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

A caliper with a precision of +/- 0.003 meters measures a distance of 0.003 meters and a meter stick with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0007 meters. After dividing the first number by the second number your calculator app gives the solution 4.285714285714. If we report this solution to the correct number of significant figures, what is the result?
A. 4.286
B. 4
C. 4.3
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 balance with a precision of +/- 30 grams measures a mass of 1330 grams and a spring scale with a precision of +/- 0.0002 grams reads 0.2925 grams when measuring a mass of a different object. After dividing the numbers your calculator app gets the output 4547.008547008547. Using the appropriate number of significant figures, what is the answer?
A. 4547.009
B. 4540
C. 4550
Answer:


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

A clickwheel with a precision of +/- 0.4 meters takes a measurement of 9.9 meters, and a measuring stick with a precision of +/- 0.002 meters reads 0.010 meters when measuring a distance between two different points. You divide the first number by the second number with a calculator app and get the solution 990.000000000000. If we round this solution appropriately with respect to the number of significant figures, what is the answer?
A. 990
B. 990.00
C. 990.0
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 spring scale with a precision of +/- 0.0003 grams measures a mass of 0.9778 grams and a measuring stick with a precision of +/- 0.002 meters reads 0.027 meters when measuring a distance. After dividing the numbers your computer produces the output 36.214814814815. Express this output using the correct number of significant figures.
A. 36.215 grams/meter
B. 36.21 grams/meter
C. 36 grams/meter
Answer:


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

A spring scale with a precision of +/- 0.001 grams measures a mass of 0.951 grams and a rangefinder with a precision of +/- 0.0002 meters reads 0.0004 meters when measuring a distance. You divide the numbers with a calculator app and get the output 2377.500000000000. How would this answer look if we wrote it with the right level of precision?
A. 2377.5 grams/meter
B. 2000 grams/meter
C. 2377.500 grams/meter
Answer:


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

A caliper with a precision of +/- 0.002 meters takes a measurement of 0.028 meters, and a clickwheel with a precision of +/- 0.002 meters reads 0.006 meters when measuring a distance between two different points. Your calculator app yields the output 4.666666666667 when dividing the former value by the latter. How can we write this output to the suitable number of significant figures?
A. 5
B. 4.667
C. 4.7
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 tape measure with a precision of +/- 0.001 meters measures a distance of 3.918 meters and a graduated cylinder with a precision of +/- 0.001 liters reads 0.009 liters when measuring a volume. You divide the values with a calculator app and get the solution 435.333333333333. How can we round this solution to the appropriate number of significant figures?
A. 435.333 meters/liter
B. 435.3 meters/liter
C. 400 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 +/- 30 liters takes a measurement of 160 liters, and a timer with a precision of +/- 0.01 seconds measures a duration as 0.07 seconds. After dividing the two numbers your calculator app produces the solution 2285.714285714286. If we express this solution suitably with respect to the level of precision, what is the answer?
A. 2285.7 liters/second
B. 2280 liters/second
C. 2000 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 graduated cylinder with a precision of +/- 0.004 liters measures a volume of 3.581 liters and a cathetometer with a precision of +/- 0.00003 meters measures a distance as 0.07430 meters. After dividing the numbers your calculator yields the output 48.196500672948. If we report this output appropriately with respect to the level of precision, what is the answer?
A. 48.197 liters/meter
B. 48.1965 liters/meter
C. 48.20 liters/meter
Answer:


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

An analytical balance with a precision of +/- 100 grams takes a measurement of 492500 grams, and a clickwheel with a precision of +/- 0.1 meters measures a distance as 2.8 meters. You divide the former number by the latter with a computer and get the solution 175892.857142857143. How would this result look if we reported it with the correct level of precision?
A. 175800 grams/meter
B. 175892.86 grams/meter
C. 180000 grams/meter
Answer:


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

A spring scale with a precision of +/- 100 grams takes a measurement of 4600 grams, and a cathetometer with a precision of +/- 0.0004 meters measures a distance as 0.0003 meters. Using a calculator app, you divide the numbers and get the solution 15333333.333333333333. Round this solution using the appropriate level of precision.
A. 15333300 grams/meter
B. 15333333.3 grams/meter
C. 20000000 grams/meter
Answer:


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

A measuring flask with a precision of +/- 0.003 liters measures a volume of 2.545 liters and a caliper with a precision of +/- 0.04 meters reads 91.49 meters when measuring a distance. Using a calculator app, you divide the first number by the second number and get the output 0.027817247787. How would this result look if we wrote it with the right level of precision?
A. 0.03 liters/meter
B. 0.0278 liters/meter
C. 0.02782 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 hydraulic scale with a precision of +/- 400 grams takes a measurement of 1600 grams, and a measuring stick with a precision of +/- 0.004 meters reads 0.005 meters when measuring a distance. Your computer produces the solution 320000.000000000000 when dividing the former value by the latter. Using the correct number of significant figures, what is the result?
A. 320000 grams/meter
B. 300000 grams/meter
C. 320000.0 grams/meter
Answer:


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

A measuring stick with a precision of +/- 0.04 meters takes a measurement of 71.96 meters, and a tape measure with a precision of +/- 0.0003 meters reads 0.2983 meters when measuring a distance between two different points. After dividing the numbers your computer gives the solution 241.233657391887. If we write this solution appropriately with respect to the number of significant figures, what is the answer?
A. 241.2337
B. 241.2
C. 241.23
Answer:


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

A meter stick with a precision of +/- 0.0003 meters measures a distance of 0.0670 meters and a spring scale with a precision of +/- 0.1 grams measures a mass as 1.0 grams. You divide the numbers with a computer and get the solution 0.067000000000. If we report this solution properly with respect to the number of significant figures, what is the result?
A. 0.07 meters/gram
B. 0.067 meters/gram
C. 0.1 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 +/- 30 liters takes a measurement of 89100 liters, and a rangefinder with a precision of +/- 0.02 meters measures a distance as 22.93 meters. After dividing the former value by the latter your calculator app yields the output 3885.739206279983. How would this answer look if we wrote it with the appropriate number of significant figures?
A. 3880 liters/meter
B. 3885.7392 liters/meter
C. 3886 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 graduated cylinder with a precision of +/- 0.004 liters measures a volume of 0.385 liters and a tape measure with a precision of +/- 0.0002 meters reads 0.0038 meters when measuring a distance. After dividing the first value by the second value your computer gets the solution 101.315789473684. How can we express this solution to the appropriate level of precision?
A. 101.316 liters/meter
B. 100 liters/meter
C. 101.32 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 timer with a precision of +/- 0.02 seconds takes a measurement of 6.17 seconds, and a cathetometer with a precision of +/- 0.0002 meters reads 0.0935 meters when measuring a distance. Using a computer, you divide the first value by the second value and get the solution 65.989304812834. Using the appropriate number of significant figures, what is the result?
A. 66.0 seconds/meter
B. 65.99 seconds/meter
C. 65.989 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 +/- 10 meters measures a distance of 7290 meters and a ruler with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0004 meters. You divide the two values with a calculator app and get the output 18225000.000000000000. Round this output using the appropriate number of significant figures.
A. 20000000
B. 18225000.0
C. 18225000
Answer:


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

A coincidence telemeter with a precision of +/- 30 meters takes a measurement of 810 meters, and a measuring flask with a precision of +/- 0.003 liters reads 0.319 liters when measuring a volume. Using a calculator, you divide the first value by the second value and get the solution 2539.184952978056. Using the proper number of significant figures, what is the answer?
A. 2530 meters/liter
B. 2500 meters/liter
C. 2539.18 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 23100 meters and a measuring stick with a precision of +/- 0.004 meters measures a distance between two different points as 0.128 meters. Your calculator app gives the output 180468.750000000000 when dividing the two numbers. When this output is reported to the right number of significant figures, what do we get?
A. 180468.750
B. 180000
C. 180400
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 400 grams takes a measurement of 752500 grams, and a ruler with a precision of +/- 0.002 meters measures a distance as 0.501 meters. Using a calculator, you divide the two numbers and get the solution 1501996.007984031936. How can we write this solution to the correct level of precision?
A. 1501900 grams/meter
B. 1501996.008 grams/meter
C. 1500000 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 stadimeter with a precision of +/- 20 meters takes a measurement of 49430 meters, and a measuring flask with a precision of +/- 0.002 liters reads 1.412 liters when measuring a volume. After dividing the former value by the latter your calculator yields the solution 35007.082152974504. How can we express this solution to the proper number of significant figures?
A. 35000 meters/liter
B. 35010 meters/liter
C. 35007.0822 meters/liter
Answer:


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

A cathetometer with a precision of +/- 0.00004 meters takes a measurement of 0.06765 meters, and a meter stick with a precision of +/- 0.0004 meters reads 0.0008 meters when measuring a distance between two different points. Using a computer, you divide the values and get the solution 84.562500000000. When this solution is reported to the correct level of precision, what do we get?
A. 84.6
B. 84.5625
C. 80
Answer:


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

A storage container with a precision of +/- 2 liters takes a measurement of 961 liters, and a stopwatch with a precision of +/- 0.3 seconds measures a duration as 95.2 seconds. Your computer gives the output 10.094537815126 when dividing the first value by the second value. When this output is reported to the suitable number of significant figures, what do we get?
A. 10.1 liters/second
B. 10 liters/second
C. 10.095 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 spring scale with a precision of +/- 0.001 grams measures a mass of 6.600 grams and a graduated cylinder with a precision of +/- 0.003 liters reads 0.001 liters when measuring a volume. You divide the values with a calculator and get the output 6600.000000000000. Report this output using the right number of significant figures.
A. 7000 grams/liter
B. 6600.0 grams/liter
C. 6600.000 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 +/- 0.02 seconds takes a measurement of 67.61 seconds, and a storage container with a precision of +/- 0.4 liters reads 46.9 liters when measuring a volume. You divide the two values with a calculator and get the solution 1.441577825160. How can we write this solution to the right number of significant figures?
A. 1.442 seconds/liter
B. 1.44 seconds/liter
C. 1.4 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 tape measure with a precision of +/- 0.001 meters takes a measurement of 1.266 meters, and a caliper with a precision of +/- 0.003 meters reads 0.003 meters when measuring a distance between two different points. After dividing the numbers your calculator gives the output 422.000000000000. If we express this output suitably with respect to the number of significant figures, what is the result?
A. 400
B. 422.000
C. 422.0
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).
---

An odometer with a precision of +/- 4000 meters measures a distance of 2122000 meters and a chronograph with a precision of +/- 0.003 seconds measures a duration as 0.029 seconds. You divide the former value by the latter with a calculator and get the solution 73172413.793103448276. When this solution is written to the right number of significant figures, what do we get?
A. 73000000 meters/second
B. 73172000 meters/second
C. 73172413.79 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 graduated cylinder with a precision of +/- 0.004 liters takes a measurement of 0.003 liters, and a cathetometer with a precision of +/- 0.00003 meters measures a distance as 0.00071 meters. Your calculator app gives the output 4.225352112676 when dividing the values. If we write this output suitably with respect to the number of significant figures, what is the answer?
A. 4.2 liters/meter
B. 4.225 liters/meter
C. 4 liters/meter
Answer:


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

A chronometer with a precision of +/- 0.0004 seconds takes a measurement of 0.0086 seconds, and a tape measure with a precision of +/- 0.001 meters measures a distance as 0.003 meters. Using a calculator, you divide the values and get the output 2.866666666667. Using the proper number of significant figures, what is the answer?
A. 2.867 seconds/meter
B. 3 seconds/meter
C. 2.9 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 chronograph with a precision of +/- 0.1 seconds measures a duration of 577.0 seconds and an opisometer with a precision of +/- 0.3 meters measures a distance as 6.5 meters. Your calculator gives the output 88.769230769231 when dividing the former number by the latter. If we report this output to the right level of precision, what is the answer?
A. 89 seconds/meter
B. 88.77 seconds/meter
C. 88.8 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 storage container with a precision of +/- 1 liters takes a measurement of 81 liters, and a caliper with a precision of +/- 0.02 meters reads 29.28 meters when measuring a distance. Your calculator gets the solution 2.766393442623 when dividing the first number by the second number. Using the right number of significant figures, what is the result?
A. 2.8 liters/meter
B. 2 liters/meter
C. 2.77 liters/meter
Answer:


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

A biltmore stick with a precision of +/- 0.2 meters measures a distance of 1.2 meters and a chronometer with a precision of +/- 0.0003 seconds measures a duration as 0.0035 seconds. Your computer produces the solution 342.857142857143 when dividing the two numbers. How can we express this solution to the appropriate level of precision?
A. 340 meters/second
B. 342.9 meters/second
C. 342.86 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 spring scale with a precision of +/- 2 grams measures a mass of 51 grams and a Biltmore stick with a precision of +/- 0.1 meters reads 6.2 meters when measuring a distance. You divide the first number by the second number with a calculator app and get the output 8.225806451613. Using the right level of precision, what is the result?
A. 8.23 grams/meter
B. 8 grams/meter
C. 8.2 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 takes a measurement of 725.1 meters, and a measuring rod with a precision of +/- 0.0004 meters reads 0.2711 meters when measuring a distance between two different points. Using a computer, you divide the values and get the output 2674.658797491700. If we express this output suitably with respect to the number of significant figures, what is the answer?
A. 2674.6588
B. 2675
C. 2674.7
Answer:


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

A rangefinder with a precision of +/- 10 meters measures a distance of 40 meters and a chronometer with a precision of +/- 0.0004 seconds reads 0.0003 seconds when measuring a duration. You divide the numbers with a computer and get the output 133333.333333333333. How would this answer look if we reported it with the proper number of significant figures?
A. 100000 meters/second
B. 133330 meters/second
C. 133333.3 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 spring scale with a precision of +/- 200 grams measures a mass of 36000 grams and a clickwheel with a precision of +/- 0.1 meters reads 28.0 meters when measuring a distance. After dividing the former number by the latter your calculator app yields the solution 1285.714285714286. If we report this solution properly with respect to the number of significant figures, what is the answer?
A. 1285.714 grams/meter
B. 1200 grams/meter
C. 1290 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 balance with a precision of +/- 300 grams measures a mass of 679400 grams and a tape measure with a precision of +/- 0.0004 meters reads 0.5538 meters when measuring a distance. Using a calculator, you divide the two values and get the output 1226796.677500902853. Express this output using the suitable number of significant figures.
A. 1226796.6775 grams/meter
B. 1226700 grams/meter
C. 1227000 grams/meter
Answer:


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

An odometer with a precision of +/- 300 meters takes a measurement of 869500 meters, and a graduated cylinder with a precision of +/- 0.002 liters reads 0.789 liters when measuring a volume. Using a calculator, you divide the numbers and get the solution 1102027.883396704689. If we write this solution to the suitable number of significant figures, what is the result?
A. 1102027.883 meters/liter
B. 1102000 meters/liter
C. 1100000 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 +/- 2 liters measures a volume of 89 liters and a stopwatch with a precision of +/- 0.1 seconds measures a duration as 4.3 seconds. After dividing the values your computer yields the output 20.697674418605. Write this output using the correct number of significant figures.
A. 21 liters/second
B. 20 liters/second
C. 20.70 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 +/- 0.01 meters takes a measurement of 6.03 meters, and a cathetometer with a precision of +/- 0.00004 meters measures a distance between two different points as 0.06679 meters. Using a calculator app, you divide the values and get the solution 90.282976493487. If we write this solution properly with respect to the number of significant figures, what is the answer?
A. 90.3
B. 90.283
C. 90.28
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.02 meters measures a distance of 56.70 meters and a stopwatch with a precision of +/- 0.002 seconds reads 0.371 seconds when measuring a duration. Using a computer, you divide the two values and get the solution 152.830188679245. How can we express this solution to the proper number of significant figures?
A. 152.83 meters/second
B. 153 meters/second
C. 152.830 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 meter stick with a precision of +/- 0.0001 meters measures a distance of 0.0417 meters and a balance with a precision of +/- 0.03 grams measures a mass as 0.02 grams. You divide the two numbers with a computer and get the solution 2.085000000000. How would this result look if we rounded it with the appropriate level of precision?
A. 2.08 meters/gram
B. 2.1 meters/gram
C. 2 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 stopwatch with a precision of +/- 0.01 seconds measures a duration of 0.10 seconds and a clickwheel with a precision of +/- 0.04 meters reads 0.06 meters when measuring a distance. You divide the first number by the second number with a computer and get the solution 1.666666666667. How can we write this solution to the correct number of significant figures?
A. 2 seconds/meter
B. 1.67 seconds/meter
C. 1.7 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 +/- 0.03 meters measures a distance of 0.46 meters and a chronometer with a precision of +/- 0.00002 seconds measures a duration as 0.00006 seconds. After dividing the first number by the second number your calculator app gets the solution 7666.666666666667. Using the right level of precision, what is the answer?
A. 7666.67 meters/second
B. 7666.7 meters/second
C. 8000 meters/second
Answer:


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

A ruler with a precision of +/- 0.0004 meters takes a measurement of 0.0333 meters, and a clickwheel with a precision of +/- 0.01 meters measures a distance between two different points as 5.05 meters. Using a calculator app, you divide the former number by the latter and get the output 0.006594059406. Using the right number of significant figures, what is the result?
A. 0.007
B. 0.01
C. 0.00659
Answer:


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

A storage container with a precision of +/- 10 liters takes a measurement of 9490 liters, and a measuring rod with a precision of +/- 0.003 meters measures a distance as 0.003 meters. Using a computer, you divide the numbers and get the output 3163333.333333333333. How can we report this output to the right number of significant figures?
A. 3163333.3 liters/meter
B. 3163330 liters/meter
C. 3000000 liters/meter
Answer:


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

A radar-based method with a precision of +/- 4 meters takes a measurement of 917 meters, and a hydraulic scale with a precision of +/- 0.0001 grams reads 0.0901 grams when measuring a mass. After dividing the first value by the second value your calculator gives the output 10177.580466148724. Using the proper number of significant figures, what is the result?
A. 10200 meters/gram
B. 10177.580 meters/gram
C. 10177 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 +/- 400 meters measures a distance of 500 meters and a stopwatch with a precision of +/- 0.02 seconds measures a duration as 0.04 seconds. You divide the numbers with a calculator and get the output 12500.000000000000. How can we write this output to the suitable number of significant figures?
A. 12500.0 meters/second
B. 10000 meters/second
C. 12500 meters/second
Answer:


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

A caliper with a precision of +/- 0.01 meters measures a distance of 90.68 meters and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.004 liters. After dividing the former value by the latter your computer yields the output 22670.000000000000. If we write this output suitably with respect to the level of precision, what is the result?
A. 20000 meters/liter
B. 22670.00 meters/liter
C. 22670.0 meters/liter
Answer:


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

A balance with a precision of +/- 2 grams measures a mass of 352 grams and a measuring tape with a precision of +/- 0.04 meters measures a distance as 34.85 meters. After dividing the first number by the second number your calculator app produces the solution 10.100430416069. If we write this solution to the right level of precision, what is the answer?
A. 10.1 grams/meter
B. 10.100 grams/meter
C. 10 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 +/- 0.3 meters takes a measurement of 9.0 meters, and a meter stick with a precision of +/- 0.0002 meters reads 0.6639 meters when measuring a distance between two different points. You divide the first number by the second number with a computer and get the solution 13.556258472662. If we write this solution to the correct level of precision, what is the result?
A. 14
B. 13.56
C. 13.6
Answer:


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

A balance with a precision of +/- 10 grams measures a mass of 430 grams and a graduated cylinder with a precision of +/- 0.004 liters reads 0.032 liters when measuring a volume. You divide the former number by the latter with a calculator app and get the solution 13437.500000000000. When this solution is rounded to the appropriate number of significant figures, what do we get?
A. 13430 grams/liter
B. 13000 grams/liter
C. 13437.50 grams/liter
Answer:


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

A coincidence telemeter with a precision of +/- 10 meters takes a measurement of 73260 meters, and an opisometer with a precision of +/- 0.02 meters measures a distance between two different points as 0.02 meters. You divide the values with a computer and get the solution 3663000.000000000000. If we report this solution to the suitable level of precision, what is the result?
A. 4000000
B. 3663000
C. 3663000.0
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 storage container with a precision of +/- 20 liters measures a volume of 95140 liters and a ruler with a precision of +/- 0.4 meters measures a distance as 0.1 meters. After dividing the two values your computer produces the solution 951400.000000000000. If we round this solution to the proper number of significant figures, what is the answer?
A. 1000000 liters/meter
B. 951400.0 liters/meter
C. 951400 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 stopwatch with a precision of +/- 0.01 seconds takes a measurement of 60.87 seconds, and a timer with a precision of +/- 0.02 seconds reads 0.06 seconds when measuring a duration of a different event. After dividing the former number by the latter your calculator app gives the solution 1014.500000000000. Using the right level of precision, what is the result?
A. 1014.50
B. 1000
C. 1014.5
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 caliper with a precision of +/- 0.04 meters takes a measurement of 7.29 meters, and a caliper with a precision of +/- 0.01 meters reads 0.06 meters when measuring a distance between two different points. Using a calculator, you divide the former value by the latter and get the output 121.500000000000. Using the appropriate level of precision, what is the answer?
A. 121.50
B. 121.5
C. 100
Answer:


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

A coincidence telemeter with a precision of +/- 30 meters takes a measurement of 1500 meters, and a measuring tape with a precision of +/- 0.03 meters measures a distance between two different points as 0.13 meters. Using a calculator app, you divide the two numbers and get the output 11538.461538461538. How can we report this output to the proper number of significant figures?
A. 11538.46
B. 12000
C. 11530
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.003 grams takes a measurement of 5.178 grams, and a measuring flask with a precision of +/- 0.001 liters reads 0.052 liters when measuring a volume. After dividing the former value by the latter your calculator gets the output 99.576923076923. How would this result look if we rounded it with the right level of precision?
A. 99.58 grams/liter
B. 99.577 grams/liter
C. 100 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).
---

An odometer with a precision of +/- 300 meters measures a distance of 3100 meters and a measuring flask with a precision of +/- 0.01 liters reads 0.01 liters when measuring a volume. After dividing the values your calculator app gives the solution 310000.000000000000. How can we report this solution to the correct level of precision?
A. 310000.0 meters/liter
B. 310000 meters/liter
C. 300000 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 +/- 0.0004 meters takes a measurement of 0.8073 meters, and a chronometer with a precision of +/- 0.00002 seconds reads 0.00422 seconds when measuring a duration. Your computer yields the output 191.303317535545 when dividing the two values. How would this result look if we expressed it with the suitable number of significant figures?
A. 191.303 meters/second
B. 191.3033 meters/second
C. 191 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 graduated cylinder with a precision of +/- 0.003 liters takes a measurement of 0.758 liters, and a rangefinder with a precision of +/- 0.02 meters reads 88.97 meters when measuring a distance. Your computer produces the output 0.008519725750 when dividing the two values. When this output is expressed to the right level of precision, what do we get?
A. 0.01 liters/meter
B. 0.00852 liters/meter
C. 0.009 liters/meter
Answer:


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

A measuring tape with a precision of +/- 0.1 meters takes a measurement of 812.5 meters, and a Biltmore stick with a precision of +/- 0.02 meters reads 19.92 meters when measuring a distance between two different points. Your calculator gives the output 40.788152610442 when dividing the numbers. Using the suitable number of significant figures, what is the answer?
A. 40.8
B. 40.79
C. 40.7882
Answer:


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

A hydraulic scale with a precision of +/- 40 grams measures a mass of 95520 grams and a stopwatch with a precision of +/- 0.004 seconds reads 0.001 seconds when measuring a duration. After dividing the two numbers your calculator yields the output 95520000.000000000000. How would this result look if we rounded it with the suitable number of significant figures?
A. 95520000 grams/second
B. 100000000 grams/second
C. 95520000.0 grams/second
Answer:


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

A chronograph with a precision of +/- 0.01 seconds measures a duration of 7.91 seconds and a tape measure with a precision of +/- 0.003 meters reads 0.004 meters when measuring a distance. Using a calculator app, you divide the former number by the latter and get the output 1977.500000000000. Express this output using the suitable number of significant figures.
A. 1977.50 seconds/meter
B. 1977.5 seconds/meter
C. 2000 seconds/meter
Answer:


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

A radar-based method with a precision of +/- 20 meters takes a measurement of 29870 meters, and a stopwatch with a precision of +/- 0.3 seconds measures a duration as 99.6 seconds. Using a computer, you divide the values and get the output 299.899598393574. Using the correct number of significant figures, what is the result?
A. 299.900 meters/second
B. 300 meters/second
C. 290 meters/second
Answer:


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

An odometer with a precision of +/- 1000 meters takes a measurement of 75000 meters, and a clickwheel with a precision of +/- 0.02 meters reads 61.06 meters when measuring a distance between two different points. After dividing the two values your calculator app gives the solution 1228.300032754668. When this solution is rounded to the appropriate number of significant figures, what do we get?
A. 1200
B. 1228.30
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).
---

A measuring rod with a precision of +/- 0.0004 meters measures a distance of 0.0010 meters and a chronometer with a precision of +/- 0.00001 seconds measures a duration as 0.04178 seconds. You divide the former value by the latter with a calculator and get the solution 0.023934897080. How would this result look if we rounded it with the appropriate number of significant figures?
A. 0.02 meters/second
B. 0.0239 meters/second
C. 0.024 meters/second
Answer:


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

A radar-based method with a precision of +/- 4 meters takes a measurement of 7037 meters, and a timer with a precision of +/- 0.001 seconds measures a duration as 0.009 seconds. After dividing the former value by the latter your calculator app gives the solution 781888.888888888889. If we write this solution correctly with respect to the number of significant figures, what is the answer?
A. 800000 meters/second
B. 781888 meters/second
C. 781888.9 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 +/- 0.03 seconds takes a measurement of 99.24 seconds, and a storage container with a precision of +/- 4 liters reads 1 liters when measuring a volume. Using a computer, you divide the two values and get the solution 99.240000000000. When this solution is written to the appropriate level of precision, what do we get?
A. 99.2 seconds/liter
B. 99 seconds/liter
C. 100 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 measuring tape with a precision of +/- 0.1 meters takes a measurement of 8.0 meters, and a chronometer with a precision of +/- 0.00003 seconds measures a duration as 0.00063 seconds. You divide the numbers with a calculator and get the output 12698.412698412698. If we round this output correctly with respect to the number of significant figures, what is the result?
A. 12698.41 meters/second
B. 12698.4 meters/second
C. 13000 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 graduated cylinder with a precision of +/- 0.001 liters takes a measurement of 0.660 liters, and a rangefinder with a precision of +/- 0.003 meters reads 0.087 meters when measuring a distance. After dividing the first number by the second number your calculator produces the output 7.586206896552. How would this result look if we reported it with the right number of significant figures?
A. 7.59 liters/meter
B. 7.586 liters/meter
C. 7.6 liters/meter
Answer:


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

An odometer with a precision of +/- 100 meters measures a distance of 700 meters and a clickwheel with a precision of +/- 0.003 meters reads 0.008 meters when measuring a distance between two different points. Using a computer, you divide the first number by the second number and get the solution 87500.000000000000. When this solution is expressed to the right number of significant figures, what do we get?
A. 90000
B. 87500.0
C. 87500
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 1000 meters, and a chronograph with a precision of +/- 0.4 seconds measures a duration as 0.6 seconds. Your calculator gives the solution 1666.666666666667 when dividing the two values. How would this result look if we reported it with the suitable number of significant figures?
A. 1600 meters/second
B. 1666.7 meters/second
C. 2000 meters/second
Answer:


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

A radar-based method with a precision of +/- 40 meters measures a distance of 62940 meters and a chronometer with a precision of +/- 0.00002 seconds measures a duration as 0.00080 seconds. You divide the two values with a calculator app and get the output 78675000.000000000000. If we report this output to the suitable level of precision, what is the answer?
A. 78675000 meters/second
B. 78675000.00 meters/second
C. 79000000 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 cathetometer with a precision of +/- 0.0003 meters takes a measurement of 0.0004 meters, and a tape measure with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0048 meters. After dividing the two values your calculator produces the solution 0.083333333333. When this solution is rounded to the right number of significant figures, what do we get?
A. 0.0833
B. 0.1
C. 0.08
Answer: