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**Lessons 2.3 & 2.4- Multiplying and Dividing Rational Numbers**

Objectives: To multiply and divide integers and rational numbers.

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**Multiplication of Integers**

The product of two numbers with the….. SAME SIGNS is POSITIVE pos × pos = pos neg × neg = pos DIFFERENT SIGNS is NEGATIVE pos × neg = neg neg × pos = neg

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**Ex. 1: Find each product. ½ (-8)(-6) 48 (10)(-11) -110 3.**

(-0.075)(6.4) -0.48

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Your Turn…… (-8.7)(-10.4) 90.48 2.

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**Ex. 2: Simplify 5s(-6t) -30st 2. -7(3d + d) -21d -7d -28d**

3. 6x(-7y) + (-15xy) -42xy + (-15xy) -57xy 7m(-3n) + 3s(-4t) -21mn – 12st

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**Ex. 3: Evaluate each expression when m = -2/3, n = ½, p = -3¾**

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In a United States flag, the length of the union is 2/5 of the fly, and the width is 7/13 of the hoist. If the fly is 6 feet, how long is the union?

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**Division of Integers The quotient of two numbers with the…..**

SAME SIGNS is POSITIVE pos ÷ pos = pos neg ÷ neg = pos DIFFERENT SIGNS is NEGATIVE pos ÷ neg = neg neg ÷ pos = neg Note: The rules for dividing integers is the same as the rules for multiplying integers.

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**Ex. 4: Divide Integers 1. -60 ÷ (-5) 12 -108/18 -6 -112.23 ÷ 8.7 -12.9**

÷ (-5) 12 -108/18 -6 ÷ 8.7 -12.9 4.

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Ex. 2: Simplify 1. 2.

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3. 4.

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**Ex. 3: Evaluate each expression when a = 3, b= -4. 5, and c = 7. 5**

Ex. 3: Evaluate each expression when a = 3, b= -4.5, and c = Round to the nearest hundredth. 1. 2.

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During the 2000 holiday season, the sixth most visited online shopping site recorded 419,000 visitors. This is eight times as many visitors as in About how many visitors did the site have in 1999?

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**SUMMARY Multiplying Integers Dividing Integers**

SAME SIGNS is POSITIVE pos × pos = pos neg × neg = pos DIFFERENT SIGNS is NEG pos × neg = neg neg × pos = neg SAME SIGNS is POSITIVE pos ÷ pos = pos neg ÷ neg = pos DIFFERENT SIGNS is NEG pos ÷ neg = neg neg ÷ pos = neg NBA #11, page 81, problems even NBA #12, page 86, problems even

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