116 Chapter 2 Integers and Algebraic Expressions Applying the Order of Operations Example 3 Simplify. Solution: 32 102 11 42 Simplify within parentheses. Note: 1 4 1 1425. Simplify exponents. Note: 32 3 3 9 and 102 10 10 100. Perform division before subtraction. Note: 100 15220. Subtract. Note: 9 1202 9 1202 29. 32 102 11 42 32 102 152 9 100 152 Applying the Order of Operations 9 1202 29 Example 4 Simplify. 08 24 0 5 32 a. b. 5 238 1 7 524 Solution: a. Simplify the absolute value and subtract 5 9. Divide. 08 24 0 5 32 016 0 5 9 16 4 4 b. 5 238 17 524 5 238 11224 First simplify the expression within the innermost parentheses. 5 2344 Continue simplifying within parentheses. 5 182 Perform multiplication before subtraction. 13 Subtract. Note: 5 182 5 8 13 2. Translations Involving Variables Recall that variables are used to represent quantities that are subject to change. For this reason, we can use variables and algebraic expressions to represent one or more unknowns in a word problem. Answers 3. 68 4. 10 5. 7 Simplify the expressions above and below the division bar by first adding within the absolute value and simplifying exponents. Skill Practice Simplify. 3. 82 23 17 52 Skill Practice Simplify. 050 1102 0 4. 22 5. 1 335 18 124
miller_prealgebra_2e_ch1_3
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