prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.003 seconds measures a duration of 8.795 seconds and a cathetometer with a precision of +/- 0.00004 meters measures a distance as 0.00005 meters. Using a calculator app, you divide the former number by the latter and get the solution 175900.000000000000. How would this result look if we reported it with the appropriate level of precision?
A. 175900.0 seconds/meter
B. 175900.000000000000 seconds/meter
C. 200000 seconds/meter
D. 175900.000 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 +/- 0.3 seconds takes a measurement of 52.3 seconds, and a tape measure with a precision of +/- 0.0004 meters measures a distance as 0.0961 meters. You multiply the former value by the latter with a computer and get the solution 5.026030000000. When this solution is reported to the proper number of significant figures, what do we get?
A. 5.026030000000 meter-seconds
B. 5.03 meter-seconds
C. 5.026 meter-seconds
D. 5.0 meter-seconds
Answer:


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

A meter stick with a precision of +/- 0.0002 meters measures a distance of 0.0939 meters and a meter stick with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0064 meters. Your computer gets the solution 14.671875000000 when dividing the first number by the second number. If we write this solution properly with respect to the number of significant figures, what is the answer?
A. 15
B. 14.67
C. 14.671875000000
D. 14.6719
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 4000 meters and a chronometer with a precision of +/- 0.00003 seconds reads 0.01684 seconds when measuring a duration. Your calculator app gives the output 237529.691211401425 when dividing the former number by the latter. Express this output using the suitable number of significant figures.
A. 237500 meters/second
B. 237529.691211401425 meters/second
C. 237529.69 meters/second
D. 240000 meters/second
Answer:


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

A stadimeter with a precision of +/- 1 meters takes a measurement of 62 meters, and a stadimeter with a precision of +/- 4 meters measures a distance between two different points as 26 meters. After dividing the first number by the second number your calculator app gets the output 2.384615384615. How can we round this output to the appropriate number of significant figures?
A. 2.4
B. 2.38
C. 2.384615384615
D. 2
Answer:


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

A stadimeter with a precision of +/- 4 meters measures a distance of 835 meters and a measuring flask with a precision of +/- 0.03 liters reads 0.02 liters when measuring a volume. After dividing the first number by the second number your computer yields the output 41750.000000000000. If we express this output appropriately with respect to the level of precision, what is the result?
A. 40000 meters/liter
B. 41750.0 meters/liter
C. 41750 meters/liter
D. 41750.000000000000 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 coincidence telemeter with a precision of +/- 400 meters measures a distance of 195000 meters and a measuring flask with a precision of +/- 0.01 liters reads 5.12 liters when measuring a volume. Using a computer, you multiply the values and get the solution 998400.000000000000. If we express this solution to the appropriate level of precision, what is the result?
A. 998400.000 liter-meters
B. 998400.000000000000 liter-meters
C. 998400 liter-meters
D. 998000 liter-meters
Answer:


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

A stadimeter with a precision of +/- 2 meters measures a distance of 8 meters and a balance with a precision of +/- 0.03 grams measures a mass as 0.07 grams. You divide the former number by the latter with a calculator app and get the solution 114.285714285714. If we write this solution to the appropriate level of precision, what is the answer?
A. 114 meters/gram
B. 114.285714285714 meters/gram
C. 100 meters/gram
D. 114.3 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 takes a measurement of 3900 meters, and a spring scale with a precision of +/- 0.4 grams reads 19.7 grams when measuring a mass. After dividing the numbers your computer produces the output 197.969543147208. How can we round this output to the right level of precision?
A. 197.97 meters/gram
B. 200 meters/gram
C. 197.969543147208 meters/gram
D. 100 meters/gram
Answer:


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

A measuring stick with a precision of +/- 0.02 meters takes a measurement of 69.33 meters, and a stopwatch with a precision of +/- 0.004 seconds measures a duration as 0.009 seconds. You divide the values with a calculator app and get the solution 7703.333333333333. Report this solution using the right level of precision.
A. 7703.3 meters/second
B. 7703.333333333333 meters/second
C. 8000 meters/second
D. 7703.33 meters/second
Answer:


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

A ruler with a precision of +/- 0.4 meters measures a distance of 74.9 meters and a balance with a precision of +/- 2 grams measures a mass as 21 grams. You multiply the two values with a computer and get the solution 1572.900000000000. How can we express this solution to the suitable level of precision?
A. 1572.900000000000 gram-meters
B. 1572.90 gram-meters
C. 1572 gram-meters
D. 1600 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 0.128 liters, and a balance with a precision of +/- 0.0002 grams reads 0.0024 grams when measuring a mass. You divide the first number by the second number with a calculator and get the solution 53.333333333333. How would this result look if we reported it with the suitable level of precision?
A. 53.333 liters/gram
B. 53 liters/gram
C. 53.33 liters/gram
D. 53.333333333333 liters/gram
Answer:


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

A measuring tape with a precision of +/- 0.02 meters measures a distance of 3.83 meters and a hydraulic scale with a precision of +/- 0.4 grams measures a mass as 48.4 grams. After multiplying the former number by the latter your calculator app gets the output 185.372000000000. Round this output using the right number of significant figures.
A. 185 gram-meters
B. 185.4 gram-meters
C. 185.372 gram-meters
D. 185.372000000000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.3 seconds measures a duration of 770.9 seconds and a measuring tape with a precision of +/- 0.3 meters measures a distance as 529.7 meters. Your calculator gets the output 408345.730000000000 when multiplying the two values. If we write this output appropriately with respect to the level of precision, what is the answer?
A. 408345.7300 meter-seconds
B. 408345.7 meter-seconds
C. 408300 meter-seconds
D. 408345.730000000000 meter-seconds
Answer:


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

A radar-based method with a precision of +/- 30 meters takes a measurement of 600 meters, and an analytical balance with a precision of +/- 1 grams reads 756 grams when measuring a mass. After multiplying the former number by the latter your calculator app produces the output 453600.000000000000. If we round this output suitably with respect to the number of significant figures, what is the result?
A. 453600.00 gram-meters
B. 450000 gram-meters
C. 453600.000000000000 gram-meters
D. 453600 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.04 seconds measures a duration of 56.38 seconds and a timer with a precision of +/- 0.2 seconds reads 5.5 seconds when measuring a duration of a different event. Your calculator app gets the solution 10.250909090909 when dividing the two values. If we write this solution appropriately with respect to the number of significant figures, what is the result?
A. 10.250909090909
B. 10.25
C. 10.3
D. 10
Answer:


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

A caliper with a precision of +/- 0.001 meters measures a distance of 7.137 meters and a tape measure with a precision of +/- 0.0004 meters measures a distance between two different points as 0.2353 meters. You divide the former value by the latter with a calculator app and get the output 30.331491712707. If we express this output appropriately with respect to the number of significant figures, what is the answer?
A. 30.331491712707
B. 30.33
C. 30.331
D. 30.3315
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.004 meters measures a distance of 7.775 meters and an analytical balance with a precision of +/- 0.1 grams measures a mass as 350.6 grams. You multiply the former value by the latter with a computer and get the solution 2725.915000000000. How would this answer look if we reported it with the suitable level of precision?
A. 2725.9 gram-meters
B. 2725.9150 gram-meters
C. 2726 gram-meters
D. 2725.915000000000 gram-meters
Answer:


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

A measuring flask with a precision of +/- 0.01 liters measures a volume of 27.78 liters and a radar-based method with a precision of +/- 300 meters reads 800 meters when measuring a distance. Using a calculator app, you multiply the numbers and get the solution 22224.000000000000. If we round this solution to the proper level of precision, what is the answer?
A. 20000 liter-meters
B. 22224.0 liter-meters
C. 22224.000000000000 liter-meters
D. 22200 liter-meters
Answer:


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

A storage container with a precision of +/- 40 liters measures a volume of 35730 liters and a stopwatch with a precision of +/- 0.4 seconds measures a duration as 465.4 seconds. You multiply the former value by the latter with a computer and get the output 16628742.000000000000. How can we express this output to the suitable level of precision?
A. 16628742.000000000000 liter-seconds
B. 16628740 liter-seconds
C. 16628742.0000 liter-seconds
D. 16630000 liter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.003 meters takes a measurement of 7.254 meters, and a cathetometer with a precision of +/- 0.00004 meters measures a distance between two different points as 0.00001 meters. You divide the two values with a calculator app and get the output 725400.000000000000. Using the correct number of significant figures, what is the answer?
A. 725400.0
B. 725400.000000000000
C. 725400.000
D. 700000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 1 grams takes a measurement of 1744 grams, and a timer with a precision of +/- 0.4 seconds reads 4.7 seconds when measuring a duration. Your calculator app yields the solution 371.063829787234 when dividing the former value by the latter. Round this solution using the correct level of precision.
A. 371 grams/second
B. 371.06 grams/second
C. 370 grams/second
D. 371.063829787234 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 radar-based method with a precision of +/- 30 meters takes a measurement of 9310 meters, and a storage container with a precision of +/- 4 liters reads 958 liters when measuring a volume. Your computer produces the output 8918980.000000000000 when multiplying the first value by the second value. If we report this output appropriately with respect to the number of significant figures, what is the result?
A. 8918980.000000000000 liter-meters
B. 8920000 liter-meters
C. 8918980 liter-meters
D. 8918980.000 liter-meters
Answer:


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

A ruler with a precision of +/- 0.001 meters takes a measurement of 0.098 meters, and a balance with a precision of +/- 200 grams measures a mass as 287200 grams. Your calculator app produces the solution 28145.600000000000 when multiplying the two numbers. How would this answer look if we reported it with the suitable number of significant figures?
A. 28145.600000000000 gram-meters
B. 28145.60 gram-meters
C. 28000 gram-meters
D. 28100 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 2400 meters, and a storage container with a precision of +/- 0.1 liters measures a volume as 80.1 liters. Your computer gives the output 192240.000000000000 when multiplying the two values. Using the appropriate level of precision, what is the answer?
A. 192240.000000000000 liter-meters
B. 192240.00 liter-meters
C. 192200 liter-meters
D. 190000 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 measures a distance of 619.9 meters and a cathetometer with a precision of +/- 0.0001 meters reads 0.1083 meters when measuring a distance between two different points. You divide the first value by the second value with a computer and get the solution 5723.915050784857. Using the appropriate number of significant figures, what is the result?
A. 5724
B. 5723.9151
C. 5723.9
D. 5723.915050784857
Answer:


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

A hydraulic scale with a precision of +/- 200 grams measures a mass of 5000 grams and a caliper with a precision of +/- 0.01 meters measures a distance as 42.47 meters. Using a computer, you multiply the former value by the latter and get the output 212350.000000000000. When this output is rounded to the proper number of significant figures, what do we get?
A. 212300 gram-meters
B. 210000 gram-meters
C. 212350.00 gram-meters
D. 212350.000000000000 gram-meters
Answer:


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

A measuring flask with a precision of +/- 0.002 liters takes a measurement of 0.096 liters, and a coincidence telemeter with a precision of +/- 4 meters reads 12 meters when measuring a distance. Using a computer, you multiply the numbers and get the output 1.152000000000. If we report this output appropriately with respect to the number of significant figures, what is the answer?
A. 1.152000000000 liter-meters
B. 1.15 liter-meters
C. 1.2 liter-meters
D. 1 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 1 meters takes a measurement of 3042 meters, and a Biltmore stick with a precision of +/- 0.2 meters measures a distance between two different points as 511.7 meters. Using a calculator, you multiply the first number by the second number and get the solution 1556591.400000000000. If we report this solution suitably with respect to the level of precision, what is the answer?
A. 1556591.4000 meters^2
B. 1556591.400000000000 meters^2
C. 1556591 meters^2
D. 1557000 meters^2
Answer:


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

A spring scale with a precision of +/- 300 grams measures a mass of 64100 grams and a ruler with a precision of +/- 0.0002 meters measures a distance as 0.6792 meters. You divide the two values with a computer and get the solution 94375.736160188457. When this solution is expressed to the correct number of significant figures, what do we get?
A. 94375.736 grams/meter
B. 94300 grams/meter
C. 94375.736160188457 grams/meter
D. 94400 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 graduated cylinder with a precision of +/- 0.002 liters takes a measurement of 7.911 liters, and a stopwatch with a precision of +/- 0.1 seconds measures a duration as 66.8 seconds. You multiply the values with a calculator and get the output 528.454800000000. Using the correct level of precision, what is the answer?
A. 528.454800000000 liter-seconds
B. 528.5 liter-seconds
C. 528 liter-seconds
D. 528.455 liter-seconds
Answer:


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

A chronograph with a precision of +/- 0.003 seconds measures a duration of 4.119 seconds and a measuring flask with a precision of +/- 0.003 liters measures a volume as 0.078 liters. Using a computer, you divide the former value by the latter and get the solution 52.807692307692. How would this answer look if we reported it with the proper level of precision?
A. 53 seconds/liter
B. 52.81 seconds/liter
C. 52.807692307692 seconds/liter
D. 52.808 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 caliper with a precision of +/- 0.001 meters takes a measurement of 0.728 meters, and a measuring flask with a precision of +/- 0.01 liters reads 73.06 liters when measuring a volume. After multiplying the values your calculator produces the solution 53.187680000000. Using the appropriate level of precision, what is the answer?
A. 53.19 liter-meters
B. 53.188 liter-meters
C. 53.187680000000 liter-meters
D. 53.2 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.004 meters takes a measurement of 7.423 meters, and a clickwheel with a precision of +/- 0.2 meters measures a distance between two different points as 78.4 meters. You divide the former value by the latter with a calculator and get the solution 0.094681122449. When this solution is expressed to the correct number of significant figures, what do we get?
A. 0.095
B. 0.0947
C. 0.094681122449
D. 0.1
Answer:


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

A hydraulic scale with a precision of +/- 0.1 grams takes a measurement of 65.6 grams, and a cathetometer with a precision of +/- 0.00002 meters measures a distance as 0.04300 meters. After multiplying the two values your calculator gives the output 2.820800000000. If we express this output to the proper number of significant figures, what is the answer?
A. 2.820800000000 gram-meters
B. 2.821 gram-meters
C. 2.82 gram-meters
D. 2.8 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.00001 seconds measures a duration of 0.00479 seconds and an opisometer with a precision of +/- 2 meters reads 764 meters when measuring a distance. Using a calculator app, you multiply the former value by the latter and get the output 3.659560000000. If we write this output to the right level of precision, what is the result?
A. 3.659560000000 meter-seconds
B. 3 meter-seconds
C. 3.66 meter-seconds
D. 3.660 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.0002 meters takes a measurement of 0.0036 meters, and an opisometer with a precision of +/- 0.001 meters reads 0.001 meters when measuring a distance between two different points. You divide the former value by the latter with a computer and get the output 3.600000000000. When this output is rounded to the correct number of significant figures, what do we get?
A. 4
B. 3.600
C. 3.600000000000
D. 3.6
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 clickwheel with a precision of +/- 0.003 meters takes a measurement of 0.095 meters, and an opisometer with a precision of +/- 0.0004 meters reads 0.0004 meters when measuring a distance between two different points. Your calculator app produces the solution 237.500000000000 when dividing the first number by the second number. How can we express this solution to the right number of significant figures?
A. 237.500
B. 237.5
C. 200
D. 237.500000000000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 96.34 meters and a graduated cylinder with a precision of +/- 0.004 liters reads 6.416 liters when measuring a volume. Using a computer, you multiply the two numbers and get the solution 618.117440000000. Round this solution using the right number of significant figures.
A. 618.12 liter-meters
B. 618.1174 liter-meters
C. 618.117440000000 liter-meters
D. 618.1 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.03 meters takes a measurement of 3.72 meters, and a radar-based method with a precision of +/- 4 meters measures a distance between two different points as 50 meters. Your calculator app produces the output 186.000000000000 when multiplying the former value by the latter. If we express this output suitably with respect to the number of significant figures, what is the result?
A. 190 meters^2
B. 186 meters^2
C. 186.000000000000 meters^2
D. 186.00 meters^2
Answer:


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

A stadimeter with a precision of +/- 3 meters measures a distance of 8424 meters and a chronometer with a precision of +/- 0.0001 seconds reads 0.0007 seconds when measuring a duration. After multiplying the former number by the latter your calculator produces the solution 5.896800000000. Report this solution using the suitable level of precision.
A. 6 meter-seconds
B. 5.9 meter-seconds
C. 5.896800000000 meter-seconds
D. 5 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 1 meters measures a distance of 580 meters and a tape measure with a precision of +/- 0.0004 meters reads 0.0956 meters when measuring a distance between two different points. After dividing the two values your calculator app gives the output 6066.945606694561. Using the right level of precision, what is the result?
A. 6070
B. 6066
C. 6066.945606694561
D. 6066.946
Answer:


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

A stadimeter with a precision of +/- 400 meters takes a measurement of 895300 meters, and a ruler with a precision of +/- 0.01 meters measures a distance between two different points as 3.76 meters. After multiplying the first value by the second value your calculator app yields the output 3366328.000000000000. If we express this output to the correct number of significant figures, what is the answer?
A. 3366328.000 meters^2
B. 3366300 meters^2
C. 3366328.000000000000 meters^2
D. 3370000 meters^2
Answer:


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

A measuring flask with a precision of +/- 0.04 liters measures a volume of 5.40 liters and a stopwatch with a precision of +/- 0.03 seconds reads 65.85 seconds when measuring a duration. Using a computer, you multiply the first number by the second number and get the output 355.590000000000. How can we express this output to the suitable level of precision?
A. 355.590 liter-seconds
B. 355.590000000000 liter-seconds
C. 356 liter-seconds
D. 355.59 liter-seconds
Answer:


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

A balance with a precision of +/- 0.03 grams measures a mass of 0.74 grams and a rangefinder with a precision of +/- 1 meters reads 943 meters when measuring a distance. Your calculator app produces the output 697.820000000000 when multiplying the values. Write this output using the suitable number of significant figures.
A. 697.82 gram-meters
B. 700 gram-meters
C. 697 gram-meters
D. 697.820000000000 gram-meters
Answer:


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

A radar-based method with a precision of +/- 4 meters measures a distance of 7433 meters and a measuring stick with a precision of +/- 0.002 meters measures a distance between two different points as 0.021 meters. You divide the former number by the latter with a computer and get the solution 353952.380952380952. When this solution is written to the right number of significant figures, what do we get?
A. 353952
B. 353952.38
C. 353952.380952380952
D. 350000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 measures a distance of 0.13 meters and an opisometer with a precision of +/- 0.01 meters measures a distance between two different points as 0.09 meters. After dividing the former value by the latter your calculator app gives the output 1.444444444444. If we write this output suitably with respect to the number of significant figures, what is the result?
A. 1.444444444444
B. 1.44
C. 1.4
D. 1
Answer:


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

An analytical balance with a precision of +/- 20 grams measures a mass of 21410 grams and a measuring flask with a precision of +/- 0.03 liters measures a volume as 31.24 liters. Using a calculator, you divide the two values and get the output 685.339308578745. How would this answer look if we wrote it with the appropriate number of significant figures?
A. 685.3 grams/liter
B. 680 grams/liter
C. 685.3393 grams/liter
D. 685.339308578745 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 analytical balance with a precision of +/- 0.004 grams takes a measurement of 0.793 grams, and a chronometer with a precision of +/- 0.0003 seconds reads 0.0006 seconds when measuring a duration. After dividing the values your calculator gives the solution 1321.666666666667. How can we express this solution to the appropriate number of significant figures?
A. 1321.666666666667 grams/second
B. 1321.7 grams/second
C. 1000 grams/second
D. 1321.667 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 timer with a precision of +/- 0.04 seconds measures a duration of 0.10 seconds and a Biltmore stick with a precision of +/- 0.03 meters reads 0.09 meters when measuring a distance. You divide the former number by the latter with a calculator app and get the output 1.111111111111. Using the suitable number of significant figures, what is the answer?
A. 1.11 seconds/meter
B. 1.1 seconds/meter
C. 1.111111111111 seconds/meter
D. 1 seconds/meter
Answer:


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

A ruler with a precision of +/- 0.03 meters measures a distance of 1.56 meters and an analytical balance with a precision of +/- 2 grams measures a mass as 4356 grams. Using a calculator app, you multiply the former value by the latter and get the solution 6795.360000000000. Using the proper level of precision, what is the answer?
A. 6800 gram-meters
B. 6795 gram-meters
C. 6795.360 gram-meters
D. 6795.360000000000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.03 meters takes a measurement of 0.19 meters, and a storage container with a precision of +/- 30 liters reads 660 liters when measuring a volume. Using a calculator, you multiply the first value by the second value and get the output 125.400000000000. If we write this output to the suitable number of significant figures, what is the answer?
A. 125.400000000000 liter-meters
B. 130 liter-meters
C. 125.40 liter-meters
D. 120 liter-meters
Answer:


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

A storage container with a precision of +/- 40 liters measures a volume of 410 liters and a measuring flask with a precision of +/- 0.03 liters measures a volume of a different quantity of liquid as 57.22 liters. After multiplying the first number by the second number your calculator gets the solution 23460.200000000000. If we express this solution to the suitable level of precision, what is the result?
A. 23460 liters^2
B. 23460.20 liters^2
C. 23460.200000000000 liters^2
D. 23000 liters^2
Answer:


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

A measuring rod with a precision of +/- 0.003 meters measures a distance of 0.002 meters and a cathetometer with a precision of +/- 0.0002 meters reads 0.0004 meters when measuring a distance between two different points. After dividing the first number by the second number your calculator app produces the solution 5.000000000000. How would this result look if we rounded it with the right level of precision?
A. 5.000000000000
B. 5.000
C. 5
D. 5.0
Answer:


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

A spring scale with a precision of +/- 1 grams takes a measurement of 8903 grams, and a tape measure with a precision of +/- 0.003 meters measures a distance as 0.009 meters. After dividing the two numbers your computer gets the solution 989222.222222222222. Express this solution using the appropriate number of significant figures.
A. 1000000 grams/meter
B. 989222.2 grams/meter
C. 989222.222222222222 grams/meter
D. 989222 grams/meter
Answer:


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

A storage container with a precision of +/- 2 liters measures a volume of 9 liters and a storage container with a precision of +/- 0.2 liters reads 0.8 liters when measuring a volume of a different quantity of liquid. After dividing the former number by the latter your computer produces the output 11.250000000000. If we express this output suitably with respect to the number of significant figures, what is the answer?
A. 11.250000000000
B. 11
C. 10
D. 11.2
Answer:


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

A balance with a precision of +/- 400 grams measures a mass of 6600 grams and a balance with a precision of +/- 0.4 grams reads 52.2 grams when measuring a mass of a different object. You multiply the former value by the latter with a calculator and get the output 344520.000000000000. Round this output using the proper level of precision.
A. 344520.000000000000 grams^2
B. 344500 grams^2
C. 340000 grams^2
D. 344520.00 grams^2
Answer:


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

A biltmore stick with a precision of +/- 0.3 meters measures a distance of 416.1 meters and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 0.057 liters. Your computer gives the output 23.717700000000 when multiplying the former value by the latter. When this output is rounded to the appropriate number of significant figures, what do we get?
A. 23.717700000000 liter-meters
B. 23.72 liter-meters
C. 23.7 liter-meters
D. 24 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 0.045 meters, and a tape measure with a precision of +/- 0.001 meters reads 0.205 meters when measuring a distance between two different points. You multiply the first number by the second number with a computer and get the output 0.009225000000. How would this result look if we expressed it with the right level of precision?
A. 0.009 meters^2
B. 0.0092 meters^2
C. 0.009225000000 meters^2
D. 0.01 meters^2
Answer:


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

A spring scale with a precision of +/- 30 grams takes a measurement of 40 grams, and an analytical balance with a precision of +/- 200 grams measures a mass of a different object as 600 grams. Your calculator yields the output 24000.000000000000 when multiplying the two numbers. Using the right level of precision, what is the result?
A. 24000.0 grams^2
B. 20000 grams^2
C. 24000.000000000000 grams^2
D. 24000 grams^2
Answer:


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

A radar-based method with a precision of +/- 300 meters measures a distance of 4700 meters and a stopwatch with a precision of +/- 0.001 seconds measures a duration as 0.072 seconds. Using a computer, you divide the two numbers and get the solution 65277.777777777778. If we round this solution to the correct number of significant figures, what is the answer?
A. 65277.78 meters/second
B. 65200 meters/second
C. 65277.777777777778 meters/second
D. 65000 meters/second
Answer:


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

A stadimeter with a precision of +/- 0.3 meters takes a measurement of 80.4 meters, and a tape measure with a precision of +/- 0.001 meters reads 2.091 meters when measuring a distance between two different points. After multiplying the values your computer yields the output 168.116400000000. Write this output using the suitable level of precision.
A. 168.1 meters^2
B. 168.116 meters^2
C. 168 meters^2
D. 168.116400000000 meters^2
Answer:


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

A caliper with a precision of +/- 0.02 meters measures a distance of 38.20 meters and a coincidence telemeter with a precision of +/- 20 meters reads 9630 meters when measuring a distance between two different points. After multiplying the two numbers your calculator app gets the solution 367866.000000000000. If we round this solution to the right level of precision, what is the result?
A. 368000 meters^2
B. 367860 meters^2
C. 367866.000000000000 meters^2
D. 367866.000 meters^2
Answer:


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

A stadimeter with a precision of +/- 200 meters measures a distance of 2700 meters and a balance with a precision of +/- 30 grams reads 93250 grams when measuring a mass. Your calculator app gives the output 251775000.000000000000 when multiplying the former number by the latter. Round this output using the proper number of significant figures.
A. 251775000.000000000000 gram-meters
B. 250000000 gram-meters
C. 251775000.00 gram-meters
D. 251775000 gram-meters
Answer:


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

A stadimeter with a precision of +/- 400 meters takes a measurement of 72800 meters, and a spring scale with a precision of +/- 2 grams measures a mass as 294 grams. After multiplying the numbers your calculator gets the output 21403200.000000000000. If we report this output to the correct level of precision, what is the answer?
A. 21403200.000000000000 gram-meters
B. 21403200 gram-meters
C. 21400000 gram-meters
D. 21403200.000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 94000 meters and a measuring flask with a precision of +/- 0.02 liters reads 36.99 liters when measuring a volume. Using a computer, you divide the first number by the second number and get the output 2541.227358745607. When this output is reported to the appropriate number of significant figures, what do we get?
A. 2541.227358745607 meters/liter
B. 2500 meters/liter
C. 2541.23 meters/liter
D. 2000 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 +/- 0.3 liters takes a measurement of 4.0 liters, and a spring scale with a precision of +/- 0.001 grams reads 0.073 grams when measuring a mass. You divide the former number by the latter with a calculator and get the solution 54.794520547945. Using the suitable level of precision, what is the answer?
A. 54.79 liters/gram
B. 55 liters/gram
C. 54.794520547945 liters/gram
D. 54.8 liters/gram
Answer:


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

A cathetometer with a precision of +/- 0.0001 meters takes a measurement of 0.2070 meters, and a radar-based method with a precision of +/- 20 meters measures a distance between two different points as 2370 meters. After multiplying the numbers your calculator app gives the solution 490.590000000000. Write this solution using the suitable number of significant figures.
A. 490.590000000000 meters^2
B. 491 meters^2
C. 490.590 meters^2
D. 490 meters^2
Answer:


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

A ruler with a precision of +/- 0.0002 meters takes a measurement of 0.0466 meters, and an opisometer with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0507 meters. Your computer produces the solution 0.002362620000 when multiplying the two numbers. If we express this solution properly with respect to the level of precision, what is the answer?
A. 0.002 meters^2
B. 0.00236 meters^2
C. 0.002362620000 meters^2
D. 0.0024 meters^2
Answer:


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

A measuring tape with a precision of +/- 0.1 meters measures a distance of 178.3 meters and a spring scale with a precision of +/- 0.03 grams reads 0.27 grams when measuring a mass. Your calculator app gets the solution 660.370370370370 when dividing the first number by the second number. If we express this solution suitably with respect to the level of precision, what is the answer?
A. 660.4 meters/gram
B. 660 meters/gram
C. 660.370370370370 meters/gram
D. 660.37 meters/gram
Answer:


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

A caliper with a precision of +/- 0.03 meters measures a distance of 8.70 meters and a storage container with a precision of +/- 1 liters reads 9 liters when measuring a volume. You multiply the values with a calculator and get the solution 78.300000000000. How can we round this solution to the proper number of significant figures?
A. 78.3 liter-meters
B. 78 liter-meters
C. 78.300000000000 liter-meters
D. 80 liter-meters
Answer:


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

A tape measure with a precision of +/- 0.003 meters takes a measurement of 0.562 meters, and a cathetometer with a precision of +/- 0.0001 meters reads 0.0003 meters when measuring a distance between two different points. Using a calculator app, you divide the numbers and get the solution 1873.333333333333. If we write this solution to the suitable level of precision, what is the result?
A. 1873.333
B. 2000
C. 1873.3
D. 1873.333333333333
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 1000 meters and a timer with a precision of +/- 0.3 seconds measures a duration as 4.2 seconds. You divide the former number by the latter with a calculator app and get the output 238.095238095238. How can we report this output to the proper number of significant figures?
A. 238.10 meters/second
B. 238.095238095238 meters/second
C. 200 meters/second
D. 240 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 takes a measurement of 5.75 meters, and a hydraulic scale with a precision of +/- 200 grams measures a mass as 919400 grams. Your calculator app yields the output 5286550.000000000000 when multiplying the numbers. When this output is rounded to the correct number of significant figures, what do we get?
A. 5286550.000 gram-meters
B. 5290000 gram-meters
C. 5286500 gram-meters
D. 5286550.000000000000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 2 grams takes a measurement of 936 grams, and a measuring flask with a precision of +/- 0.01 liters reads 0.10 liters when measuring a volume. After multiplying the former number by the latter your computer produces the output 93.600000000000. If we express this output to the correct level of precision, what is the result?
A. 93 gram-liters
B. 93.60 gram-liters
C. 94 gram-liters
D. 93.600000000000 gram-liters
Answer: