Section 1.7 Properties of Real Numbers and Simplifying Expressions 85 Review Exercises For Exercises 2–14, perform the indicated operations. 2. 3. 4. 5. 6. 7. 8. 9. 162 14 122 9 13 152 1 1192 18 142 27 5 3 0 01152 3 5 4 27 a b a b b 25 21 6 7 1 2 3 8 10. 11. 12. 13. 14. 25 a 4 5 b a 11 12 b a 5 4 Concept 1: Commutative Properties of Real Numbers For Exercises 15–22, rewrite each expression using the commutative property of addition or the commutative property of multiplication. (See Examples 1 and 3.) 15. 5 182 16. 7 122 17. 8 x 18. p 11 19. 5(4) 20. 10(8) 21. 22. x1122 y1232 For Exercises 23–26, rewrite each expression using addition.Then apply the commutative property of addition. (See Example 2.) 23. x 3 24. y 7 25. 4p 9 26. 3m 12 Concept 2: Associative Properties of Real Numbers For Exercises 27–38, use the associative property of addition or multiplication to rewrite each expression.Then simplify the expression if possible. (See Example 4.) 27. 28. 29. 30. 1x 42 9 3 15 z2 513x2 1214z2 1 4 tb 54 wb a 3 5 a 5 3 xb 6 11 a 11 6 xb 31. 32. 33. 34. 5 a 1 8 12 y2 3x 152 4 7 512x2 1016t2 35. 36. 37. 38. Concept 3: Identity and Inverse Properties of Real Numbers 39. What is another name for multiplicative inverse? 40. What is another name for additive inverse? 41. What is the additive identity? 42. What is the multiplicative identity? Concept 4: Distributive Property of Multiplication over Addition For Exercises 43–62, use the distributive property to clear parentheses. (See Examples 5–6.) 43. 44. 45. 46. 615x 12 21x 72 21a 82 312z 92 315c d2 41w 13z2 71y 22 214x 12 47. 48. 49. 50. 1 1 1m 3 32 4 2 3 1x 62 12b 82 51. 52. 53. 54. 2 5 1n 52 12p 102 17q 12 213w 5z 82 417a b 32 55. 56. 57. 58. 59. 41x 2y z2 60. 612a b c2 61. 16w x 3y2 62. 1p 5q 10r2
miller_beginning_intermediate_algebra_4e_ch1_3
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