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Published byElijah Henderson Modified over 4 years ago

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**2.7 Division of Real Numbers 1 GOAL DIVIDING REAL NUMBERS VOCABULARY**

reciprocal Since we use reciprocals when dividing, you must be able to write the reciprocal of a number. Remember: The reciprocal of the reciprocal of Since 0 does not have a reciprocal, we cannot divide by 0.

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DIVISION RULE To divide a number a by a nonzero number b, multiply a by the reciprocal of b. EXAMPLE 1

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Extra Example 1 Find each quotient. a b. c. d.

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**2.7 Division of Real Numbers 2 GOAL WORKING WITH ALGEBRAIC EXPRESSIONS**

Since we divide by multiplying by the reciprocal, the same rules about signs apply. Rules for dividing two real numbers: If the signs are the same, the product is _______. If the signs are different, the product is ________. positive negative EXAMPLE 2

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**Extra Example 2 Simplify the expression: Multiply by the reciprocal.**

Use the distributive property. Simplify. EXAMPLE 3

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**Extra Example 3 Evaluate the expression when x = –5 and y = –1.**

a. b. c. Undefined

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**Checkpoint 1. Simplify the expression –5d + 25**

2. Evaluate the expression when s = –3 and t = –1. EXAMPLE 4

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Extra Example 4 A mountain climber descends 300 feet in 50 minutes. What is her velocity? –300 feet = Velocity Displacement Time VERBAL MODEL LABELS ALGEBRAIC MODEL SOLVE v 50 min EXAMPLE 5

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**Since 4x cannot equal 0, the domain is all real numbers except x = 0.**

Extra Example 5 Find the domain of the function Since 4x cannot equal 0, the domain is all real numbers except x = 0.

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Checkpoint 1. An elevator descends 120 feet in 1.5 minutes. What is its velocity? 2. Find the domain of the function All real numbers except x = –4.

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QUESTIONS?

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Table of Contents Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression.

Table of Contents Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression.

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