Significant Figures and Scientific Notation Mastery Quiz

How many significant figures are in the number 0.00450?

• 2

• 3

• 4

• 5

Answer explanation

The number 0.00450 has 3 significant figures because all non-zero digits are significant, and zeros between non-zero digits are also significant.

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DOK Level 1: Recall

Identify the number of significant figures in the measurement 123.45.

• 3

• 4

• 5

• 6

Answer explanation

The measurement 123.45 has 5 significant figures because all non-zero digits are considered significant, and the zero between the digits 3 and 4 is also significant.

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DOK Level 1: Recall

What is the result of adding 12.11 and 0.034 with the correct number of significant figures?

• 12.144

• 12.14

• 12.1

• 12.145

Answer explanation

To add 12.11 and 0.034 with the correct number of significant figures, we get 12.144. Rounding to the correct number of significant figures gives us 12.14.

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DOK Level 2: Skill/Concept

Subtract 45.6 from 123.45 and express the answer with the correct number of significant figures.

• 77.85

• 77.9

• 77.8

• 77.850

Answer explanation

Subtracting 45.6 from 123.45 gives 77.85. Since 123.45 has 4 significant figures, the answer should have the same, resulting in 77.9.

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DOK Level 2: Skill/Concept

Multiply 6.022 by 0.10 and express the answer with the correct number of significant figures.

• 0.6022

• 0.60

• 0.6

• 0.602

Answer explanation

To multiply 6.022 by 0.10, we get 0.6022. Since 6.022 has 4 significant figures and 0.10 has 1 significant figure, the answer should have the least number of significant figures, which is 1, making the correct answer 0.6.

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DOK Level 2: Skill/Concept

Divide 123.4 by 2.0 and express the answer with the correct number of significant figures.

• 61.7

• 61.70

• 61.70

• 61.8

Answer explanation

To divide 123.4 by 2.0, we get 61.7. Since 123.4 has 4 significant figures and 2.0 has 2 significant figures, the answer should be expressed with the least number of significant figures, which is 3, resulting in 61.7.

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DOK Level 2: Skill/Concept

Convert the number 45000 to scientific notation.

Answer explanation

To convert 45000 to scientific notation, move the decimal point to the left until there is only one non-zero digit to the left. This gives 4.5 x 10^4.

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DOK Level 1: Recall

Express 0.000567 in scientific notation.

Answer explanation

To express 0.000567 in scientific notation, move the decimal point to the right until there is only one non-zero digit to the left. This gives 5.67 x 10^-4, which is equivalent to 5.67 x 10^-4.

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DOK Level 1: Recall

Round 123.456 to four significant figures.

• 123.4

• 123.5

• 123.45

• 123.46

Answer explanation

To round 123.456 to four significant figures, we look at the first four digits after the decimal point. Since the fifth digit is 6, we round up the fourth digit to get 123.46.

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DOK Level 1: Recall

A measurement is recorded as 0.00340 m. How many significant figures does this measurement have?

• 2

• 3

• 4

• 5

Answer explanation

The measurement has 3 significant figures because all non-zero digits are considered significant, and the zeros between the non-zero digits are also significant.

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DOK Level 1: Recall