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Lesson 8 Chapter 2. Objectives Simplify expressions involving reciprocals.

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Presentation on theme: "Lesson 8 Chapter 2. Objectives Simplify expressions involving reciprocals."— Presentation transcript:

1 Lesson 8 Chapter 2

2 Objectives Simplify expressions involving reciprocals

3 Vocabulary Two numbers whose product is 1 are called reciprocal, or multiplicative inverses, of each other. Ex: 5 and 1/5

4 Property of Reciprocals a. For every nonzero real number a, there is a unique real number 1/a such that a. a ∙ 1/a = 1 and 1/a ∙ a = 1

5 Property of the Reciprocal of the Opposite of a Number For every nonzero number a, 1/-a = -1/a.

6 Property of the Reciprocal of a Product For all nonzero numbers a and b, 1/ab = 1/a ∙1/b The reciprocal of the product of two nonzero numbers is the product of their reciprocals.

7 Example 1 Simplify: a. b. c.

8 Example 1- Solution a. b. c.

9 Example 2 Simplify Solution:

10 Guided Practice Simplify. 1. 2.

11 Guided Practice 3. 4.

12 Homework Pg. 81; 1-31 (odd) Link to reciprocal practicereciprocal practice


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