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miller_introductory_algebra_3e_ch1_3

Section 1.5 Multiplication and Division of Real Numbers 93 a 0, and b 0, then ab d. If is__________________. e. If a and b have the same sign, then the product ab is (choose one: positive or negative). positive f. If a and b have different signs, then the quotient is (choose one: positive or negative). negative g. The product of a number and its reciprocal is _____________. For example ( ) 1 h. Which of the expressions represents the product of 2 and x? All of these ab undefined 1 a. 2x b. 2 x c. 2(x) d. (2)x e. (2)(x) 32 23 Review Exercises For Exercises 2–6, determine if the expression is true or false. 2. 6 122 7 5 6 True 3. 06 0 014 0 03 0 017 0 True 4. 136 06 0 7 0 False 5. False 6. False 19 03 0 0 14 03 0 12 125 Concept 1: Multiplication of Real Numbers For Exercises 7–14, multiply the real numbers. (See Example 1.) 7. 56 8. 12 9. 143 10. 130 8172 132 4 11121132 1521262 12 25b 3 12 9 2.2215.82 19.1214.52 ba b 384 a 11. 12.76 12. 40.95 13. 14. Concept 2: Exponential Expressions For Exercises 15–22, simplify the exponential expression. (See Example 2.) 15. 16. 17. 18. 5 4ba 3 5 a 10 100 2 6 36 1622 36 11022 100 2 10.224 0.0016 10.124 0.0001 5 2b3 125 8 a 3 5b3 27 125 a 19. 20. 21. 22. Concept 3: Division of Real Numbers For Exercises 23–34, divide the real numbers. (See Examples 3 and 4.) 23. 24. 25. 26. 100 10 7 7 27 3 21 3 54 9 14 7 10 9 6 27. 28. 29. 30. 1 5 13 65 7 10 1 10 8 1 8 1 2 31. 32. 33. 34. 120 40 12 12 7 77 For Exercises 35–42, show how multiplication can be used to check the division problems. 0 5 18 6 14 2 35. 36. 37. 38. 122172 14 162132 18 5 0 0 4 0 0 4 0 6 0 0 4 3 1 0 0 3 7 1 11 39. is undefined 40. is undefined 41. 24 162 4 42. 18 2 9 No number multiplied No number multiplied (6)(4) 24 (2)(9) 18 by zero equals 6. by zero equals 4. Writing     Translating Expression     Geometry      Scientific Calculator     Video


miller_introductory_algebra_3e_ch1_3
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