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Study Guide and Intervention (continued) - MathnMind

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2-3<br />

NAME ______________________________________________ DATE ____________ PERIOD _____<br />

<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong><br />

Multiplying Rational Numbers<br />

Multiply Integers You can use the rules below when multiplying integers <strong>and</strong> rational<br />

numbers.<br />

Multiplying Numbers with the Same Sign The product of two numbers having the same sign is positive.<br />

Multiplying Numbers with Different Signs The product of two numbers having different signs is negative.<br />

Example 1 Find each product. Example 2<br />

Simplify the expression<br />

a. 7(6)<br />

(2x)5y.<br />

The signs are different, so the product is (2x)5y (2)(5)x y Commutative Property ()<br />

negative.<br />

(2 5)xy Associative Property<br />

7(6) 42 b. 18(10)<br />

The signs are the same, so the product is<br />

positive.<br />

18(10) 180<br />

10xy Simplify.<br />

Exercises<br />

Find each product.<br />

1. 11(4) 2. 5(3) 3. (24)(2)<br />

4. (60)(3) 5. (2)(3)(4) 6. 8(15)<br />

7. 15(3) 8. (12)(10) 9. (22)(3)(2)<br />

10. (5)(5)(0)(4) 11. (15)(45) 12. (12)(23)<br />

Simplify each expression.<br />

13. 4(2x) 8x 14. 6(2n ) 10n 15. 6(3y y)<br />

16. 3(3d 2d) 17. 2x(2) 2x(3y) 18. 4m(2n) 2d(4e)<br />

19. 5(2x x) 3(xy) 20. (2)(4x 2x) 21. (3)(8n 6m)<br />

© Glencoe/McGraw-Hill 87 Glencoe Algebra 1<br />

Lesson 2-3

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