# von Neumann density theorem by Garrett P.

By Garrett P.

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Example text

ExamplE 8 Solution ▼ 8 Evaluate: 2 2 1 27 2 2 2 1 27 2 5 2 1 2 1 27 2 5217 59 Rewrite subtraction as addition of a negative number. The opposite of 27 is 7; 2 1 27 2 5 7 Follow the order of operations. Unless otherwise noted, all content on this page is © Cengage Learning. Copyright 2013 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. 2 Signed numbers 9 Rewriting subtraction as addition of a negative number and rewriting the opposite of a negative number as a positive number are often done in one step.

D) Copyright 2013 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. 1 Ev a l u a t in g E x p r e s si o n s a n d t h e O r d e r o f O p e r a t i o n s 5 The product of 0 and a number is 0. The quotient of 0 divided by a number (except 0) is 0. However, division by zero is undefined. ExAmPlE 11 ▼ Solution Evaluate the expression. (a) 0 ? 5 50 ▼ (b) ▼ (c) 0 5 50 5 0 Undefined The product of a number and 0 is 0. The quotient of 0 and a number (except 0) is 0.

4 8 3 43. 24. 26. 28. 30. 32. 34. 36. 1 2 ? 9 5 3 20 ? 5 27 4 3 ? 9 16 1 50 ? 6 12 5 12 ? 6 2 1 a2 b a2 b 3 2 38. a2 20 7 ba b 21 8 42. a2 15 3 1 ba ba b 4 5 6 1 8 40. a b a2 b 4 9 1 1 4 4 7 1 1 46. 4 7 4 44. 47. 2 4 4 3 27 48. 9 3 4 10 5 49. 11 2 4 12 3 50. 7 2 4 20 5 3 51. 9 4 4 3 52. 15 4 8 3 53. 4 12 4 3 54. 4 15 8 9 1 55. 2 4 10 12 8 1 56. 2 4 9 12 8 3 57. 2 4 15 10 5 4 58. 2 4 6 9 1 4 59. 1 9 9 1 5 60. 1 7 7 9 3 2 10 10 4 2 2 a2 b 9 9 7 1 71. 2 1 8 8 13 1 73. 2 1 12 12 62. 4 2 1 15 15 64.