Question 1

When multiplying or dividing numbers, how do you determine the number of significant figures in the final answer?

Accepted Answer

The answer should have the same number of significant figures as the number with the fewest significant figures in the calculation.

Question 2

Perform the following calculation and report the answer with the correct number of significant figures: $$0.00257 	imes 87.4 	imes 15.3 \div 5.341$$

Accepted Answer

$$1.4$$

Question 3

When adding or subtracting numbers, how do you determine the number of decimal places in the final answer?

Accepted Answer

The answer should have the same number of decimal places as the number with the fewest decimal places in the calculation.

Question 4

Calculate $$212.09 - 212.2 + 2.87$$ and report the answer with the correct number of decimal places.

Accepted Answer

$$2.8$$

Question 5

Which of the following best describes the process for reporting the correct number of significant figures in a calculation involving both multiplication/division and addition/subtraction?

Accepted Answer

Perform each operation separately, applying the appropriate significant figure or decimal place rule at each step.

Question 6

Given the calculation $$(8.12 	imes 6.5) \div (2.920 + 1.11)$$, what is the answer with the correct number of significant figures?

Accepted Answer

$$11$$

Question 7

Why is it important to use the correct number of significant figures in scientific calculations?

Accepted Answer

It reflects the precision of the measurements and avoids overstating the accuracy of the results.

Question 8

Perform the following calculation and report the answer with the correct number of significant figures: $$3.7 	imes 10^2$ 	imes 2.63 	imes 10^1$ \div 6.86$$

Accepted Answer

$$140$$

Question 9

A student calculates $$42.00 - 40.915$$ and then divides by $$11.53 	imes 1.001. $$What answer should be reported with the correct number of significant figures?

Accepted Answer

$$0.0862$$

Question 10

Which of the following is a common mistake when reporting significant figures in calculations?

Accepted Answer

Using the total number of digits in the calculation instead of the rules for significant figures and decimal places.

Question 11

If you multiply $$0.0034 by$$ $$2.1$$, how many significant figures should your answer have?

Accepted Answer

2

Question 12

Which calculation would require you to round your answer to the least number of decimal places?

Accepted Answer

$$12.345 + 0.1$$

Question 13

A chemist measures three volumes: $$1.23 mL$$, $$4.567 mL$$, and $$0.89 mL. $$What is the total volume reported with the correct number of decimal places?

Accepted Answer

$$6.7 mL$$

Question 14

Which of the following best describes a significant figure?

Accepted Answer

A digit in a measurement that is known with certainty plus one digit that is estimated.

Question 15

You are given the following calculation: $$(5.00 	imes 2.1) + 3.456. $$What is the correct answer with the proper significant figures?

Accepted Answer

$$13.0$$

Question 16

A medical test result is reported as $$0.00450 g. $$How many significant figures does this value have?

Accepted Answer

3

Question 17

Which of the following numbers has the greatest number of significant figures?

Accepted Answer

$$123.45$$

Question 18

A student calculates $$7.89 	imes 0.56$$ and gets $$4.4184. $$What is the correct answer with the proper significant figures?

Accepted Answer

$$4.4$$

Question 19

Which of the following is NOT a rule for determining significant figures?

Accepted Answer

Leading zeros are significant.

Question 20

A historical experiment measured the mass of a sample as $$0.020 g. $$How many significant figures does this measurement have?

Accepted Answer

3

Significant Figures in Calculations: Multiplication, Division, Addition, and Subtraction

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