.366870982210. If we write this solution to the correct level of precision, what is the answer?
A. 14.37
B. 14.4
C. 14.367
Answer:


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

A timer with a precision of +/- 0.2 seconds measures a duration of 9.3 seconds and a cathetometer with a precision of +/- 0.00002 meters measures a distance as 0.00027 meters. After dividing the two numbers your calculator app yields the solution 34444.444444444444. How would this answer look if we rounded it with the right level of precision?
A. 34444.4 seconds/meter
B. 34444.44 seconds/meter
C. 34000 seconds/meter
Answer:


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

A biltmore stick with a precision of +/- 0.02 meters measures a distance of 8.80 meters and a measuring flask with a precision of +/- 0.003 liters measures a volume as 0.004 liters. You divide the first value by the second value with a calculator and get the output 2200.000000000000. How can we write this output to the correct number of significant figures?
A. 2000 meters/liter
B. 2200.00 meters/liter
C. 2200.0 meters/liter
Answer:


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

A cathetometer with a precision of +/- 0.00002 meters takes a measurement of 0.00060 meters, and a ruler with a precision of +/- 0.0001 meters reads 0.0004 meters when measuring a distance between two different points. Using a calculator app, you divide the former value by the latter and get the solution 1.500000000000. How would this result look if we expressed it with the proper number of significant figures?
A. 1.5000
B. 1.5
C. 2
Answer:


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

A chronograph with a precision of +/- 0.2 seconds takes a measurement of 21.5 seconds, and an opisometer with a precision of +/- 0.0001 meters measures a distance as 0.0029 meters. After dividing the former number by the latter your calculator gives the solution 7413.793103448276. Using the proper number of significant figures, what is the result?
A. 7413.8 seconds/meter
B. 7413.79 seconds/meter
C. 7400 seconds/meter
Answer:


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

A timer with a precision of +/- 0.02 seconds takes a measurement of 0.03 seconds, and an analytical balance with a precision of +/- 0.002 grams measures a mass as 0.003 grams. You divide the former value by the latter with a calculator app and get the solution 10.000000000000. When this solution is expressed to the proper level of precision, what do we get?
A. 10.0 seconds/gram
B. 10.00 seconds/gram
C. 10 seconds/gram
Answer:


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

A storage container with a precision of +/- 3 liters measures a volume of 297 liters and a chronometer with a precision of +/- 0.00002 seconds measures a duration as 0.00009 seconds. Your calculator app gives the output 3300000.000000000000 when dividing the values. Using the proper number of significant figures, what is the result?
A. 3300000.0 liters/second
B. 3300000 liters/second
C. 3000000 liters/second
Answer:


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

A stopwatch with a precision of +/- 0.04 seconds takes a measurement of 0.64 seconds, and a cathetometer with a precision of +/- 0.00001 meters measures a distance as 0.00002 meters. After dividing the first number by the second number your calculator produces the solution 32000.000000000000. Using the right number of significant figures, what is the result?
A. 30000 seconds/meter
B. 32000.00 seconds/meter
C. 32000.0 seconds/meter
Answer:


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

A stadimeter with a precision of +/- 4 meters takes a measurement of 942 meters, and a measuring flask with a precision of +/- 0.02 liters reads 0.31 liters when measuring a volume. Your computer yields the solution 3038.709677419355 when dividing the numbers. How can we express this solution to the correct level of precision?
A. 3038.71 meters/liter
B. 3000 meters/liter
C. 3038 meters/liter
Answer:


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

An odometer with a precision of +/- 200 meters takes a measurement of 833300 meters, and an opisometer with a precision of +/- 0.01 meters reads 0.76 meters when measuring a distance between two different points. After dividing the first number by the second number your computer produces the solution 1096447.368421052632. If we report this solution to the appropriate number of significant figures, what is the result?
A. 1096447.37
B. 1100000
C. 1096400
Answer:


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

A storage container with a precision of +/- 40 liters measures a volume of 58300 liters and a stopwatch with a precision of +/- 0.2 seconds reads 4.9 seconds when measuring a duration. Using a calculator app, you divide the former value by the latter and get the solution 11897.959183673469. Express this solution using the right level of precision.
A. 12000 liters/second
B. 11890 liters/second
C. 11897.96 liters/second
Answer:


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

A tape measure with a precision of +/- 0.001 meters measures a distance of 0.054 meters and a rangefinder with a precision of +/- 0.002 meters measures a distance between two different points as 9.667 meters. After dividing the two numbers your calculator app gets the output 0.005586014275. Using the appropriate number of significant figures, what is the answer?
A. 0.01
B. 0.0056
C. 0.006
Answer:


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

A radar-based method with a precision of +/- 400 meters measures a distance of 1000 meters and a caliper with a precision of +/- 0.02 meters measures a distance between two different points as 9.40 meters. After dividing the former number by the latter your calculator app gives the solution 106.382978723404. When this solution is expressed to the proper level of precision, what do we get?
A. 106.38
B. 100
C. 110
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.2 meters measures a distance of 19.5 meters and a caliper with a precision of +/- 0.04 meters reads 9.95 meters when measuring a distance between two different points. Using a calculator app, you divide the two values and get the solution 1.959798994975. Report this solution using the proper number of significant figures.
A. 2.0
B. 1.960
C. 1.96
Answer:


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

A biltmore stick with a precision of +/- 0.1 meters measures a distance of 7.6 meters and a meter stick with a precision of +/- 0.0001 meters reads 0.5936 meters when measuring a distance between two different points. You divide the first number by the second number with a computer and get the output 12.803234501348. How would this answer look if we rounded it with the appropriate level of precision?
A. 12.8
B. 12.80
C. 13
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 3 liters measures a volume of 40 liters and a stopwatch with a precision of +/- 0.3 seconds reads 32.9 seconds when measuring a duration. You divide the two values with a calculator app and get the solution 1.215805471125. How can we write this solution to the correct number of significant figures?
A. 1 liters/second
B. 1.22 liters/second
C. 1.2 liters/second
Answer:


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

A measuring tape with a precision of +/- 0.1 meters measures a distance of 8.2 meters and a measuring stick with a precision of +/- 0.04 meters measures a distance between two different points as 0.81 meters. After dividing the numbers your calculator produces the solution 10.123456790123. Using the suitable level of precision, what is the answer?
A. 10.12
B. 10
C. 10.1
Answer:


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

A tape measure with a precision of +/- 0.0002 meters takes a measurement of 0.4548 meters, and a chronograph with a precision of +/- 0.02 seconds reads 0.04 seconds when measuring a duration. You divide the values with a computer and get the solution 11.370000000000. If we round this solution appropriately with respect to the number of significant figures, what is the result?
A. 11.4 meters/second
B. 11.37 meters/second
C. 10 meters/second
Answer:


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

A caliper with a precision of +/- 0.04 meters takes a measurement of 0.05 meters, and a Biltmore stick with a precision of +/- 0.02 meters reads 0.01 meters when measuring a distance between two different points. Using a calculator, you divide the numbers and get the solution 5.000000000000. If we express this solution appropriately with respect to the level of precision, what is the result?
A. 5.00
B. 5
C. 5.0
Answer:


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

A measuring flask with a precision of +/- 0.003 liters measures a volume of 1.122 liters and a measuring stick with a precision of +/- 0.002 meters measures a distance as 0.008 meters. After dividing the numbers your computer produces the solution 140.250000000000. If we write this solution suitably with respect to the number of significant figures, what is the answer?
A. 140.250 liters/meter
B. 100 liters/meter
C. 140.2 liters/meter
Answer:


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

A spring scale with a precision of +/- 0.1 grams measures a mass of 409.6 grams and an opisometer with a precision of +/- 4 meters reads 8 meters when measuring a distance. Using a computer, you divide the former value by the latter and get the solution 51.200000000000. When this solution is rounded to the right level of precision, what do we get?
A. 51.2 grams/meter
B. 50 grams/meter
C. 51 grams/meter
Answer:


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

A timer with a precision of +/- 0.2 seconds takes a measurement of 6.3 seconds, and a graduated cylinder with a precision of +/- 0.004 liters reads 0.107 liters when measuring a volume. Using a calculator app, you divide the two numbers and get the solution 58.878504672897. Round this solution using the proper number of significant figures.
A. 59 seconds/liter
B. 58.88 seconds/liter
C. 58.9 seconds/liter
Answer:


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

A meter stick with a precision of +/- 0.0002 meters takes a measurement of 0.0324 meters, and a meter stick with a precision of +/- 0.0004 meters reads 0.0005 meters when measuring a distance between two different points. After dividing the former value by the latter your calculator gives the solution 64.800000000000. When this solution is rounded to the appropriate level of precision, what do we get?
A. 64.8
B. 60
C. 64.8000
Answer:


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

A meter stick with a precision of +/- 0.0003 meters takes a measurement of 0.0006 meters, and a measuring rod with a precision of +/- 0.003 meters measures a distance between two different points as 0.007 meters. Using a computer, you divide the numbers and get the solution 0.085714285714. How would this answer look if we expressed it with the appropriate level of precision?
A. 0.09
B. 0.1
C. 0.086
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.03 meters takes a measurement of 0.80 meters, and a chronograph with a precision of +/- 0.02 seconds measures a duration as 0.07 seconds. After dividing the two numbers your calculator app yields the output 11.428571428571. How can we report this output to the appropriate level of precision?
A. 11.43 meters/second
B. 10 meters/second
C. 11.4 meters/second
Answer:


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

A radar-based method with a precision of +/- 4 meters measures a distance of 10 meters and a caliper with a precision of +/- 0.003 meters reads 0.095 meters when measuring a distance between two different points. You divide the two numbers with a calculator app and get the solution 105.263157894737. Using the proper level of precision, what is the answer?
A. 105.26
B. 105
C. 110
Answer:


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

A balance with a precision of +/- 300 grams takes a measurement of 54200 grams, and a measuring stick with a precision of +/- 0.003 meters measures a distance as 9.832 meters. Using a computer, you divide the two values and get the output 5512.611879576892. If we write this output correctly with respect to the number of significant figures, what is the answer?
A. 5510 grams/meter
B. 5512.612 grams/meter
C. 5500 grams/meter
Answer:


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

A meter stick with a precision of +/- 0.0002 meters takes a measurement of 0.6898 meters, and a measuring flask with a precision of +/- 0.004 liters reads 0.003 liters when measuring a volume. After dividing the two numbers your calculator gives the output 229.933333333333. If we report this output properly with respect to the level of precision, what is the answer?
A. 200 meters/liter
B. 229.9 meters/liter
C. 229.933 meters/liter
Answer:


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

A measuring stick with a precision of +/- 0.004 meters takes a measurement of 0.485 meters, and a balance with a precision of +/- 0.04 grams measures a mass as 0.07 grams. Using a computer, you divide the two numbers and get the solution 6.928571428571. How would this answer look if we rounded it with the suitable number of significant figures?
A. 6.93 meters/gram
B. 6.9 meters/gram
C. 7 meters/gram
Answer:


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

A measuring flask with a precision of +/- 0.01 liters measures a volume of 5.60 liters and an analytical balance with a precision of +/- 0.03 grams reads 0.09 grams when measuring a mass. You divide the two numbers with a calculator app and get the solution 62.222222222222. Report this solution using the correct number of significant figures.
A. 60 liters/gram
B. 62.22 liters/gram
C. 62.2 liters/gram
Answer:


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

A cathetometer with a precision of +/- 0.0003 meters measures a distance of 0.0032 meters and a cathetometer with a precision of +/- 0.0001 meters reads 0.0005 meters when measuring a distance between two different points. Your calculator gets the output 6.400000000000 when dividing the former value by the latter. When this output is expressed to the correct number of significant figures, what do we get?
A. 6
B. 6.4000
C. 6.4
Answer: