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Example 1 Multiplying Integers a. 3 () 4 – Different signs, so product is negative. = 12 – b. () 3 – 6 – Same sign, so product is positive. = 18 c. () 3 – 4 – () 2 Multiply from left to right. = () 3 – 8 – Multiply. = 24

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Example 2 Finding Powers of Integers a. () 4) 4 3 – Write as a repeated product. = () 3 – () 3 – () 3 – () 3 – Multiply from left to right. = 9 () 3 – () 3 – = () 3 –– 27 Multiply. = 81 b. 3 43 4 – Use order of operations. = ( 3 43 4 – ) Evaluate power. = 81 –

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Example 3 Evaluating an Expression Involving Multiplication MOVIES A stuntman working on a movie set falls from a building’s roof 90 feet above an air cushion. The expression 16t 2 90 gives the stuntman’s height (in feet) above the air cushion after t seconds. What is the height of the stuntman after 2 seconds? – + SOLUTION Evaluate the expression for the height when t 2. = 90+16t 2 – 90+ = 16 – ) 2) 2 ( 2 Substitute 2 for t. 90+ = 16 – )( 4 Evaluate the power.

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Example 3 Multiply. Add. = 2690+ = 64 – ANSWER After 2 seconds, the stuntman is 26 feet above the air cushion. Evaluating an Expression Involving Multiplication

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Guided Practice for Examples 1, 2, and 3 Find the product. 1. 5 – () 4 ANSWER – 20 ANSWER – 18 2. 6 () 3 – 3. () 7 – 3 – ANSWER 21 ANSWER 80 4. () 8 – 2 – () 5

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Guided Practice for Examples 1, 2, and 3 ANSWER – 4 6. 2 22 2 – Find the power. 5. () 2 – 2 7. 4 34 3 – 8. () 4 – 3 ANSWER 4 – 64 ANSWER – 64

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Guided Practice 9. for Examples 1, 2, and 3 ANSWER 74 ft MOVIES In Example 3, what is the height of the stuntman after 1 second?

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Operations with Integers

Operations with Integers

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