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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**Sample text**

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.