Section 1.3 Exponents, Square Roots, and the Order of Operations 41 Answers 21. 22. 23. z 2x ; 4 1 2 1x y2; 6 1y x ; 1 c. The difference of twice a and b Use parentheses to substitute a number for a variable. Substitute and Multiply first. Subtract. 2a b 21 2 1 2 2162 142 a 6 b 4. 12 4 Skill Practice Translate each English phrase to an algebraic expression. Then evaluate the expression for x 3, y 9, z 10. 21. The quotient of the square root of y and x 22. One-half the sum of x and y 23. The difference of z and twice x Calculator Connections Topic: Evaluating Exponential Expressions on a Calculator On a calculator, we enter exponents greater than the second power by using the key labeled or . For example, evaluate and : Scientific Calculator: Enter: 2 4 Result: 16 Enter: 10 6 Result: Graphing Calculator: Topic: Applying the Order of Operations on a Calculator Most calculators also have the capability to enter several operations at once. However, it is important to note that fraction bars and radicals require user-defined parentheses to ensure that the proper order of operations is followed. For example, evaluate the following expressions on a calculator: a. b. c. Scientific Calculator: Enter: 130 2 5 1 3 Result: Enter: 18 2 11 9 Result: Enter: 25 9 Result: 4 2 8 125 9 18 2 11 9 130 215 123 1000000 24 106 8
miller_beginning_intermediate_algebra_4e_ch1_3
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