30 CHAPTER R Review of Basic Concepts EXAMPLE 5 Using Order of Operations Evaluate each expression. (a) 6 , 3 + 23 # 5 (b) 18 + 62 , 7 # 3 - 6 (c) 4 + 32 6 - 5 # 3 (d) -1-323 + 1-52 21-82 - 5132 SOLUTION (a) 6 , 3 + 23 # 5 = 6 , 3 + 8 # 5 Evaluate the exponential. = 2 + 8 # 5 Divide. = 2 + 40 Multiply. = 42 Add. (b) 18 + 62 , 7 # 3 - 6 = 14 , 7 # 3 - 6 Work inside the parentheses. = 2 # 3 - 6 Divide. = 6 - 6 Multiply. = 0 Subtract. (c) 4 + 32 6 - 5 # 3 Work separately above and below the fraction bar. = 4 + 9 6 - 15 Evaluate the exponential and multiply. = 13 -9 Add and subtract. = - 13 9 a -b = - a b (d) -1-323 + 1-52 21-82 - 5132 = -1-272 + 1-52 21-82 - 5132 Evaluate the exponential. = 27 + 1-52 -16 - 15 Multiply. = 22 -31 Add and subtract. = - 22 31 a -b = - a b S Now Try Exercises 89, 91, and 97. Multiply or divide in order from left to right. Be careful to divide before multiplying here.
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