Question 1

When adding the numbers $$5.389$$, $$4.3$$, and $$0.103$$, what is the correct answer expressed with the appropriate number of significant figures?

Accepted Answer

$$9.8$$

Question 2

Which rule should be applied when multiplying or dividing numbers to determine the correct number of significant figures in the answer?

Accepted Answer

Round to the same number of significant figures as the number with the fewest significant figures.

Question 3

Calculate $$43.5287 	imes 0.05192 	imes 0.0023$$ and express your answer with the correct number of significant figures.

Accepted Answer

$$0.0051$$

Question 4

A rectangular block has side lengths $$0.50\ \mathrm{m}$$, $$0.875\ \mathrm{m}$$, and $$2.250\ \mathrm{m}. $$What is its volume, expressed with the correct number of significant figures?

Accepted Answer

$$0.98\ \mathrm{m}^3$$

Question 5

Block A has a volume of $$0.98\ \mathrm{m}^3$$ and Block B has a volume of $$2.6\ \mathrm{m}^3. $$What is the combined volume, expressed with the correct number of significant figures?

Accepted Answer

$$3.6\ \mathrm{m}^3$$

Question 6

Which of the following results is correctly rounded according to significant figure rules for the calculation $$3.86200 / (0.0987 + 0.00987) 	imes 0.1345$$?

Accepted Answer

$$5.3$$

Question 7

You measure the area of a rectangle as $$12.4081\ \mathrm{m}^2$$ and $$5.75\ \mathrm{m}^2. $$What is the sum, expressed with the correct number of decimal places?

Accepted Answer

$$18.16\ \mathrm{m}^2$$

Question 8

A student multiplies $$212.0007 by$$ $$0.005192$$ and $$0.0023. $$What is the correct answer with the proper number of significant figures?

Accepted Answer

$$0.0025$$

Question 9

Which of the following is the correct number of significant figures in the measurement $$0.005192$$?

Accepted Answer

4

Question 10

If you add $$206.4\ \mathrm{m}^2$$ and $$210\ \mathrm{m}^2$$, what is the correct sum, expressed with the proper number of significant figures?

Accepted Answer

$$416\ \mathrm{m}^2$$

Question 11

A scientist records a measurement as $$0.0103. $$How many significant figures does this value have?

Accepted Answer

3

Question 12

Which of the following calculations should be rounded to the least number of decimal places present in the original numbers?

Accepted Answer

Addition

Question 13

A measurement is recorded as $$0.875\ \mathrm{m}. $$How many significant figures does this measurement have?

Accepted Answer

3

Question 14

Which of the following is the correct answer for $$5.389 - 4.3 + 0.103$$ rounded according to significant figure rules?

Accepted Answer

$$1.192$$

Question 15

If you multiply $$0.50\ \mathrm{m}$$, $$0.875\ \mathrm{m}$$, and $$2.250\ \mathrm{m}$$, how many significant figures should your answer have?

Accepted Answer

2

Question 16

A student calculates $$3.86200 / (0.0987 + 0.00987) 	imes 0.1345$$ and gets $$5.3271415. $$How should this be rounded according to significant figure rules?

Accepted Answer

$$5.3$$

Question 17

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

Accepted Answer

For all calculations, always round to the most significant figures present.

Question 18

A measurement is recorded as $$2.250\ \mathrm{m}. $$How many significant figures does this value have?

Accepted Answer

4

Question 19

Which of the following is the correct answer for $$43.5287 	imes 0.05192 	imes 0.0023$$ rounded according to significant figure rules?

Accepted Answer

$$0.0051$$

Question 20

If you add $$12.4081\ \mathrm{m}^2$$ and $$5.75\ \mathrm{m}^2$$, what is the correct sum, expressed with the proper number of decimal places?

Accepted Answer

$$18.16\ \mathrm{m}^2$$

Significant Figures in Mathematical Operations: Rules and Applications

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