Section 2.4 Multiplication and Division of Integers 107 Answers 2. 12 3. 30 4. 42 5. 32 6. 0 7. 1421122; 48 8. 8152; 40 9. 1 10. 1 11. 1 12. 1 Multiplying Integers Example 1 Multiply. a. 8172 b. 5 10 c. 1182122 d. 16 2 e. 3 0 Solution: a. 8172 56 Same signs. Product is positive. b. 5 10 50 Different signs. Product is negative. c. 1182 122 36 Different signs. Product is negative. d. 16 2 32 Same signs. Product is positive. e. 3 0 0 The product of any number and zero is zero. Recall that the terms product, multiply, and times imply multiplication. Translating to a Mathematical Expression Example 2 Translate each phrase to a mathematical expression. Then simplify. a. The product of 7 and 8 b. 3 times 11 Solution: a. 7182 Translate: The product of 7 and 8. 56 Different signs. Product is negative. b. 132 1112 Translate: 3 times 11. 33 Same signs. Product is positive. 2. Multiplying Many Factors In each of the following products, we can apply the order of operations and multiply from left to right. two negative three negative four negative five negative factors factors factors factors 122 122 122 122 122 122 122 122 122 122 122 122 122 122 4 4122 4122 122 4122 122 122 Product is positive. f 8 182 122 182 122 122 Product is negative. 16 16122 Product is positive. 32 Product is negative. These products indicate the following rules. • The product of an even number of negative factors is positive. • The product of an odd number of negative factors is negative. ¶ f f ¶ f ¶ ¶ ¶ ¶ Skill Practice Multiply. 2. 2162 3. 3 1102 4. 14132 5. 8 4 6. 5 0 Skill Practice Translate each phrase to a mathematical expression. Then simplify. 7. The product of 4 and 12. 8. Eight times 5. Concept Connections Multiply. 9. 112 112 10. 112 112 112 11. 112 112 112 112 12. 112 112 112 112 112
miller_prealgebra_2e_ch1_3
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