 By Michael Sullivan

Mike Sullivan’s time-tested procedure focuses scholars at the primary talents they want for the path: preparing for type, practicing with homework, and reviewing the thoughts. within the Ninth Edition, Algebra and Trigonometry has developed to fulfill today’s direction wishes, development on those hallmarks through integrating tasks and different interactive studying instruments to be used within the school room or on-line.

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112 * 102 133. 1 * 10-2 134. 453 * 10-1 Applications and Extensions In Problems 135–144, express each statement as an equation involving the indicated variables. 135. Area of a Rectangle The area A of a rectangle is the product of its length l and its width w. l A 139. Area of an Equilateral Triangle The area A of an equilat13 eral triangle is times the square of the length x of 4 one side. w x x 136. Perimeter of a Rectangle The perimeter P of a rectangle is twice the sum of its length l and its width w.

Count the number N of places that the decimal point must be moved to arrive at a number x, where 1 … x 6 10. 2. If the original number is greater than or equal to 1, the scientific notation is x * 10N. If the original number is between 0 and 1, the scientific notation is x * 10-N. 2 Algebra Essentials EXAMPLE 14 25 Using Scientific Notation Write each number in scientific notation. 000561 (a) The decimal point in 9582 follows the 2. Count left from the decimal point 9 5 8 2 . 582 is a number between 1 and 10.

10 CHAPTER R Review Commutative Properties a + b = b + a a#b = b#a (1a) (1b) Here, and in the properties listed next and on pages 11–13, a, b, and c represent real numbers. EXAMPLE 12 Associative Properties (b) 2 # 13 # 42 = 2 # 12 = 24 12 # 32 # 4 = 6 # 4 = 24 2 # 13 # 42 = 12 # 32 # 4 (a) 2 + 13 + 42 = 2 + 7 = 9 12 + 32 + 4 = 5 + 4 = 9 2 + 13 + 42 = 12 + 32 + 4 ᭹ The way we add or multiply three real numbers will not affect the final result. Expressions such as 2 + 3 + 4 and 3 # 4 # 5 present no ambiguity, even though addition and multiplication are performed on one pair of numbers at a time.