Homework Explained - Math Practice 101

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Chapter 2:Exponents and Scientific Notation; Model Quiz

2.1 Integer Exponents

Find the value of each power.

• Question 1

$$3^{−4}$$

• Question 2

$$35^ 0$$

• Question 3

$$4^4$$

Use the properties of exponents to write an equivalent expression.

• Question 4

$$8^3 \cdot 8^7$$

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• Question 5

$$\large\frac{12^6}{12^2}$$

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• Question 6

$$(10^3)^5$$

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2.2 Scientific Notation with Positive Powers of 10

Convert each number to scientific notation or standard notation.

• Question 7

2,000

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• Question 8

91,007,500

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• Question 9

$$1.0395 \times 10^9$$

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• Question 10

$$4 \times 10^2$$

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2.3 Scientific Notation with Negative Powers of 10

Convert each number to scientific notation or standard notation.

• Question 11

0.02

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• Question 12

0.000701

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• Question 13

$$8.9 \times 10^{-5}$$

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• Question 14

$$4.41 \times 10^{-2}$$

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2.4 Operations with Scientific Notation

• Question 15

$$7 \times 10^6 - 5.3 \times 10^6$$

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• Question 16

$$3.4 \times 10^4 + 7.1 \times 10^5$$

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• Question 17

$$(2 \times 10^4 )(5.4 \times 10^6)$$

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• Question 18

$$\large\frac{7.86\times10^9}{3 \times 10^4}$$

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• Question 19

Neptune’s average distance from the Sun is $$4.503 \times 109 \text{ km }$$. Mercury’s average distance from the Sun is $$5.791 \times 10^7$$ km. About how many times farther from the Sun is Neptune than Mercury? Write your answer in scientific notation.

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Essential Question

• Question 20

How is scientific notation used in the real world?

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