By James Stewart
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Additional resources for Algebra and trigonometry, 2nd Edition
Scientific Notation A positive number x is said to be written in scientific notation if it is expressed as follows: x ϭ a ϫ 10 n where 1 Յ a Ͻ 10 and n is an integer 26 CHAPTER P Prerequisites For instance, when we state that the distance to the star Proxima Centauri is 4 ϫ 1013 km, the positive exponent 13 indicates that the decimal point should be moved 13 places to the right: 4 ϫ 1013 ϭ 40,000,000,000,000 Move decimal point 13 places to the right. 00000000000000000000000166 Move decimal point 24 places to the left.
83. Interest on a CD A sum of $5000 is invested in a 5-year certificate of deposit paying 3% interest per year, compounded monthly. 00252 12n Ϫ 1 4 Complete the following table, which gives the amount of interest accumulated after the given number of years. 80. 4 Rational Exponents and Radicals 29 85. Easy Powers That Look Hard Calculate these expressions in your head. Use the Laws of Exponents to help you. Discovery • Discussion 84. How Big Is a Billion? If you have a million 110 6 2 dollars in a suitcase, and you spend a thousand 110 3 2 dollars each day, how many years would it take you to use all the money?
1Ϫq, Ϫ4 2 ʜ 14, q 2 61–66 ■ Evaluate each expression. (b) 0 Ϫ73 0 63. (a) @ 0 Ϫ6 0 Ϫ 0 Ϫ4 0 @ (b) 64. (a) @ 2 Ϫ 0 Ϫ12 0 @ (b) Ϫ1 Ϫ @ 1 Ϫ 0 Ϫ1 0 @ 62. (a) 0 15 Ϫ 5 0 (b) 0 10 Ϫ p 0 Ϫ1 0 Ϫ1 0 65. (a) 0 1Ϫ2 2 # 6 0 (b) 0 AϪ 13 B 1Ϫ15 2 0 66. (a) ` (b) ` 67–70 67. 20 ft 60. 1Ϫq, 6 4 പ 12, 102 61. (a) 0 100 0 ■ x Graph the set. Ϫ6 ` 24 7 Ϫ 12 ` 12 Ϫ 7 Find the distance between the given numbers. −3 −2 −1 0 1 2 3 74. Temperature Variation The bar graph shows the daily high temperatures for Omak, Washington, and Geneseo, New York, during a certain week in June.