prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 4.198 liters, and a cathetometer with a precision of +/- 0.0004 meters reads 0.0016 meters when measuring a distance. After dividing the two values your calculator produces the solution 2623.750000000000. How can we report this solution to the correct number of significant figures?
A. 2623.75 liters/meter
B. 2623.750 liters/meter
C. 2600 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 coincidence telemeter with a precision of +/- 0.4 meters takes a measurement of 9.6 meters, and a tape measure with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0041 meters. Your calculator gives the solution 2341.463414634146 when dividing the two values. How can we round this solution to the proper number of significant figures?
A. 2300
B. 2341.46
C. 2341.5
Answer:


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

A measuring rod with a precision of +/- 0.003 meters measures a distance of 0.367 meters and a rangefinder with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0080 meters. You divide the two numbers with a calculator and get the output 45.875000000000. How would this result look if we rounded it with the right number of significant figures?
A. 45.875
B. 46
C. 45.88
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.01 grams takes a measurement of 43.34 grams, and a Biltmore stick with a precision of +/- 0.4 meters measures a distance as 1.6 meters. Your calculator produces the solution 27.087500000000 when dividing the two values. If we report this solution suitably with respect to the level of precision, what is the result?
A. 27.09 grams/meter
B. 27.1 grams/meter
C. 27 grams/meter
Answer:


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

A coincidence telemeter with a precision of +/- 100 meters measures a distance of 1000 meters and a cathetometer with a precision of +/- 0.00002 meters reads 0.00091 meters when measuring a distance between two different points. Your computer yields the output 1098901.098901098901 when dividing the first value by the second value. When this output is reported to the correct number of significant figures, what do we get?
A. 1100000
B. 1098900
C. 1098901.10
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.03 meters takes a measurement of 0.08 meters, and a tape measure with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0001 meters. Using a computer, you divide the values and get the output 800.000000000000. When this output is written to the appropriate level of precision, what do we get?
A. 800.0
B. 800.00
C. 800
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 100 meters takes a measurement of 711800 meters, and a Biltmore stick with a precision of +/- 0.2 meters reads 716.8 meters when measuring a distance between two different points. You divide the former number by the latter with a calculator and get the output 993.024553571429. When this output is reported to the suitable level of precision, what do we get?
A. 993.0246
B. 900
C. 993.0
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 stadimeter with a precision of +/- 20 meters measures a distance of 50500 meters and a measuring tape with a precision of +/- 0.3 meters measures a distance between two different points as 9.4 meters. Your calculator app gives the solution 5372.340425531915 when dividing the numbers. Using the correct number of significant figures, what is the result?
A. 5372.34
B. 5370
C. 5400
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 2 meters takes a measurement of 7 meters, and a measuring flask with a precision of +/- 0.001 liters measures a volume as 0.878 liters. After dividing the numbers your computer gives the output 7.972665148064. When this output is rounded to the suitable number of significant figures, what do we get?
A. 8.0 meters/liter
B. 7 meters/liter
C. 8 meters/liter
Answer:


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

A rangefinder with a precision of +/- 3 meters takes a measurement of 559 meters, and a measuring rod with a precision of +/- 0.03 meters measures a distance between two different points as 30.46 meters. Using a computer, you divide the two values and get the solution 18.351936966513. If we report this solution properly with respect to the number of significant figures, what is the answer?
A. 18.4
B. 18
C. 18.352
Answer:


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

A graduated cylinder with a precision of +/- 0.001 liters takes a measurement of 4.940 liters, and a tape measure with a precision of +/- 0.0002 meters measures a distance as 0.0020 meters. Using a computer, you divide the first value by the second value and get the solution 2470.000000000000. Report this solution using the correct level of precision.
A. 2470.00 liters/meter
B. 2500 liters/meter
C. 2470.000 liters/meter
Answer:


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

A stadimeter with a precision of +/- 2 meters takes a measurement of 174 meters, and a meter stick with a precision of +/- 0.0002 meters reads 0.0006 meters when measuring a distance between two different points. Using a calculator, you divide the two values and get the solution 290000.000000000000. When this solution is written to the suitable level of precision, what do we get?
A. 290000
B. 290000.0
C. 300000
Answer:


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

A graduated cylinder with a precision of +/- 0.003 liters measures a volume of 0.071 liters and a measuring rod with a precision of +/- 0.0004 meters reads 0.0001 meters when measuring a distance. After dividing the two numbers your computer produces the solution 710.000000000000. If we write this solution suitably with respect to the level of precision, what is the result?
A. 700 liters/meter
B. 710.000 liters/meter
C. 710.0 liters/meter
Answer:


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

A chronometer with a precision of +/- 0.0004 seconds measures a duration of 0.0535 seconds and an opisometer with a precision of +/- 0.0003 meters measures a distance as 0.0023 meters. After dividing the former value by the latter your calculator app produces the output 23.260869565217. If we write this output to the right number of significant figures, what is the answer?
A. 23.26 seconds/meter
B. 23.2609 seconds/meter
C. 23 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 radar-based method with a precision of +/- 30 meters measures a distance of 2670 meters and a hydraulic scale with a precision of +/- 0.4 grams reads 1.0 grams when measuring a mass. Using a calculator app, you divide the first value by the second value and get the output 2670.000000000000. How can we express this output to the suitable level of precision?
A. 2670.00 meters/gram
B. 2670 meters/gram
C. 2700 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 hydraulic scale with a precision of +/- 200 grams measures a mass of 985200 grams and a clickwheel with a precision of +/- 0.004 meters reads 0.008 meters when measuring a distance. After dividing the two numbers your calculator app produces the output 123150000.000000000000. If we write this output appropriately with respect to the number of significant figures, what is the result?
A. 123150000 grams/meter
B. 100000000 grams/meter
C. 123150000.0 grams/meter
Answer:


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

A storage container with a precision of +/- 2 liters measures a volume of 162 liters and a balance with a precision of +/- 0.03 grams measures a mass as 5.79 grams. Your calculator yields the output 27.979274611399 when dividing the values. Round this output using the correct level of precision.
A. 28.0 liters/gram
B. 27 liters/gram
C. 27.979 liters/gram
Answer:


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

An odometer with a precision of +/- 3000 meters measures a distance of 10000 meters and an analytical balance with a precision of +/- 0.002 grams reads 0.795 grams when measuring a mass. You divide the first value by the second value with a calculator and get the output 12578.616352201258. If we round this output to the correct level of precision, what is the answer?
A. 12578.62 meters/gram
B. 13000 meters/gram
C. 12000 meters/gram
Answer:


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

A stadimeter with a precision of +/- 2 meters measures a distance of 8038 meters and a meter stick with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0963 meters. You divide the numbers with a calculator app and get the solution 83468.328141225337. When this solution is expressed to the correct level of precision, what do we get?
A. 83468
B. 83468.328
C. 83500
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 300 meters and an opisometer with a precision of +/- 0.01 meters reads 0.04 meters when measuring a distance between two different points. Your computer yields the solution 7500.000000000000 when dividing the two numbers. How can we write this solution to the suitable number of significant figures?
A. 7500
B. 7500.0
C. 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 ruler with a precision of +/- 0.2 meters takes a measurement of 442.9 meters, and a measuring rod with a precision of +/- 0.001 meters reads 0.877 meters when measuring a distance between two different points. Using a computer, you divide the numbers and get the output 505.017103762828. How would this answer look if we rounded it with the right level of precision?
A. 505.017
B. 505.0
C. 505
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.02 seconds measures a duration of 0.23 seconds and a timer with a precision of +/- 0.01 seconds measures a duration of a different event as 0.08 seconds. You divide the two values with a calculator and get the output 2.875000000000. Using the appropriate level of precision, what is the result?
A. 2.88
B. 2.9
C. 3
Answer:


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

A biltmore stick with a precision of +/- 0.04 meters measures a distance of 80.90 meters and an opisometer with a precision of +/- 3 meters reads 25 meters when measuring a distance between two different points. After dividing the numbers your computer yields the solution 3.236000000000. If we write this solution appropriately with respect to the number of significant figures, what is the result?
A. 3.2
B. 3.24
C. 3
Answer:


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

A storage container with a precision of +/- 0.4 liters takes a measurement of 37.5 liters, and a ruler with a precision of +/- 0.002 meters measures a distance as 0.071 meters. Using a computer, you divide the numbers and get the output 528.169014084507. How would this result look if we expressed it with the proper level of precision?
A. 528.17 liters/meter
B. 528.2 liters/meter
C. 530 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 radar-based method with a precision of +/- 40 meters takes a measurement of 1150 meters, and a storage container with a precision of +/- 3 liters measures a volume as 9 liters. Using a calculator, you divide the former value by the latter and get the output 127.777777777778. Express this output using the proper number of significant figures.
A. 120 meters/liter
B. 100 meters/liter
C. 127.8 meters/liter
Answer:


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

A stopwatch with a precision of +/- 0.004 seconds measures a duration of 0.344 seconds and an analytical balance with a precision of +/- 0.0003 grams measures a mass as 0.0001 grams. Your calculator gives the output 3440.000000000000 when dividing the two values. If we round this output to the suitable number of significant figures, what is the answer?
A. 3440.000 seconds/gram
B. 3000 seconds/gram
C. 3440.0 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 caliper with a precision of +/- 0.001 meters measures a distance of 0.005 meters and an opisometer with a precision of +/- 0.003 meters measures a distance between two different points as 0.005 meters. You divide the first number by the second number with a computer and get the solution 1.000000000000. If we round this solution to the correct level of precision, what is the result?
A. 1
B. 1.0
C. 1.000
Answer:


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

A stopwatch with a precision of +/- 0.2 seconds measures a duration of 78.9 seconds and a meter stick with a precision of +/- 0.0004 meters reads 0.0086 meters when measuring a distance. After dividing the values your calculator app produces the output 9174.418604651163. When this output is reported to the correct level of precision, what do we get?
A. 9174.4 seconds/meter
B. 9200 seconds/meter
C. 9174.42 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 hydraulic scale with a precision of +/- 0.03 grams measures a mass of 30.26 grams and a chronometer with a precision of +/- 0.0003 seconds measures a duration as 0.0003 seconds. Your calculator gets the solution 100866.666666666667 when dividing the two values. If we write this solution properly with respect to the number of significant figures, what is the answer?
A. 100866.7 grams/second
B. 100000 grams/second
C. 100866.67 grams/second
Answer:


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

A measuring rod with a precision of +/- 0.002 meters measures a distance of 3.924 meters and a caliper with a precision of +/- 0.02 meters measures a distance between two different points as 0.04 meters. Using a computer, you divide the two numbers and get the solution 98.100000000000. How would this result look if we expressed it with the correct level of precision?
A. 100
B. 98.10
C. 98.1
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 coincidence telemeter with a precision of +/- 300 meters takes a measurement of 35600 meters, and a timer with a precision of +/- 0.1 seconds measures a duration as 38.3 seconds. You divide the two numbers with a computer and get the solution 929.503916449086. Round this solution using the suitable level of precision.
A. 900 meters/second
B. 929.504 meters/second
C. 930 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 +/- 0.02 meters takes a measurement of 65.11 meters, and a graduated cylinder with a precision of +/- 0.001 liters reads 7.621 liters when measuring a volume. You divide the numbers with a computer and get the output 8.543498228579. How would this answer look if we rounded it with the correct number of significant figures?
A. 8.543 meters/liter
B. 8.54 meters/liter
C. 8.5435 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 graduated cylinder with a precision of +/- 0.004 liters takes a measurement of 0.360 liters, and a meter stick with a precision of +/- 0.0002 meters reads 0.0005 meters when measuring a distance. You divide the former number by the latter with a computer and get the output 720.000000000000. How can we report this output to the suitable number of significant figures?
A. 700 liters/meter
B. 720.0 liters/meter
C. 720.000 liters/meter
Answer:


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

A measuring stick with a precision of +/- 0.01 meters measures a distance of 0.04 meters and a hydraulic scale with a precision of +/- 0.0001 grams measures a mass as 0.0036 grams. After dividing the first value by the second value your calculator gives the output 11.111111111111. If we write this output properly with respect to the level of precision, what is the answer?
A. 11.1 meters/gram
B. 10 meters/gram
C. 11.11 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 coincidence telemeter with a precision of +/- 4 meters measures a distance of 6700 meters and a cathetometer with a precision of +/- 0.00004 meters reads 0.00006 meters when measuring a distance between two different points. After dividing the two values your calculator produces the output 111666666.666666666667. How can we report this output to the correct level of precision?
A. 111666666
B. 111666666.7
C. 100000000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.02 grams measures a mass of 0.27 grams and a graduated cylinder with a precision of +/- 0.001 liters reads 0.009 liters when measuring a volume. Your calculator app gives the output 30.000000000000 when dividing the first number by the second number. If we express this output suitably with respect to the number of significant figures, what is the answer?
A. 30 grams/liter
B. 30.0 grams/liter
C. 30.00 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 coincidence telemeter with a precision of +/- 3 meters takes a measurement of 99 meters, and a cathetometer with a precision of +/- 0.00004 meters measures a distance between two different points as 0.04548 meters. You divide the former value by the latter with a calculator and get the solution 2176.781002638522. Using the right level of precision, what is the answer?
A. 2176.78
B. 2176
C. 2200
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.003 meters measures a distance of 0.440 meters and a tape measure with a precision of +/- 0.003 meters measures a distance between two different points as 0.004 meters. Your computer gets the solution 110.000000000000 when dividing the two numbers. How would this result look if we wrote it with the suitable number of significant figures?
A. 110.0
B. 100
C. 110.000
Answer:


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

A coincidence telemeter with a precision of +/- 20 meters measures a distance of 4470 meters and a tape measure with a precision of +/- 0.0004 meters reads 0.0010 meters when measuring a distance between two different points. Your calculator app produces the output 4470000.000000000000 when dividing the values. How can we write this output to the right level of precision?
A. 4500000
B. 4470000.00
C. 4470000
Answer:


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

A spring scale with a precision of +/- 3 grams measures a mass of 21 grams and a chronograph with a precision of +/- 0.02 seconds reads 0.24 seconds when measuring a duration. After dividing the values your calculator gives the output 87.500000000000. Write this output using the proper level of precision.
A. 87 grams/second
B. 88 grams/second
C. 87.50 grams/second
Answer:


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

A balance with a precision of +/- 1 grams takes a measurement of 947 grams, and a clickwheel with a precision of +/- 0.1 meters reads 86.7 meters when measuring a distance. Your calculator app gets the output 10.922722029988 when dividing the two numbers. If we write this output properly with respect to the level of precision, what is the answer?
A. 10 grams/meter
B. 10.923 grams/meter
C. 10.9 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 spring scale with a precision of +/- 300 grams takes a measurement of 705800 grams, and a chronometer with a precision of +/- 0.00002 seconds measures a duration as 0.00695 seconds. Your calculator yields the output 101553956.834532374101 when dividing the former value by the latter. Write this output using the appropriate number of significant figures.
A. 101553956.835 grams/second
B. 101553900 grams/second
C. 102000000 grams/second
Answer:


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

An opisometer with a precision of +/- 3 meters measures a distance of 8135 meters and a clickwheel with a precision of +/- 0.02 meters reads 0.05 meters when measuring a distance between two different points. Using a calculator, you divide the former number by the latter and get the solution 162700.000000000000. Using the correct level of precision, what is the result?
A. 200000
B. 162700
C. 162700.0
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 rangefinder with a precision of +/- 10 meters measures a distance of 63850 meters and a spring scale with a precision of +/- 0.01 grams measures a mass as 0.55 grams. After dividing the former value by the latter your calculator app gets the output 116090.909090909091. How would this answer look if we expressed it with the suitable level of precision?
A. 120000 meters/gram
B. 116090.91 meters/gram
C. 116090 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 hydraulic scale with a precision of +/- 200 grams takes a measurement of 909400 grams, and a timer with a precision of +/- 0.001 seconds measures a duration as 0.035 seconds. Using a calculator, you divide the first value by the second value and get the output 25982857.142857142857. Express this output using the correct level of precision.
A. 25982800 grams/second
B. 26000000 grams/second
C. 25982857.14 grams/second
Answer:


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

A tape measure with a precision of +/- 0.004 meters takes a measurement of 2.973 meters, and a chronograph with a precision of +/- 0.02 seconds reads 65.04 seconds when measuring a duration. You divide the former value by the latter with a computer and get the solution 0.045710332103. If we write this solution to the suitable number of significant figures, what is the result?
A. 0.05 meters/second
B. 0.0457 meters/second
C. 0.04571 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 +/- 0.004 meters measures a distance of 1.144 meters and a tape measure with a precision of +/- 0.0003 meters reads 0.0082 meters when measuring a distance between two different points. Your calculator app yields the output 139.512195121951 when dividing the numbers. Using the appropriate number of significant figures, what is the result?
A. 140
B. 139.51
C. 139.512
Answer:


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

A graduated cylinder with a precision of +/- 0.003 liters takes a measurement of 0.803 liters, and a spring scale with a precision of +/- 0.02 grams reads 13.23 grams when measuring a mass. After dividing the numbers your computer produces the solution 0.060695389267. If we round this solution to the suitable number of significant figures, what is the result?
A. 0.061 liters/gram
B. 0.06 liters/gram
C. 0.0607 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 radar-based method with a precision of +/- 3 meters takes a measurement of 239 meters, and a Biltmore stick with a precision of +/- 0.3 meters reads 0.2 meters when measuring a distance between two different points. After dividing the former number by the latter your calculator produces the solution 1195.000000000000. How can we express this solution to the proper level of precision?
A. 1000
B. 1195
C. 1195.0
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 rod with a precision of +/- 0.0004 meters takes a measurement of 0.0242 meters, and a chronometer with a precision of +/- 0.00003 seconds measures a duration as 0.00009 seconds. Your computer gets the solution 268.888888888889 when dividing the first value by the second value. Using the suitable level of precision, what is the answer?
A. 268.9 meters/second
B. 268.8889 meters/second
C. 300 meters/second
Answer:


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

An odometer with a precision of +/- 4000 meters takes a measurement of 379000 meters, and a coincidence telemeter with a precision of +/- 20 meters reads 80 meters when measuring a distance between two different points. Using a calculator app, you divide the two values and get the output 4737.500000000000. How would this result look if we rounded it with the right level of precision?
A. 4000
B. 4737.5
C. 5000
Answer:


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

A stopwatch with a precision of +/- 0.2 seconds takes a measurement of 847.8 seconds, and a balance with a precision of +/- 0.0003 grams measures a mass as 0.0939 grams. Your computer yields the solution 9028.753993610224 when dividing the two values. When this solution is reported to the appropriate level of precision, what do we get?
A. 9028.8 seconds/gram
B. 9030 seconds/gram
C. 9028.754 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 measuring tape with a precision of +/- 0.02 meters measures a distance of 52.89 meters and a balance with a precision of +/- 0.004 grams measures a mass as 7.874 grams. After dividing the first value by the second value your calculator app yields the solution 6.717043434087. When this solution is reported to the appropriate number of significant figures, what do we get?
A. 6.7170 meters/gram
B. 6.717 meters/gram
C. 6.72 meters/gram
Answer:


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

An odometer with a precision of +/- 300 meters takes a measurement of 76800 meters, and a Biltmore stick with a precision of +/- 0.2 meters measures a distance between two different points as 34.6 meters. You divide the two values with a computer and get the output 2219.653179190751. Using the correct number of significant figures, what is the answer?
A. 2200
B. 2219.653
C. 2220
Answer:


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

A hydraulic scale with a precision of +/- 2000 grams takes a measurement of 9818000 grams, and a radar-based method with a precision of +/- 10 meters measures a distance as 80 meters. After dividing the two numbers your calculator app gets the solution 122725.000000000000. How would this answer look if we rounded it with the proper level of precision?
A. 122725.0 grams/meter
B. 122000 grams/meter
C. 100000 grams/meter
Answer:


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

A radar-based method with a precision of +/- 300 meters measures a distance of 5600 meters and a rangefinder with a precision of +/- 0.2 meters reads 0.2 meters when measuring a distance between two different points. Using a computer, you divide the two values and get the solution 28000.000000000000. When this solution is reported to the suitable level of precision, what do we get?
A. 30000
B. 28000.0
C. 28000
Answer:


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

An odometer with a precision of +/- 400 meters takes a measurement of 792800 meters, and a timer with a precision of +/- 0.04 seconds measures a duration as 51.55 seconds. You divide the two values with a calculator and get the solution 15379.243452958293. How would this answer look if we wrote it with the proper number of significant figures?
A. 15379.2435 meters/second
B. 15380 meters/second
C. 15300 meters/second
Answer:


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

A chronometer with a precision of +/- 0.0003 seconds measures a duration of 0.4003 seconds and a measuring flask with a precision of +/- 0.001 liters measures a volume as 0.001 liters. You divide the values with a computer and get the output 400.300000000000. If we write this output to the proper level of precision, what is the answer?
A. 400 seconds/liter
B. 400.3 seconds/liter
C. 400.300 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 rangefinder with a precision of +/- 1 meters takes a measurement of 262 meters, and a chronometer with a precision of +/- 0.00002 seconds measures a duration as 0.00007 seconds. You divide the former number by the latter with a computer and get the output 3742857.142857142857. If we round this output to the proper number of significant figures, what is the result?
A. 4000000 meters/second
B. 3742857 meters/second
C. 3742857.1 meters/second
Answer:


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

An analytical balance with a precision of +/- 200 grams measures a mass of 20400 grams and an opisometer with a precision of +/- 0.0004 meters measures a distance as 0.0006 meters. Your computer gives the solution 34000000.000000000000 when dividing the former value by the latter. How would this answer look if we rounded it with the right number of significant figures?
A. 34000000.0 grams/meter
B. 34000000 grams/meter
C. 30000000 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 analytical balance with a precision of +/- 0.0004 grams measures a mass of 0.1615 grams and an opisometer with a precision of +/- 0.0002 meters reads 0.0654 meters when measuring a distance. You divide the first value by the second value with a computer and get the solution 2.469418960245. If we write this solution to the appropriate number of significant figures, what is the answer?
A. 2.47 grams/meter
B. 2.469 grams/meter
C. 2.4694 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 rangefinder with a precision of +/- 0.003 meters takes a measurement of 0.440 meters, and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 0.094 liters. You divide the two values with a computer and get the output 4.680851063830. How would this result look if we wrote it with the right number of significant figures?
A. 4.681 meters/liter
B. 4.7 meters/liter
C. 4.68 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 analytical balance with a precision of +/- 0.3 grams takes a measurement of 5.7 grams, and a cathetometer with a precision of +/- 0.00003 meters reads 0.02407 meters when measuring a distance. After dividing the two numbers your calculator gets the solution 236.809306190278. If we express this solution to the suitable level of precision, what is the answer?
A. 236.81 grams/meter
B. 240 grams/meter
C. 236.8 grams/meter
Answer:


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

A biltmore stick with a precision of +/- 0.03 meters takes a measurement of 4.48 meters, and a chronometer with a precision of +/- 0.00001 seconds measures a duration as 0.00003 seconds. Your calculator yields the solution 149333.333333333333 when dividing the first number by the second number. Using the proper level of precision, what is the answer?
A. 149333.3 meters/second
B. 100000 meters/second
C. 149333.33 meters/second
Answer:


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

A stopwatch with a precision of +/- 0.004 seconds takes a measurement of 0.017 seconds, and a measuring rod with a precision of +/- 0.0001 meters measures a distance as 0.0040 meters. Using a calculator, you divide the first value by the second value and get the solution 4.250000000000. Express this solution using the suitable level of precision.
A. 4.2 seconds/meter
B. 4.25 seconds/meter
C. 4.250 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 tape measure with a precision of +/- 0.0002 meters measures a distance of 0.0051 meters and a clickwheel with a precision of +/- 0.004 meters measures a distance between two different points as 0.899 meters. Your calculator yields the solution 0.005672969967 when dividing the numbers. How can we write this solution to the correct number of significant figures?
A. 0.006
B. 0.0057
C. 0.01
Answer:


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

A radar-based method with a precision of +/- 2 meters measures a distance of 9417 meters and a tape measure with a precision of +/- 0.0003 meters reads 0.0015 meters when measuring a distance between two different points. Your calculator gets the output 6278000.000000000000 when dividing the first value by the second value. Express this output using the right number of significant figures.
A. 6278000
B. 6278000.00
C. 6300000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 84.3 meters and a rangefinder with a precision of +/- 3 meters reads 64 meters when measuring a distance between two different points. Your computer yields the output 1.317187500000 when dividing the two values. If we round this output to the right level of precision, what is the answer?
A. 1.32
B. 1
C. 1.3
Answer:


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

A measuring rod with a precision of +/- 0.001 meters measures a distance of 0.073 meters and a tape measure with a precision of +/- 0.003 meters reads 8.909 meters when measuring a distance between two different points. Using a calculator app, you divide the first value by the second value and get the solution 0.008193961163. How would this answer look if we wrote it with the correct level of precision?
A. 0.01
B. 0.0082
C. 0.008
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 2 grams measures a mass of 7781 grams and a ruler with a precision of +/- 0.0001 meters reads 0.0058 meters when measuring a distance. You divide the two numbers with a computer and get the output 1341551.724137931034. If we write this output to the appropriate number of significant figures, what is the result?
A. 1300000 grams/meter
B. 1341551 grams/meter
C. 1341551.72 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 tape measure with a precision of +/- 0.0001 meters takes a measurement of 0.0003 meters, and a caliper with a precision of +/- 0.003 meters reads 0.004 meters when measuring a distance between two different points. Using a computer, you divide the values and get the solution 0.075000000000. Using the proper level of precision, what is the answer?
A. 0.1
B. 0.075
C. 0.08
Answer:


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

A chronograph with a precision of +/- 0.1 seconds measures a duration of 9.9 seconds and a clickwheel with a precision of +/- 0.004 meters measures a distance as 0.044 meters. Your computer gets the solution 225.000000000000 when dividing the first number by the second number. How would this answer look if we wrote it with the proper level of precision?
A. 225.0 seconds/meter
B. 220 seconds/meter
C. 225.00 seconds/meter
Answer:


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

A balance with a precision of +/- 0.2 grams takes a measurement of 88.3 grams, and a Biltmore stick with a precision of +/- 0.01 meters measures a distance as 44.15 meters. You divide the former value by the latter with a calculator and get the output 2.000000000000. How can we express this output to the suitable number of significant figures?
A. 2.00 grams/meter
B. 2.000 grams/meter
C. 2.0 grams/meter
Answer:


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

A storage container with a precision of +/- 4 liters takes a measurement of 99 liters, and a caliper with a precision of +/- 0.03 meters reads 0.20 meters when measuring a distance. Using a calculator app, you divide the numbers and get the solution 495.000000000000. How would this result look if we rounded it with the suitable number of significant figures?
A. 495 liters/meter
B. 495.00 liters/meter
C. 500 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 radar-based method with a precision of +/- 1 meters measures a distance of 773 meters and a clickwheel with a precision of +/- 0.01 meters measures a distance between two different points as 0.51 meters. You divide the former value by the latter with a calculator and get the output 1515.686274509804. If we express this output to the correct number of significant figures, what is the result?
A. 1515.69
B. 1515
C. 1500
Answer:


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

An analytical balance with a precision of +/- 400 grams measures a mass of 1500 grams and a measuring rod with a precision of +/- 0.0003 meters reads 0.0054 meters when measuring a distance. Your calculator gets the output 277777.777777777778 when dividing the two values. How can we round this output to the suitable level of precision?
A. 277777.78 grams/meter
B. 280000 grams/meter
C. 277700 grams/meter
Answer:


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

A radar-based method with a precision of +/- 100 meters measures a distance of 1800 meters and a clickwheel with a precision of +/- 0.1 meters reads 4.1 meters when measuring a distance between two different points. You divide the two values with a calculator and get the output 439.024390243902. How would this result look if we rounded it with the suitable number of significant figures?
A. 400
B. 440
C. 439.02
Answer:


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

A radar-based method with a precision of +/- 4 meters takes a measurement of 964 meters, and a measuring stick with a precision of +/- 0.002 meters reads 0.001 meters when measuring a distance between two different points. Using a computer, you divide the two numbers and get the solution 964000.000000000000. If we round this solution correctly with respect to the level of precision, what is the result?
A. 964000.0
B. 1000000
C. 964000
Answer: