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EXAMPLE 2

a. ( 14 + 6 ) 8. = 20 8. b. 9 8. 72. =. 4 + 8. 4 + 8. 72. =. 12. =. 6. Using Grouping Symbols. EXAMPLE 2. Add inside parentheses first. = 160. Then multiply. Evaluate numerator. Evaluate denominator. Divide. c. 45 [ 63 ( 56 8 )]. = 45 [ 63 7 ]. =45 9.

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EXAMPLE 2

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  1. a.(14+ 6) 8 = 208 b. 9 8 72 = 4 + 8 4 + 8 72 = 12 = 6 Using Grouping Symbols EXAMPLE 2 Add inside parentheses first. = 160 Then multiply. Evaluate numerator. Evaluate denominator. Divide.

  2. c.45[63(568)] = 45[63 7] =45 9 Using Grouping Symbols EXAMPLE 2 Divide inside the innermost set of grouping symbols. Divide inside brackets. =5 Divide.

  3. To find the total cost of the visit to the aquarium described on the previous page, you can use a verbal model to write and evaluate an expression. = 13.505 + 83 ANSWER The total cost of the visit is $91.50. Using a Verbal Model EXAMPLE 3 Substitute values. = 67.50+ 24 Multiply first. = 91.50 Then add.

  4. 4.35 (9–4) = 35 (5) = 35 5 GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression. Subtract 4 from 9 . Divide . = 7

  5. 5.3 [(11–1) 5] = 3 [(10) 5] = 3 2 GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression. Subtract 1 from 11 . Divide inside the innermost set of grouping symbols. = 6 Multiply.

  6. 6. 45+19 64 = 28 28 64 = 16 GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression. Add 45 and 19 . Multiply 2 by 8 . = 4 Divide .

  7. = 13.5050+ 850 + 35 ANSWER The total cost of the visit is $1110. GUIDED PRACTICE for Examples 2 and 3 7. What If? Suppose 50 students go to the aquarium and movie in Example 3. It costs $35 to park their school bus. Use a verbal model to write and evaluate an expression for the total cost of their visit. Substitute values. = 675.0+ 400 + 35 Multiply first. = 1110 Then add.

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