Section 1.3 Exponents, Square Roots, and the Order of Operations 37 to recognize that operations must be done within parentheses and other grouping symbols first. Other grouping symbols include absolute value bars, radical signs, and fraction bars. Applying the Order of Operations Step 1 Simplify expressions within parentheses and other grouping symbols first.These include absolute value bars, fraction bars, and radicals. If imbedded parentheses are present, start with the innermost parentheses. Step 2 Evaluate expressions involving exponents, radicals, and absolute values. Step 3 Perform multiplication or division in the order that they occur from left to right. Step 4 Perform addition or subtraction in the order that they occur from left to right. Applying the Order of Operations Example 3 Simplify the expressions. a. b. Solution: a. Simplify exponents. Multiply before adding or subtracting. Add or subtract from left to right. 17 3 2 22 17 3 2 4 17 6 4 11 4 b. Subtract fractions within the parentheses. The least common denominator is 12. Multiply fractions. Skill Practice Simplify the expressions. 9. 10. 14 3 2 32 13 4 1 4 110 22 1 24 1 2 a 1 12 b 1 2 a 10 12 9 12 b 1 2 a 5 6 3 4 b 15 1 2 a 5 6 3 4 17 3 2 22 b Answers 9. 17 10. 5 4
miller_beginning_intermediate_algebra_4e_ch1_3
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