prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 392100 meters and a measuring tape with a precision of +/- 0.01 meters measures a distance between two different points as 0.09 meters. You multiply the two values with a calculator and get the output 35289.000000000000. If we report this output appropriately with respect to the level of precision, what is the answer?
A. 40000 meters^2
B. 35200 meters^2
C. 35289.0 meters^2
D. 35289.000000000000 meters^2
Answer:


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

A biltmore stick with a precision of +/- 0.03 meters takes a measurement of 0.03 meters, and a measuring tape with a precision of +/- 0.04 meters reads 3.27 meters when measuring a distance between two different points. Your calculator gets the output 0.009174311927 when dividing the two numbers. Using the appropriate number of significant digits, what is the answer?
A. 0.009174311927
B. 0.009
C. 0.01
Answer:


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

A meter stick with a precision of +/- 0.0002 meters takes a measurement of 0.0597 meters, and a stadimeter with a precision of +/- 200 meters measures a distance between two different points as 300 meters. Your calculator app yields the output 17.910000000000 when multiplying the numbers. Express this output using the proper number of significant digits.
A. 20 meters^2
B. 17.910000000000 meters^2
C. 17.9 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.0004 meters measures a distance of 0.0098 meters and a ruler with a precision of +/- 0.03 meters measures a distance between two different points as 0.93 meters. After dividing the former number by the latter your calculator app yields the output 0.010537634409. When this output is expressed to the suitable number of significant digits, what do we get?
A. 0.010537634409
B. 0.01
C. 0.011
Answer:


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

An odometer with a precision of +/- 200 meters measures a distance of 190900 meters and a chronometer with a precision of +/- 0.00001 seconds reads 0.00008 seconds when measuring a duration. Your calculator gives the solution 15.272000000000 when multiplying the numbers. How would this answer look if we reported it with the proper number of significant digits?
A. 20 meter-seconds
B. 15.3 meter-seconds
C. 15.272000000000 meter-seconds
Answer:


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

A meter stick with a precision of +/- 0.0001 meters takes a measurement of 0.1255 meters, and a measuring tape with a precision of +/- 0.04 meters reads 80.57 meters when measuring a distance between two different points. Using a computer, you multiply the two numbers and get the output 10.111535000000. If we report this output to the appropriate level of precision, what is the result?
A. 10.1115 meters^2
B. 10.111535000000 meters^2
C. 10.11 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 +/- 0.4 grams takes a measurement of 76.7 grams, and a measuring stick with a precision of +/- 0.4 meters reads 36.8 meters when measuring a distance. You divide the two values with a computer and get the output 2.084239130435. Using the suitable level of precision, what is the answer?
A. 2.084239130435 grams/meter
B. 2.1 grams/meter
C. 2.084 grams/meter
D. 2.08 grams/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 measures a mass of 8565 grams and a measuring stick with a precision of +/- 0.002 meters reads 0.012 meters when measuring a distance. You divide the two numbers with a calculator and get the solution 713750.000000000000. Using the right level of precision, what is the answer?
A. 713750.00 grams/meter
B. 713750 grams/meter
C. 713750.000000000000 grams/meter
D. 710000 grams/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 1000 grams takes a measurement of 95000 grams, and a Biltmore stick with a precision of +/- 0.2 meters measures a distance as 0.9 meters. After multiplying the first value by the second value your calculator gets the output 85500.000000000000. Round this output using the suitable number of significant digits.
A. 85500.0 gram-meters
B. 85500.000000000000 gram-meters
C. 90000 gram-meters
D. 85000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.03 meters takes a measurement of 38.27 meters, and a chronograph with a precision of +/- 0.4 seconds measures a duration as 0.2 seconds. After dividing the first number by the second number your calculator app gets the output 191.350000000000. Report this output using the proper level of precision.
A. 200 meters/second
B. 191.350000000000 meters/second
C. 191.4 meters/second
Answer:


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

A measuring tape with a precision of +/- 0.3 meters measures a distance of 0.7 meters and a measuring tape with a precision of +/- 0.2 meters reads 554.5 meters when measuring a distance between two different points. Your computer gets the solution 388.150000000000 when multiplying the former number by the latter. How can we report this solution to the proper number of significant digits?
A. 388.150000000000 meters^2
B. 400 meters^2
C. 388.2 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 2000 grams takes a measurement of 2000 grams, and a caliper with a precision of +/- 0.03 meters measures a distance as 0.13 meters. After dividing the values your calculator app yields the solution 15384.615384615385. If we report this solution to the correct level of precision, what is the result?
A. 15000 grams/meter
B. 15384.615384615385 grams/meter
C. 15384.6 grams/meter
D. 20000 grams/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.2 grams measures a mass of 87.2 grams and a spring scale with a precision of +/- 3 grams reads 2390 grams when measuring a mass of a different object. After multiplying the values your calculator produces the solution 208408.000000000000. Express this solution using the proper number of significant digits.
A. 208408 grams^2
B. 208408.000000000000 grams^2
C. 208408.000 grams^2
D. 208000 grams^2
Answer:


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

A spring scale with a precision of +/- 0.3 grams takes a measurement of 3.4 grams, and a hydraulic scale with a precision of +/- 30 grams measures a mass of a different object as 55310 grams. You multiply the first value by the second value with a calculator and get the solution 188054.000000000000. When this solution is rounded to the appropriate number of significant digits, what do we get?
A. 190000 grams^2
B. 188054.00 grams^2
C. 188050 grams^2
D. 188054.000000000000 grams^2
Answer:


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

A graduated cylinder with a precision of +/- 0.004 liters measures a volume of 9.483 liters and a radar-based method with a precision of +/- 400 meters measures a distance as 71000 meters. Your computer produces the output 673293.000000000000 when multiplying the former number by the latter. Write this output using the proper number of significant digits.
A. 673200 liter-meters
B. 673293.000 liter-meters
C. 673000 liter-meters
D. 673293.000000000000 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 677500 meters and a storage container with a precision of +/- 10 liters measures a volume as 9910 liters. You multiply the two values with a calculator and get the solution 6714025000.000000000000. If we report this solution properly with respect to the level of precision, what is the result?
A. 6714025000.000000000000 liter-meters
B. 6714025000.000 liter-meters
C. 6710000000 liter-meters
D. 6714025000 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.04 meters takes a measurement of 43.46 meters, and an opisometer with a precision of +/- 0.003 meters reads 0.054 meters when measuring a distance between two different points. Using a calculator, you divide the values and get the solution 804.814814814815. Express this solution using the appropriate level of precision.
A. 804.814814814815
B. 804.81
C. 800
Answer:


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

A hydraulic scale with a precision of +/- 3000 grams measures a mass of 80000 grams and a spring scale with a precision of +/- 4 grams reads 47 grams when measuring a mass of a different object. You multiply the first value by the second value with a computer and get the output 3760000.000000000000. Using the suitable number of significant digits, what is the answer?
A. 3760000.000000000000 grams^2
B. 3800000 grams^2
C. 3760000 grams^2
D. 3760000.00 grams^2
Answer:


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

A spring scale with a precision of +/- 0.2 grams takes a measurement of 61.4 grams, and a clickwheel with a precision of +/- 0.001 meters measures a distance as 8.509 meters. After dividing the former value by the latter your calculator app gets the output 7.215889058644. If we round this output to the right number of significant digits, what is the answer?
A. 7.22 grams/meter
B. 7.215889058644 grams/meter
C. 7.216 grams/meter
D. 7.2 grams/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 535.2 meters and a ruler with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0033 meters. Your computer yields the solution 1.766160000000 when multiplying the former value by the latter. If we write this solution to the right number of significant digits, what is the result?
A. 1.8 meters^2
B. 1.77 meters^2
C. 1.766160000000 meters^2
Answer:


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

A spring scale with a precision of +/- 4 grams takes a measurement of 24 grams, and an opisometer with a precision of +/- 0.003 meters reads 0.047 meters when measuring a distance. Using a computer, you multiply the two numbers and get the output 1.128000000000. How can we write this output to the appropriate level of precision?
A. 1.1 gram-meters
B. 1 gram-meters
C. 1.13 gram-meters
D. 1.128000000000 gram-meters
Answer:


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

A spring scale with a precision of +/- 0.001 grams measures a mass of 0.057 grams and a graduated cylinder with a precision of +/- 0.002 liters reads 0.309 liters when measuring a volume. You multiply the numbers with a computer and get the solution 0.017613000000. When this solution is expressed to the correct level of precision, what do we get?
A. 0.02 gram-liters
B. 0.017613000000 gram-liters
C. 0.018 gram-liters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.001 meters takes a measurement of 0.263 meters, and a chronograph with a precision of +/- 0.1 seconds measures a duration as 489.9 seconds. Using a calculator, you divide the former number by the latter and get the solution 0.000536844254. If we report this solution to the appropriate number of significant digits, what is the answer?
A. 0.000536844254 meters/second
B. 0.001 meters/second
C. 0.000537 meters/second
Answer:


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

A chronometer with a precision of +/- 0.0003 seconds measures a duration of 0.0085 seconds and a ruler with a precision of +/- 0.0003 meters reads 0.0033 meters when measuring a distance. Your computer gets the solution 2.575757575758 when dividing the values. How can we round this solution to the appropriate number of significant digits?
A. 2.5758 seconds/meter
B. 2.575757575758 seconds/meter
C. 2.6 seconds/meter
D. 2.58 seconds/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.004 liters measures a volume of 0.071 liters and a chronograph with a precision of +/- 0.3 seconds measures a duration as 5.0 seconds. Using a calculator, you multiply the first value by the second value and get the output 0.355000000000. How can we express this output to the appropriate number of significant digits?
A. 0.355000000000 liter-seconds
B. 0.4 liter-seconds
C. 0.36 liter-seconds
Answer:


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

A storage container with a precision of +/- 30 liters measures a volume of 8850 liters and a ruler with a precision of +/- 0.0004 meters reads 0.0032 meters when measuring a distance. You divide the first value by the second value with a computer and get the output 2765625.000000000000. If we round this output suitably with respect to the level of precision, what is the result?
A. 2800000 liters/meter
B. 2765625.000000000000 liters/meter
C. 2765625.00 liters/meter
D. 2765620 liters/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.2 liters takes a measurement of 8.7 liters, and a radar-based method with a precision of +/- 200 meters reads 436500 meters when measuring a distance. You multiply the two values with a calculator app and get the solution 3797550.000000000000. When this solution is reported to the proper level of precision, what do we get?
A. 3800000 liter-meters
B. 3797500 liter-meters
C. 3797550.000000000000 liter-meters
D. 3797550.00 liter-meters
Answer:


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

A coincidence telemeter with a precision of +/- 100 meters takes a measurement of 1000 meters, and a stopwatch with a precision of +/- 0.02 seconds reads 62.19 seconds when measuring a duration. You multiply the former value by the latter with a calculator app and get the solution 62190.000000000000. How would this result look if we reported it with the right number of significant digits?
A. 62100 meter-seconds
B. 62190.00 meter-seconds
C. 62000 meter-seconds
D. 62190.000000000000 meter-seconds
Answer:


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

A clickwheel with a precision of +/- 0.2 meters takes a measurement of 0.8 meters, and a measuring tape with a precision of +/- 0.01 meters reads 4.48 meters when measuring a distance between two different points. After multiplying the two numbers your calculator yields the solution 3.584000000000. Write this solution using the proper level of precision.
A. 3.6 meters^2
B. 4 meters^2
C. 3.584000000000 meters^2
Answer:


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

An opisometer with a precision of +/- 0.002 meters takes a measurement of 0.031 meters, and a measuring stick with a precision of +/- 0.001 meters reads 2.013 meters when measuring a distance between two different points. After dividing the values your calculator app produces the solution 0.015399900646. If we report this solution to the correct level of precision, what is the result?
A. 0.015399900646
B. 0.02
C. 0.015
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 40 grams takes a measurement of 10 grams, and a stadimeter with a precision of +/- 200 meters measures a distance as 900 meters. Your calculator produces the output 9000.000000000000 when multiplying the numbers. Round this output using the suitable level of precision.
A. 9000 gram-meters
B. 9000.0 gram-meters
C. 9000.000000000000 gram-meters
Answer:


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

A ruler with a precision of +/- 0.2 meters measures a distance of 0.2 meters and a graduated cylinder with a precision of +/- 0.004 liters reads 0.009 liters when measuring a volume. You divide the numbers with a calculator app and get the solution 22.222222222222. If we express this solution to the proper level of precision, what is the result?
A. 22.2 meters/liter
B. 22.222222222222 meters/liter
C. 20 meters/liter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.004 meters takes a measurement of 0.780 meters, and a measuring flask with a precision of +/- 0.01 liters reads 0.08 liters when measuring a volume. Using a calculator, you multiply the first value by the second value and get the output 0.062400000000. If we report this output correctly with respect to the number of significant digits, what is the result?
A. 0.1 liter-meters
B. 0.062400000000 liter-meters
C. 0.06 liter-meters
Answer:


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

A spring scale with a precision of +/- 100 grams takes a measurement of 605000 grams, and a tape measure with a precision of +/- 0.004 meters measures a distance as 0.759 meters. Your computer yields the solution 797101.449275362319 when dividing the first value by the second value. Using the proper level of precision, what is the answer?
A. 797000 grams/meter
B. 797100 grams/meter
C. 797101.449 grams/meter
D. 797101.449275362319 grams/meter
Answer:


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

A spring scale with a precision of +/- 0.2 grams measures a mass of 987.0 grams and a measuring rod with a precision of +/- 0.001 meters measures a distance as 0.858 meters. You multiply the two values with a calculator and get the output 846.846000000000. If we write this output to the correct level of precision, what is the result?
A. 846.8 gram-meters
B. 846.846000000000 gram-meters
C. 847 gram-meters
D. 846.846 gram-meters
Answer:


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

A meter stick with a precision of +/- 0.0003 meters takes a measurement of 0.0808 meters, and a measuring flask with a precision of +/- 0.002 liters reads 4.749 liters when measuring a volume. Your calculator app gets the output 0.017014108233 when dividing the first value by the second value. Using the appropriate level of precision, what is the result?
A. 0.0170 meters/liter
B. 0.017014108233 meters/liter
C. 0.017 meters/liter
Answer:


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

A caliper with a precision of +/- 0.04 meters takes a measurement of 0.02 meters, and a storage container with a precision of +/- 3 liters measures a volume as 77 liters. After multiplying the former value by the latter your calculator gets the output 1.540000000000. When this output is rounded to the right level of precision, what do we get?
A. 2 liter-meters
B. 1.540000000000 liter-meters
C. 1.5 liter-meters
D. 1 liter-meters
Answer:


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

A meter stick with a precision of +/- 0.0001 meters takes a measurement of 0.6558 meters, and a timer with a precision of +/- 0.1 seconds reads 0.2 seconds when measuring a duration. Using a computer, you divide the former value by the latter and get the output 3.279000000000. How can we write this output to the appropriate level of precision?
A. 3.3 meters/second
B. 3.279000000000 meters/second
C. 3 meters/second
Answer:


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

A meter stick with a precision of +/- 0.0004 meters measures a distance of 0.3762 meters and a measuring tape with a precision of +/- 0.01 meters measures a distance between two different points as 78.51 meters. You divide the two values with a computer and get the solution 0.004791746274. When this solution is rounded to the suitable level of precision, what do we get?
A. 0.004791746274
B. 0.0048
C. 0.004792
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.0003 grams takes a measurement of 0.0320 grams, and a balance with a precision of +/- 0.0004 grams measures a mass of a different object as 0.0318 grams. Using a calculator, you divide the two values and get the solution 1.006289308176. How would this answer look if we wrote it with the right level of precision?
A. 1.01
B. 1.0063
C. 1.006289308176
D. 1.006
Answer:


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

A spring scale with a precision of +/- 0.01 grams takes a measurement of 22.03 grams, and a measuring rod with a precision of +/- 0.04 meters measures a distance as 0.40 meters. Using a computer, you divide the former value by the latter and get the output 55.075000000000. When this output is reported to the right number of significant digits, what do we get?
A. 55.08 grams/meter
B. 55.075000000000 grams/meter
C. 55 grams/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.01 meters measures a distance of 0.42 meters and an analytical balance with a precision of +/- 0.4 grams reads 0.2 grams when measuring a mass. Your computer gives the output 2.100000000000 when dividing the former number by the latter. If we report this output suitably with respect to the level of precision, what is the answer?
A. 2 meters/gram
B. 2.1 meters/gram
C. 2.100000000000 meters/gram
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 measures a distance of 26900 meters and a rangefinder with a precision of +/- 0.002 meters reads 0.634 meters when measuring a distance between two different points. After multiplying the values your computer gets the solution 17054.600000000000. How would this result look if we rounded it with the correct level of precision?
A. 17100 meters^2
B. 17054.600000000000 meters^2
C. 17000 meters^2
D. 17054.600 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 7800 meters and a balance with a precision of +/- 0.4 grams reads 27.1 grams when measuring a mass. Using a computer, you multiply the first number by the second number and get the output 211380.000000000000. How would this answer look if we reported it with the proper number of significant digits?
A. 211380.000000000000 gram-meters
B. 211380.00 gram-meters
C. 211300 gram-meters
D. 210000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.003 grams takes a measurement of 0.859 grams, and a ruler with a precision of +/- 0.003 meters reads 0.033 meters when measuring a distance. Using a calculator, you multiply the values and get the output 0.028347000000. How would this result look if we rounded it with the correct number of significant digits?
A. 0.03 gram-meters
B. 0.028347000000 gram-meters
C. 0.028 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 9.20 grams and a timer with a precision of +/- 0.004 seconds reads 7.816 seconds when measuring a duration. Using a calculator app, you multiply the former value by the latter and get the output 71.907200000000. If we report this output properly with respect to the number of significant digits, what is the result?
A. 71.9 gram-seconds
B. 71.907 gram-seconds
C. 71.91 gram-seconds
D. 71.907200000000 gram-seconds
Answer:


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

A measuring tape with a precision of +/- 0.03 meters measures a distance of 0.01 meters and a caliper with a precision of +/- 0.04 meters reads 0.09 meters when measuring a distance between two different points. After dividing the two numbers your computer yields the output 0.111111111111. If we round this output properly with respect to the number of significant digits, what is the result?
A. 0.111111111111
B. 0.11
C. 0.1
Answer:


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

A biltmore stick with a precision of +/- 0.02 meters measures a distance of 0.87 meters and a tape measure with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0348 meters. You divide the former number by the latter with a calculator app and get the output 25.000000000000. When this output is expressed to the correct level of precision, what do we get?
A. 25.000000000000
B. 25.00
C. 25
Answer:


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

A graduated cylinder with a precision of +/- 0.002 liters takes a measurement of 4.676 liters, and a radar-based method with a precision of +/- 400 meters reads 258400 meters when measuring a distance. You multiply the first number by the second number with a computer and get the output 1208278.400000000000. How would this result look if we rounded it with the right number of significant digits?
A. 1208278.400000000000 liter-meters
B. 1208278.4000 liter-meters
C. 1208000 liter-meters
D. 1208200 liter-meters
Answer:


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

A graduated cylinder with a precision of +/- 0.001 liters measures a volume of 0.090 liters and a measuring stick with a precision of +/- 0.2 meters reads 5.5 meters when measuring a distance. Your calculator gives the output 0.016363636364 when dividing the former value by the latter. If we express this output to the correct level of precision, what is the result?
A. 0.016 liters/meter
B. 0.016363636364 liters/meter
C. 0.02 liters/meter
Answer:


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

A caliper with a precision of +/- 0.02 meters takes a measurement of 0.07 meters, and a chronometer with a precision of +/- 0.00001 seconds reads 0.00068 seconds when measuring a duration. Using a computer, you divide the first value by the second value and get the output 102.941176470588. Using the proper number of significant digits, what is the result?
A. 102.94 meters/second
B. 102.9 meters/second
C. 102.941176470588 meters/second
D. 100 meters/second
Answer:


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

A measuring rod with a precision of +/- 0.0004 meters takes a measurement of 0.0733 meters, and a coincidence telemeter with a precision of +/- 400 meters measures a distance between two different points as 623400 meters. Your calculator app yields the output 45695.220000000000 when multiplying the values. If we report this output to the proper number of significant digits, what is the result?
A. 45700 meters^2
B. 45695.220000000000 meters^2
C. 45695.220 meters^2
D. 45600 meters^2
Answer:


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

A meter stick with a precision of +/- 0.0001 meters takes a measurement of 0.7216 meters, and a coincidence telemeter with a precision of +/- 3 meters measures a distance between two different points as 80 meters. Your calculator app gets the output 57.728000000000 when multiplying the first value by the second value. How can we report this output to the proper level of precision?
A. 57.728000000000 meters^2
B. 57 meters^2
C. 57.73 meters^2
D. 58 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.00003 meters measures a distance of 0.08224 meters and a measuring tape with a precision of +/- 0.2 meters measures a distance between two different points as 7.8 meters. After dividing the former number by the latter your calculator app yields the solution 0.010543589744. If we round this solution to the proper number of significant digits, what is the result?
A. 0.01
B. 0.011
C. 0.010543589744
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.0001 grams takes a measurement of 0.0063 grams, and a measuring tape with a precision of +/- 0.3 meters reads 0.1 meters when measuring a distance. Your calculator yields the solution 0.063000000000 when dividing the numbers. Report this solution using the right level of precision.
A. 0.1 grams/meter
B. 0.063000000000 grams/meter
C. 0.06 grams/meter
Answer:


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

A chronograph with a precision of +/- 0.2 seconds measures a duration of 8.5 seconds and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.044 liters. You divide the former value by the latter with a calculator app and get the output 193.181818181818. When this output is rounded to the suitable level of precision, what do we get?
A. 193.18 seconds/liter
B. 193.2 seconds/liter
C. 193.181818181818 seconds/liter
D. 190 seconds/liter
Answer:


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

A chronometer with a precision of +/- 0.0004 seconds measures a duration of 0.0022 seconds and a stadimeter with a precision of +/- 100 meters reads 70300 meters when measuring a distance. Using a calculator, you multiply the first value by the second value and get the solution 154.660000000000. How can we express this solution to the suitable level of precision?
A. 100 meter-seconds
B. 154.660000000000 meter-seconds
C. 154.66 meter-seconds
D. 150 meter-seconds
Answer:


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

A graduated cylinder with a precision of +/- 0.003 liters measures a volume of 4.054 liters and an analytical balance with a precision of +/- 0.0001 grams measures a mass as 0.0003 grams. You divide the first value by the second value with a calculator app and get the output 13513.333333333333. How can we write this output to the right number of significant digits?
A. 13513.333 liters/gram
B. 10000 liters/gram
C. 13513.333333333333 liters/gram
D. 13513.3 liters/gram
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.00003 seconds takes a measurement of 0.05570 seconds, and a tape measure with a precision of +/- 0.004 meters measures a distance as 0.029 meters. After multiplying the two values your computer gives the solution 0.001615300000. If we round this solution appropriately with respect to the level of precision, what is the result?
A. 0.001615300000 meter-seconds
B. 0.002 meter-seconds
C. 0.0016 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 measures a mass of 563.6 grams and an opisometer with a precision of +/- 0.4 meters measures a distance as 53.1 meters. You multiply the former number by the latter with a calculator and get the output 29927.160000000000. If we report this output to the right number of significant digits, what is the result?
A. 29927.160000000000 gram-meters
B. 29900 gram-meters
C. 29927.2 gram-meters
D. 29927.160 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.04 meters takes a measurement of 0.08 meters, and a rangefinder with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0007 meters. After dividing the two values your computer gets the output 114.285714285714. How can we write this output to the right level of precision?
A. 100
B. 114.285714285714
C. 114.29
D. 114.3
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.1 seconds measures a duration of 0.4 seconds and a measuring tape with a precision of +/- 0.03 meters reads 28.13 meters when measuring a distance. Using a calculator app, you multiply the numbers and get the output 11.252000000000. Using the suitable number of significant digits, what is the answer?
A. 10 meter-seconds
B. 11.3 meter-seconds
C. 11.252000000000 meter-seconds
Answer:


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

A timer with a precision of +/- 0.02 seconds takes a measurement of 9.19 seconds, and a balance with a precision of +/- 200 grams measures a mass as 100 grams. Using a computer, you divide the former number by the latter and get the solution 0.091900000000. If we express this solution correctly with respect to the number of significant digits, what is the result?
A. 0.091900000000 seconds/gram
B. 0.09 seconds/gram
C. 0.1 seconds/gram
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 takes a measurement of 0.07 seconds, and a hydraulic scale with a precision of +/- 0.3 grams reads 989.8 grams when measuring a mass. You multiply the former number by the latter with a calculator and get the solution 69.286000000000. If we write this solution to the suitable level of precision, what is the result?
A. 69.3 gram-seconds
B. 70 gram-seconds
C. 69.286000000000 gram-seconds
Answer:


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

A measuring stick with a precision of +/- 0.1 meters measures a distance of 52.0 meters and an analytical balance with a precision of +/- 0.002 grams reads 0.001 grams when measuring a mass. Your computer gets the solution 52000.000000000000 when dividing the first value by the second value. If we round this solution correctly with respect to the number of significant digits, what is the answer?
A. 52000.0 meters/gram
B. 52000.000000000000 meters/gram
C. 50000 meters/gram
Answer:


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

A coincidence telemeter with a precision of +/- 4 meters measures a distance of 3 meters and a stadimeter with a precision of +/- 0.2 meters measures a distance between two different points as 0.5 meters. Your computer yields the solution 1.500000000000 when multiplying the numbers. Round this solution using the proper number of significant digits.
A. 1.5 meters^2
B. 1 meters^2
C. 1.500000000000 meters^2
D. 2 meters^2
Answer:


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

A rangefinder with a precision of +/- 30 meters takes a measurement of 860 meters, and a coincidence telemeter with a precision of +/- 10 meters reads 40 meters when measuring a distance between two different points. You divide the numbers with a calculator app and get the output 21.500000000000. If we report this output to the proper level of precision, what is the result?
A. 21.5
B. 20
C. 21.500000000000
Answer:


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

A storage container with a precision of +/- 20 liters takes a measurement of 5190 liters, and a measuring tape with a precision of +/- 0.02 meters measures a distance as 0.06 meters. Your calculator produces the solution 311.400000000000 when multiplying the two values. Write this solution using the proper number of significant digits.
A. 311.400000000000 liter-meters
B. 300 liter-meters
C. 310 liter-meters
D. 311.4 liter-meters
Answer:


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

An opisometer with a precision of +/- 2 meters takes a measurement of 354 meters, and an odometer with a precision of +/- 2000 meters reads 9000 meters when measuring a distance between two different points. Your calculator app gets the solution 3186000.000000000000 when multiplying the values. Express this solution using the appropriate number of significant digits.
A. 3000000 meters^2
B. 3186000.000000000000 meters^2
C. 3186000 meters^2
D. 3186000.0 meters^2
Answer:


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

A measuring tape with a precision of +/- 0.4 meters measures a distance of 83.5 meters and a measuring stick with a precision of +/- 0.004 meters measures a distance between two different points as 0.025 meters. Using a calculator app, you multiply the numbers and get the solution 2.087500000000. When this solution is reported to the suitable number of significant digits, what do we get?
A. 2.087500000000 meters^2
B. 2.1 meters^2
C. 2.09 meters^2
Answer:


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

A timer with a precision of +/- 0.1 seconds takes a measurement of 853.5 seconds, and a hydraulic scale with a precision of +/- 0.03 grams reads 0.09 grams when measuring a mass. Your calculator app gives the solution 9483.333333333333 when dividing the two values. If we round this solution suitably with respect to the level of precision, what is the answer?
A. 9483.3 seconds/gram
B. 9483.333333333333 seconds/gram
C. 9000 seconds/gram
Answer:


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

A chronograph with a precision of +/- 0.3 seconds measures a duration of 64.4 seconds and a measuring stick with a precision of +/- 0.01 meters measures a distance as 0.06 meters. Your calculator yields the output 3.864000000000 when multiplying the first number by the second number. If we report this output to the right level of precision, what is the answer?
A. 4 meter-seconds
B. 3.864000000000 meter-seconds
C. 3.9 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 0.032 meters, and a chronometer with a precision of +/- 0.0003 seconds reads 0.1889 seconds when measuring a duration. After multiplying the first number by the second number your calculator app gets the output 0.006044800000. Using the right level of precision, what is the result?
A. 0.01 meter-seconds
B. 0.006 meter-seconds
C. 0.0060 meter-seconds
D. 0.006044800000 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 0.705 meters, and a measuring stick with a precision of +/- 0.003 meters reads 2.997 meters when measuring a distance between two different points. Your calculator app yields the output 2.112885000000 when multiplying the two numbers. If we round this output properly with respect to the level of precision, what is the result?
A. 2.113 meters^2
B. 2.11 meters^2
C. 2.112885000000 meters^2
Answer:


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

A rangefinder with a precision of +/- 10 meters takes a measurement of 890 meters, and an analytical balance with a precision of +/- 4 grams reads 3 grams when measuring a mass. Your calculator gives the output 296.666666666667 when dividing the values. If we write this output to the appropriate number of significant digits, what is the result?
A. 300 meters/gram
B. 290 meters/gram
C. 296.7 meters/gram
D. 296.666666666667 meters/gram
Answer:


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

A coincidence telemeter with a precision of +/- 4 meters takes a measurement of 1 meters, and a meter stick with a precision of +/- 0.0002 meters reads 0.0722 meters when measuring a distance between two different points. Your calculator app yields the solution 13.850415512465 when dividing the two numbers. If we round this solution correctly with respect to the number of significant digits, what is the result?
A. 13.850415512465
B. 13.9
C. 10
D. 13
Answer: