Page 19

miller_introductory_algebra_3e_ch1_3

Section 1.2 Exponents, Square Roots, and the Order of Operations 61 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. 3 417 3 2 22 b a. b. Solution: a. 1 2 a5 6 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 15 1 2 a5 6 3 4b b. Subtract fractions within the parentheses. The least common denominator is 12. 1 2 a10 12 1 2 a 1 12b 1 24 9 12b Multiply fractions. Instructor Note: Radical signs act as grouping symbols. Perform the operations inside the radical first, then apply the square root. 136 64 1136 642 1100 10 Skill Practice Simplify the expressions. 9. 14 3 2 32 Classroom Examples: p. 67, Exercises 50 and 56 Answers 9. 17 10. 5 4 10. 13 4 1 4 110 22


miller_introductory_algebra_3e_ch1_3
To see the actual publication please follow the link above