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Powers of Ten Worksheet

A Grade 12 math worksheet on powers of ten, covering scientific notation, orders of magnitude, and calculations involving exponents.

Grade 12 Math Number SensePowers of Ten
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.cCCSS.MATH.CONTENT.HSN.RN.A.2

Topics

MathGrade 12Powers of TenScientific NotationExponents
7 sections · Free to use · Printable
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Powers of Ten Review

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Date:

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Read each question carefully and answer to the best of your ability. Show all work where applicable.

1. Which of the following represents the number 0.0000000098 in scientific notation?

a

9.8 x 10^9

b

9.8 x 10^-9

c

98 x 10^-10

d

0.98 x 10^-8

2. The speed of light is approximately 3 x 10^8 meters per second. What is this value in standard form?

a

3,000,000 m/s

b

30,000,000 m/s

c

300,000,000 m/s

d

3,000,000,000 m/s

1. When multiplying powers of ten, you   the exponents.

2. The number 1 followed by 6 zeros is written as 10 to the power of  .

1. Explain the difference between 10^3 and 10^-3.

1. (10^5) / (10^2) = 10^3

T

True

F

False

2. (10^3)^2 = 10^5

T

True

F

False

1. Calculate the following, expressing your answer in scientific notation:

(2.5 x 10^4) * (4 x 10^3)

2. Calculate the following, expressing your answer in scientific notation:

(8 x 10^7) / (2 x 10^3)