Section 1.7 Exponents, Square Roots, and the Order of Operations 65 Order of Operations Step 1 Perform all operations inside parentheses first. Step 2 Simplify any expressions containing exponents or square roots. Step 3 Perform multiplication or division in the order that they appear from left to right. Step 4 Perform addition or subtraction in the order that they appear from left to right. Using the Order of Operations Example 3 Simplify. a. b. c. Solution: a. 15 10 2 3 15 22 7 1 1100 23 15 10 2 3 f 15 5 3 10 2 Perform the division first. Perform addition and subtraction from left to right. Add. b. Perform the operation inside parentheses first. Perform multiplication before subtraction. Subtract. c. Simplify any expressions with exponents or square roots. Note that and f 10 3 13 15 22 7 1 f 132 7 1 f 21 1 20 1100 23 2 Subtract. 1100 10, 23 2 2 2 8. 10 8 18 6 2 4 Answers 8. 17 9. 9 10. 3 11. 135 12. 28 Using the Order of Operations Example 4 Simplify. a. b. Solution: a. 300 17 222 22 36 172 32 Perform the operation within parentheses first. Simplify exponents: and Perform division before subtraction. 300 17 222 22 f 6 300 1522 22 300 25 4 52 5 5 25 22 2 2 4. e 12 4 8 Subtract. Skill Practice Simplify. 8. 9. 10. 23 125 120 42 2 1 Skill Practice Simplify. 11. 12. 42 150 622 4013 122 52
miller_basic_college_math_3e_ch1_3
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