By Garrett P.
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Example text
39. The set of prime numbers less than 8 0 1 2 3 4 5 6 7 8 73. 40. The set of integers between Ϫ7 and 0 –7 –6 –5 –4 –3 –2 –1 11 12 13 14 15 16 74. (Ϫϱ, Ϫ4] ʜ (2, ϱ) 0 75. (Ϫϱ, Ϫ6] ʜ [5, ϱ) 41. The set of odd integers between 10 and 18 10 5 x ƒ x Ͻ Ϫ3 or x Ͼ 3 6 17 5 x ƒ Ϫ1 Ͻ x Յ 3 6 76. 5 x ƒ x Ͻ Ϫ2 or x Ն 3 6 18 42. The set of composite numbers less than 10 0 1 2 3 4 5 6 7 8 9 10 Change each fraction into a decimal and classify the result as a terminating or a repeating decimal. 43. 7 8 45. Ϫ 44.
5 Ϫ (3 Ϫ 1) 48. 2 Arithmetic and Properties of Real Numbers 55. 57. 59. 61. 63. 2Ϫ3ؒ5 8Ϭ4Ϭ2 8 Ϭ (4 Ϭ 2) 2ϩ6Ϭ3Ϫ5 (2 ϩ 6) Ϭ (3 Ϫ 5) 3(8 ϩ 4) 2ؒ3Ϫ9 100(2 Ϫ 4) 67. 1,000 Ϭ 10 Ϭ 10 65. 56. 58. 60. 62. 64. 6ϩ4ؒ7 100 Ϭ 10 Ϭ 5 100 Ϭ (10 Ϭ 5) 6Ϫ8Ϭ4Ϫ2 (6 Ϫ 8) Ϭ (4 Ϫ 2) 5(4 Ϫ 1) 3ؒ2ϩ5ؒ3 8(3) Ϫ 4(6) 68. 5(3) ϩ 3(Ϫ7) 66. Use the distribution: 7, 5, 9, 10, 8, 6, 6, 7, 9, 12, 9. You may use a calculator. 69. Find the mean. 71. Find the mode. 70. Find the median. Use the distribution: 8, 12, 23, 12, 10, 16, 26, 12, 14, 8, 16, 23.
C. Ϫ7(6) ϭ Ϫ42 Multiply the absolute values: 7 ؒ 6 ؍42. Since the signs are unlike, the product is negative. d. 8(6) ϭ ϩ48 Multiply the absolute values: 8 ؒ 6 ؍48. Since the signs are alike, the product is positive. Multiply: a. (Ϫ6)(5), b. (Ϫ4)(Ϫ8), c. (17)(Ϫ2), and d. (12)(6). ■ Dividing Real Numbers When two numbers are divided, we call the result their quotient. In the division x 0), the quotient q is a number such that y ؒ q ϭ x. We can use this y ϭ q (y relationship to find rules for dividing real numbers.
Standard p-adic integrals for GL(2) by Garrett P.
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