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

An odometer with a precision of +/- 100 meters takes a measurement of 700 meters, and a tape measure with a precision of +/- 0.004 meters measures a distance between two different points as 0.003 meters. Using a calculator app, you divide the former number by the latter and get the solution 233333.333333333333. If we write this solution properly with respect to the level of precision, what is the answer?
A. 200000
B. 233300
C. 233333.3
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 chronometer with a precision of +/- 0.0003 seconds takes a measurement of 0.8130 seconds, and a measuring stick with a precision of +/- 0.02 meters reads 69.59 meters when measuring a distance. Your computer gives the solution 0.011682713033 when dividing the values. How can we write this solution to the right level of precision?
A. 0.01168 seconds/meter
B. 0.01 seconds/meter
C. 0.0117 seconds/meter
Answer:


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

A stadimeter with a precision of +/- 4 meters takes a measurement of 8 meters, and a tape measure with a precision of +/- 0.003 meters measures a distance between two different points as 0.053 meters. Using a calculator, you divide the numbers and get the output 150.943396226415. If we report this output appropriately with respect to the number of significant figures, what is the answer?
A. 200
B. 150
C. 150.9
Answer:


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

A chronograph with a precision of +/- 0.3 seconds measures a duration of 90.1 seconds and a measuring rod with a precision of +/- 0.004 meters measures a distance as 0.094 meters. Your computer gives the output 958.510638297872 when dividing the values. How can we round this output to the correct number of significant figures?
A. 960 seconds/meter
B. 958.5 seconds/meter
C. 958.51 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 ruler with a precision of +/- 0.4 meters measures a distance of 68.1 meters and a chronometer with a precision of +/- 0.0002 seconds reads 0.1795 seconds when measuring a duration. Using a computer, you divide the former value by the latter and get the solution 379.387186629526. How can we round this solution to the right level of precision?
A. 379.4 meters/second
B. 379 meters/second
C. 379.387 meters/second
Answer:


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

A biltmore stick with a precision of +/- 0.03 meters takes a measurement of 0.61 meters, and a clickwheel with a precision of +/- 0.004 meters reads 0.009 meters when measuring a distance between two different points. Your computer gets the output 67.777777777778 when dividing the two values. How would this answer look if we reported it with the right number of significant figures?
A. 67.78
B. 67.8
C. 70
Answer:


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

A measuring flask with a precision of +/- 0.01 liters takes a measurement of 19.46 liters, and a timer with a precision of +/- 0.002 seconds measures a duration as 3.260 seconds. After dividing the values your calculator app gets the output 5.969325153374. If we express this output correctly with respect to the level of precision, what is the result?
A. 5.969 liters/second
B. 5.97 liters/second
C. 5.9693 liters/second
Answer:


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

A stadimeter with a precision of +/- 3 meters takes a measurement of 114 meters, and an analytical balance with a precision of +/- 0.02 grams reads 0.05 grams when measuring a mass. After dividing the former number by the latter your computer yields the solution 2280.000000000000. Write this solution using the suitable level of precision.
A. 2280.0 meters/gram
B. 2280 meters/gram
C. 2000 meters/gram
Answer:


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

A timer with a precision of +/- 0.03 seconds measures a duration of 0.50 seconds and a hydraulic scale with a precision of +/- 0.004 grams measures a mass as 0.001 grams. Using a calculator app, you divide the numbers and get the output 500.000000000000. If we round this output properly with respect to the number of significant figures, what is the result?
A. 500.00 seconds/gram
B. 500 seconds/gram
C. 500.0 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 storage container with a precision of +/- 3 liters measures a volume of 585 liters and a tape measure with a precision of +/- 0.004 meters reads 0.073 meters when measuring a distance. You divide the values with a calculator app and get the solution 8013.698630136986. If we express this solution to the appropriate number of significant figures, what is the result?
A. 8013.70 liters/meter
B. 8000 liters/meter
C. 8013 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 balance with a precision of +/- 0.02 grams takes a measurement of 7.06 grams, and a cathetometer with a precision of +/- 0.00003 meters measures a distance as 0.06577 meters. Your calculator app gets the output 107.343773757032 when dividing the numbers. How can we express this output to the suitable number of significant figures?
A. 107.344 grams/meter
B. 107 grams/meter
C. 107.34 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 +/- 0.1 meters takes a measurement of 275.5 meters, and a spring scale with a precision of +/- 0.002 grams measures a mass as 0.057 grams. Your computer produces the output 4833.333333333333 when dividing the former number by the latter. Using the proper number of significant figures, what is the answer?
A. 4833.3 meters/gram
B. 4833.33 meters/gram
C. 4800 meters/gram
Answer:


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

A rangefinder with a precision of +/- 40 meters takes a measurement of 9900 meters, and an analytical balance with a precision of +/- 0.0002 grams reads 0.0006 grams when measuring a mass. You divide the values with a computer and get the solution 16500000.000000000000. Using the proper level of precision, what is the answer?
A. 16500000.0 meters/gram
B. 20000000 meters/gram
C. 16500000 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 storage container with a precision of +/- 40 liters takes a measurement of 3230 liters, and an opisometer with a precision of +/- 0.1 meters reads 5.5 meters when measuring a distance. Using a calculator app, you divide the numbers and get the output 587.272727272727. If we round this output appropriately with respect to the number of significant figures, what is the answer?
A. 580 liters/meter
B. 587.27 liters/meter
C. 590 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 +/- 100 meters measures a distance of 29800 meters and a coincidence telemeter with a precision of +/- 3 meters reads 31 meters when measuring a distance between two different points. Your computer produces the output 961.290322580645 when dividing the first number by the second number. How would this answer look if we reported it with the proper number of significant figures?
A. 961.29
B. 960
C. 900
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 54 meters, and a graduated cylinder with a precision of +/- 0.003 liters reads 9.750 liters when measuring a volume. After dividing the first number by the second number your computer yields the output 5.538461538462. If we report this output to the correct number of significant figures, what is the answer?
A. 5.54 meters/liter
B. 5.5 meters/liter
C. 5 meters/liter
Answer:


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

An odometer with a precision of +/- 300 meters measures a distance of 85400 meters and a measuring stick with a precision of +/- 0.03 meters reads 9.03 meters when measuring a distance between two different points. You divide the former value by the latter with a calculator app and get the output 9457.364341085271. When this output is rounded to the proper number of significant figures, what do we get?
A. 9400
B. 9460
C. 9457.364
Answer:


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

A clickwheel with a precision of +/- 0.2 meters takes a measurement of 451.3 meters, and a measuring flask with a precision of +/- 0.002 liters reads 0.909 liters when measuring a volume. Your computer gives the output 496.479647964796 when dividing the two values. If we round this output to the appropriate number of significant figures, what is the answer?
A. 496.5 meters/liter
B. 496.480 meters/liter
C. 496 meters/liter
Answer:


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

An odometer with a precision of +/- 2000 meters takes a measurement of 473000 meters, and a measuring stick with a precision of +/- 0.04 meters reads 0.10 meters when measuring a distance between two different points. Using a calculator, you divide the first number by the second number and get the output 4730000.000000000000. How would this answer look if we reported it with the correct number of significant figures?
A. 4730000
B. 4730000.00
C. 4700000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 20 grams measures a mass of 62420 grams and a Biltmore stick with a precision of +/- 0.03 meters measures a distance as 59.56 meters. Your calculator app produces the output 1048.018804566823 when dividing the two values. If we report this output to the proper level of precision, what is the result?
A. 1048 grams/meter
B. 1040 grams/meter
C. 1048.0188 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 clickwheel with a precision of +/- 0.001 meters takes a measurement of 4.933 meters, and a measuring tape with a precision of +/- 0.1 meters reads 71.0 meters when measuring a distance between two different points. You divide the first value by the second value with a calculator app and get the solution 0.069478873239. Report this solution using the right number of significant figures.
A. 0.069
B. 0.1
C. 0.0695
Answer:


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

A biltmore stick with a precision of +/- 0.1 meters takes a measurement of 66.4 meters, and a Biltmore stick with a precision of +/- 0.02 meters reads 0.44 meters when measuring a distance between two different points. You divide the two values with a calculator app and get the solution 150.909090909091. If we write this solution to the appropriate number of significant figures, what is the result?
A. 150.91
B. 150.9
C. 150
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.01 seconds takes a measurement of 95.83 seconds, and a storage container with a precision of +/- 0.4 liters measures a volume as 1.0 liters. After dividing the numbers your computer yields the solution 95.830000000000. How would this answer look if we wrote it with the correct number of significant figures?
A. 96 seconds/liter
B. 95.83 seconds/liter
C. 95.8 seconds/liter
Answer:


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

A chronograph with a precision of +/- 0.003 seconds takes a measurement of 0.014 seconds, and a chronometer with a precision of +/- 0.0004 seconds reads 0.0010 seconds when measuring a duration of a different event. You divide the two values with a calculator and get the output 14.000000000000. If we write this output to the right level of precision, what is the answer?
A. 14.000
B. 14.00
C. 14
Answer:


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

A timer with a precision of +/- 0.1 seconds takes a measurement of 592.4 seconds, and a caliper with a precision of +/- 0.03 meters reads 0.81 meters when measuring a distance. Using a computer, you divide the first value by the second value and get the output 731.358024691358. When this output is rounded to the proper number of significant figures, what do we get?
A. 731.4 seconds/meter
B. 731.36 seconds/meter
C. 730 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 graduated cylinder with a precision of +/- 0.003 liters measures a volume of 0.039 liters and an opisometer with a precision of +/- 0.004 meters measures a distance as 0.001 meters. You divide the first value by the second value with a calculator app and get the output 39.000000000000. Report this output using the appropriate number of significant figures.
A. 39.000 liters/meter
B. 40 liters/meter
C. 39.0 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 coincidence telemeter with a precision of +/- 0.2 meters takes a measurement of 64.9 meters, and a clickwheel with a precision of +/- 0.002 meters measures a distance between two different points as 0.074 meters. You divide the two values with a calculator app and get the solution 877.027027027027. How would this answer look if we rounded it with the proper level of precision?
A. 880
B. 877.03
C. 877.0
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 radar-based method with a precision of +/- 10 meters takes a measurement of 40 meters, and a cathetometer with a precision of +/- 0.0003 meters measures a distance between two different points as 0.7098 meters. Your computer yields the output 56.353902507749 when dividing the former number by the latter. How can we express this output to the appropriate number of significant figures?
A. 56.4
B. 60
C. 50
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.01 grams takes a measurement of 0.02 grams, and a graduated cylinder with a precision of +/- 0.002 liters measures a volume as 0.015 liters. Your calculator gives the solution 1.333333333333 when dividing the former number by the latter. If we report this solution to the correct level of precision, what is the result?
A. 1.33 grams/liter
B. 1 grams/liter
C. 1.3 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 chronograph with a precision of +/- 0.1 seconds takes a measurement of 831.2 seconds, and a Biltmore stick with a precision of +/- 0.03 meters reads 0.54 meters when measuring a distance. Your calculator app gets the output 1539.259259259259 when dividing the first value by the second value. How can we report this output to the appropriate level of precision?
A. 1500 seconds/meter
B. 1539.26 seconds/meter
C. 1539.3 seconds/meter
Answer:


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

An odometer with a precision of +/- 100 meters takes a measurement of 583200 meters, and a timer with a precision of +/- 0.003 seconds measures a duration as 0.026 seconds. You divide the former number by the latter with a computer and get the solution 22430769.230769230769. How would this result look if we reported it with the suitable number of significant figures?
A. 22430700 meters/second
B. 22000000 meters/second
C. 22430769.23 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 +/- 3 grams measures a mass of 382 grams and a stopwatch with a precision of +/- 0.002 seconds measures a duration as 0.010 seconds. You divide the values with a calculator app and get the solution 38200.000000000000. Using the right level of precision, what is the result?
A. 38000 grams/second
B. 38200.00 grams/second
C. 38200 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 storage container with a precision of +/- 3 liters takes a measurement of 2 liters, and a tape measure with a precision of +/- 0.0004 meters measures a distance as 0.1451 meters. You divide the two values with a calculator and get the solution 13.783597518952. How can we write this solution to the proper level of precision?
A. 13.8 liters/meter
B. 10 liters/meter
C. 13 liters/meter
Answer:


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

A spring scale with a precision of +/- 0.004 grams takes a measurement of 1.018 grams, and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.001 liters. You divide the numbers with a calculator and get the solution 1018.000000000000. Round this solution using the suitable number of significant figures.
A. 1018.000 grams/liter
B. 1000 grams/liter
C. 1018.0 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 rangefinder with a precision of +/- 0.01 meters measures a distance of 0.05 meters and an analytical balance with a precision of +/- 0.04 grams measures a mass as 0.04 grams. Using a computer, you divide the former value by the latter and get the solution 1.250000000000. Express this solution using the appropriate number of significant figures.
A. 1.2 meters/gram
B. 1 meters/gram
C. 1.25 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 +/- 100 meters takes a measurement of 1000 meters, and an analytical balance with a precision of +/- 0.0004 grams measures a mass as 0.0205 grams. After dividing the two values your calculator app gets the solution 48780.487804878049. Using the appropriate number of significant figures, what is the result?
A. 48700 meters/gram
B. 48780.49 meters/gram
C. 49000 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 spring scale with a precision of +/- 0.02 grams measures a mass of 45.87 grams and a meter stick with a precision of +/- 0.0002 meters reads 0.0007 meters when measuring a distance. After dividing the two values your computer gets the output 65528.571428571429. How would this answer look if we rounded it with the correct number of significant figures?
A. 65528.57 grams/meter
B. 70000 grams/meter
C. 65528.6 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 +/- 0.3 meters measures a distance of 33.0 meters and a stadimeter with a precision of +/- 0.1 meters reads 15.7 meters when measuring a distance between two different points. Your calculator app gives the solution 2.101910828025 when dividing the first number by the second number. If we express this solution to the proper number of significant figures, what is the result?
A. 2.10
B. 2.1
C. 2.102
Answer:


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

A stadimeter with a precision of +/- 200 meters takes a measurement of 21000 meters, and a timer with a precision of +/- 0.01 seconds measures a duration as 0.58 seconds. Using a calculator, you divide the values and get the solution 36206.896551724138. How can we express this solution to the appropriate level of precision?
A. 36206.90 meters/second
B. 36000 meters/second
C. 36200 meters/second
Answer:


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

A timer with a precision of +/- 0.002 seconds measures a duration of 0.034 seconds and a caliper with a precision of +/- 0.01 meters reads 0.03 meters when measuring a distance. Your computer gets the output 1.133333333333 when dividing the first number by the second number. How can we round this output to the appropriate level of precision?
A. 1.1 seconds/meter
B. 1 seconds/meter
C. 1.13 seconds/meter
Answer:


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

An opisometer with a precision of +/- 0.002 meters measures a distance of 0.360 meters and a tape measure with a precision of +/- 0.004 meters reads 0.007 meters when measuring a distance between two different points. After dividing the two values your calculator yields the solution 51.428571428571. If we round this solution correctly with respect to the number of significant figures, what is the result?
A. 51.4
B. 51.429
C. 50
Answer:


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

A ruler with a precision of +/- 0.02 meters measures a distance of 46.12 meters and a tape measure with a precision of +/- 0.0002 meters reads 0.0002 meters when measuring a distance between two different points. After dividing the first number by the second number your computer produces the solution 230600.000000000000. Express this solution using the proper number of significant figures.
A. 200000
B. 230600.0
C. 230600.00
Answer:


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

A radar-based method with a precision of +/- 1 meters measures a distance of 7015 meters and a meter stick with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0037 meters. You divide the two numbers with a calculator and get the output 1895945.945945945946. Using the suitable number of significant figures, what is the result?
A. 1895945.95
B. 1900000
C. 1895945
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 400 meters measures a distance of 730100 meters and a rangefinder with a precision of +/- 0.001 meters reads 7.639 meters when measuring a distance between two different points. After dividing the first number by the second number your computer gets the output 95575.337086006022. How can we express this output to the proper number of significant figures?
A. 95580
B. 95500
C. 95575.3371
Answer:


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

A measuring stick with a precision of +/- 0.4 meters takes a measurement of 6.5 meters, and a balance with a precision of +/- 0.0003 grams reads 0.0097 grams when measuring a mass. You divide the two values with a calculator and get the solution 670.103092783505. If we round this solution correctly with respect to the number of significant figures, what is the result?
A. 670.10 meters/gram
B. 670.1 meters/gram
C. 670 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 caliper with a precision of +/- 0.03 meters takes a measurement of 8.49 meters, and a Biltmore stick with a precision of +/- 0.01 meters reads 0.08 meters when measuring a distance between two different points. Your calculator app yields the output 106.125000000000 when dividing the two numbers. When this output is written to the appropriate number of significant figures, what do we get?
A. 106.12
B. 100
C. 106.1
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 biltmore stick with a precision of +/- 0.3 meters measures a distance of 5.3 meters and a tape measure with a precision of +/- 0.0004 meters reads 0.0454 meters when measuring a distance between two different points. Using a calculator app, you divide the first number by the second number and get the output 116.740088105727. Report this output using the correct level of precision.
A. 120
B. 116.74
C. 116.7
Answer:


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

A chronometer with a precision of +/- 0.0001 seconds measures a duration of 0.1075 seconds and a caliper with a precision of +/- 0.002 meters measures a distance as 0.032 meters. Your calculator gives the output 3.359375000000 when dividing the two values. How can we round this output to the correct level of precision?
A. 3.4 seconds/meter
B. 3.36 seconds/meter
C. 3.359 seconds/meter
Answer:


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

A timer with a precision of +/- 0.03 seconds measures a duration of 0.89 seconds and a chronometer with a precision of +/- 0.00004 seconds measures a duration of a different event as 0.00005 seconds. Using a calculator app, you divide the two numbers and get the output 17800.000000000000. How can we express this output to the suitable level of precision?
A. 20000
B. 17800.00
C. 17800.0
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 balance with a precision of +/- 1 grams takes a measurement of 2321 grams, and a clickwheel with a precision of +/- 0.002 meters reads 7.987 meters when measuring a distance. You divide the two numbers with a calculator app and get the solution 290.597220483285. When this solution is written to the proper number of significant figures, what do we get?
A. 290 grams/meter
B. 290.5972 grams/meter
C. 290.6 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 +/- 1 meters measures a distance of 113 meters and a rangefinder with a precision of +/- 0.2 meters reads 0.4 meters when measuring a distance between two different points. Your calculator yields the solution 282.500000000000 when dividing the former number by the latter. When this solution is written to the suitable level of precision, what do we get?
A. 300
B. 282
C. 282.5
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 +/- 0.03 meters measures a distance of 54.74 meters and a Biltmore stick with a precision of +/- 0.04 meters measures a distance between two different points as 0.02 meters. You divide the first value by the second value with a computer and get the output 2737.000000000000. How can we express this output to the right level of precision?
A. 2737.00
B. 3000
C. 2737.0
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 caliper with a precision of +/- 0.001 meters takes a measurement of 0.089 meters, and a measuring flask with a precision of +/- 0.004 liters reads 0.021 liters when measuring a volume. You divide the numbers with a calculator app and get the output 4.238095238095. Using the proper level of precision, what is the answer?
A. 4.2 meters/liter
B. 4.238 meters/liter
C. 4.24 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 +/- 2 meters takes a measurement of 3 meters, and a cathetometer with a precision of +/- 0.00004 meters measures a distance between two different points as 0.00008 meters. After dividing the two numbers your calculator produces the output 37500.000000000000. If we express this output suitably with respect to the level of precision, what is the answer?
A. 37500.0
B. 40000
C. 37500
Answer:


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

A stadimeter with a precision of +/- 20 meters takes a measurement of 5970 meters, and a radar-based method with a precision of +/- 1 meters measures a distance between two different points as 9 meters. Using a computer, you divide the first value by the second value and get the solution 663.333333333333. Using the suitable number of significant figures, what is the result?
A. 660
B. 700
C. 663.3
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 stick with a precision of +/- 0.002 meters measures a distance of 2.457 meters and a ruler with a precision of +/- 0.4 meters measures a distance between two different points as 45.7 meters. Your calculator app yields the solution 0.053763676149 when dividing the former number by the latter. If we round this solution to the correct number of significant figures, what is the result?
A. 0.1
B. 0.0538
C. 0.054
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.0003 meters takes a measurement of 0.0442 meters, and a timer with a precision of +/- 0.04 seconds measures a duration as 7.53 seconds. You divide the two values with a calculator app and get the solution 0.005869853918. When this solution is written to the appropriate number of significant figures, what do we get?
A. 0.00587 meters/second
B. 0.01 meters/second
C. 0.006 meters/second
Answer:


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

A rangefinder with a precision of +/- 30 meters takes a measurement of 6960 meters, and a meter stick with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0005 meters. Your computer produces the solution 13920000.000000000000 when dividing the numbers. When this solution is expressed to the proper level of precision, what do we get?
A. 13920000.0
B. 13920000
C. 10000000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 20 grams measures a mass of 430 grams and an opisometer with a precision of +/- 0.001 meters measures a distance as 0.945 meters. After dividing the former number by the latter your calculator app gives the solution 455.026455026455. Express this solution using the appropriate level of precision.
A. 460 grams/meter
B. 450 grams/meter
C. 455.03 grams/meter
Answer:


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

A measuring rod with a precision of +/- 0.03 meters takes a measurement of 19.73 meters, and a timer with a precision of +/- 0.4 seconds reads 11.8 seconds when measuring a duration. You divide the first value by the second value with a computer and get the solution 1.672033898305. When this solution is rounded to the right number of significant figures, what do we get?
A. 1.7 meters/second
B. 1.67 meters/second
C. 1.672 meters/second
Answer:


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

A coincidence telemeter with a precision of +/- 10 meters measures a distance of 72290 meters and a stopwatch with a precision of +/- 0.3 seconds measures a duration as 711.9 seconds. You divide the values with a calculator app and get the output 101.545160837196. How can we report this output to the correct level of precision?
A. 101.5 meters/second
B. 101.5452 meters/second
C. 100 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 +/- 0.03 grams measures a mass of 0.26 grams and a stopwatch with a precision of +/- 0.001 seconds reads 0.007 seconds when measuring a duration. Your calculator gives the solution 37.142857142857 when dividing the numbers. If we express this solution appropriately with respect to the number of significant figures, what is the answer?
A. 40 grams/second
B. 37.1 grams/second
C. 37.14 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 stopwatch with a precision of +/- 0.004 seconds measures a duration of 0.817 seconds and a measuring stick with a precision of +/- 0.003 meters measures a distance as 0.042 meters. Using a calculator, you divide the two numbers and get the solution 19.452380952381. If we report this solution properly with respect to the level of precision, what is the answer?
A. 19 seconds/meter
B. 19.45 seconds/meter
C. 19.452 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 spring scale with a precision of +/- 4 grams measures a mass of 29 grams and a balance with a precision of +/- 0.04 grams reads 0.08 grams when measuring a mass of a different object. Using a computer, you divide the two numbers and get the solution 362.500000000000. When this solution is rounded to the correct number of significant figures, what do we get?
A. 400
B. 362.5
C. 362
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 7.731 liters, and a measuring flask with a precision of +/- 0.003 liters measures a volume of a different quantity of liquid as 0.007 liters. Your calculator gives the solution 1104.428571428571 when dividing the first number by the second number. If we express this solution to the appropriate number of significant figures, what is the result?
A. 1104.4
B. 1104.429
C. 1000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 100 grams takes a measurement of 2300 grams, and a meter stick with a precision of +/- 0.0004 meters reads 0.9006 meters when measuring a distance. After dividing the numbers your computer produces the output 2553.852986897624. If we express this output correctly with respect to the number of significant figures, what is the result?
A. 2553.85 grams/meter
B. 2500 grams/meter
C. 2600 grams/meter
Answer:


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

A measuring flask with a precision of +/- 0.002 liters measures a volume of 0.008 liters and a chronometer with a precision of +/- 0.00003 seconds measures a duration as 0.00661 seconds. Using a computer, you divide the values and get the output 1.210287443268. Using the correct level of precision, what is the answer?
A. 1.210 liters/second
B. 1.2 liters/second
C. 1 liters/second
Answer:


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

A rangefinder with a precision of +/- 1 meters measures a distance of 416 meters and a measuring stick with a precision of +/- 0.02 meters measures a distance between two different points as 8.85 meters. After dividing the two values your calculator app yields the solution 47.005649717514. When this solution is rounded to the appropriate level of precision, what do we get?
A. 47
B. 47.006
C. 47.0
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 radar-based method with a precision of +/- 300 meters measures a distance of 300 meters and a measuring rod with a precision of +/- 0.004 meters measures a distance between two different points as 0.009 meters. Your calculator app yields the solution 33333.333333333333 when dividing the first value by the second value. How can we report this solution to the suitable level of precision?
A. 33300
B. 30000
C. 33333.3
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 spring scale with a precision of +/- 100 grams measures a mass of 2100 grams and a measuring rod with a precision of +/- 0.001 meters measures a distance as 0.002 meters. Your calculator yields the solution 1050000.000000000000 when dividing the former value by the latter. How can we express this solution to the proper number of significant figures?
A. 1050000.0 grams/meter
B. 1000000 grams/meter
C. 1050000 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 +/- 0.01 meters measures a distance of 2.55 meters and a meter stick with a precision of +/- 0.0001 meters reads 0.0004 meters when measuring a distance between two different points. After dividing the first number by the second number your calculator yields the solution 6375.000000000000. How can we report this solution to the proper number of significant figures?
A. 6000
B. 6375.0
C. 6375.00
Answer:


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

A tape measure with a precision of +/- 0.003 meters takes a measurement of 0.003 meters, and a tape measure with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0020 meters. You divide the former number by the latter with a calculator app and get the solution 1.500000000000. How can we round this solution to the appropriate level of precision?
A. 1.5
B. 1.500
C. 2
Answer:


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

A measuring tape with a precision of +/- 0.01 meters measures a distance of 3.98 meters and a clickwheel with a precision of +/- 0.04 meters measures a distance between two different points as 48.77 meters. You divide the two values with a computer and get the solution 0.081607545622. If we round this solution to the suitable level of precision, what is the result?
A. 0.0816
B. 0.082
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).
---

An odometer with a precision of +/- 300 meters takes a measurement of 400 meters, and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.095 liters. You divide the values with a calculator app and get the solution 4210.526315789474. If we express this solution correctly with respect to the level of precision, what is the result?
A. 4000 meters/liter
B. 4210.5 meters/liter
C. 4200 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 storage container with a precision of +/- 40 liters measures a volume of 4770 liters and a timer with a precision of +/- 0.01 seconds reads 5.23 seconds when measuring a duration. Using a computer, you divide the numbers and get the output 912.045889101338. If we express this output to the correct level of precision, what is the answer?
A. 910 liters/second
B. 912 liters/second
C. 912.046 liters/second
Answer:


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

A cathetometer with a precision of +/- 0.00001 meters takes a measurement of 0.02591 meters, and a timer with a precision of +/- 0.03 seconds reads 2.62 seconds when measuring a duration. Your computer yields the solution 0.009889312977 when dividing the numbers. When this solution is reported to the suitable level of precision, what do we get?
A. 0.01 meters/second
B. 0.010 meters/second
C. 0.00989 meters/second
Answer:


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

A measuring tape with a precision of +/- 0.3 meters takes a measurement of 9.4 meters, and a measuring tape with a precision of +/- 0.01 meters reads 0.31 meters when measuring a distance between two different points. After dividing the values your computer gets the solution 30.322580645161. When this solution is rounded to the correct number of significant figures, what do we get?
A. 30.32
B. 30
C. 30.3
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 radar-based method with a precision of +/- 3 meters takes a measurement of 960 meters, and a radar-based method with a precision of +/- 1 meters reads 762 meters when measuring a distance between two different points. After dividing the first value by the second value your calculator yields the solution 1.259842519685. How can we round this solution to the right level of precision?
A. 1.26
B. 1
C. 1.260
Answer: