EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 =...
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Transcript of EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 =...
EXAMPLE 2 Using Grouping Symbols
= 160
Add inside parentheses first.
Then multiply.
b. 9 84 + 8 =
724 + 8
= 6
Evaluate numerator.
Evaluate denominator.
Divide.
a. (14 + 6) 8= 20 8
12= 72
EXAMPLE 2 Using Grouping Symbols
c. 45 [63 (56 8)]= 45 [63 7]
=45 9
=5
Divide inside the innermost
set of grouping symbols.
Divide inside brackets.
Divide.
EXAMPLE 3 Using a Verbal Model
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.
= 13.50 5 + 8 3
= 67.50 + 24
= 91.50
Substitute values.
Multiply first.
Then add.
ANSWER The total cost of the visit is $91.50.
GUIDED PRACTICE for Examples 2 and 3
Evaluate the expression.
4. 35 (9 – 4) Subtract 4 from 9 .= 35 (5)
= 35 5 Divide .
= 7
GUIDED PRACTICE for Examples 2 and 3
Evaluate the expression.
Subtract 1 from 11 .
Divide inside the innermost set of grouping symbols.
5. 3 [(11–1) 5]
= 3 2
= 3 [(10) 5]
= 6 Multiply.
GUIDED PRACTICE for Examples 2 and 3
Evaluate the expression.
6. 45+192 8
64=2 8
64=16
= 4
Add 45 and 19 .
Multiply 2 by 8 .
Divide .
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.
= 675.0 + 400 + 35
= 1110
Substitute values.
Multiply first.
Then add.
ANSWER The total cost of the visit is $1110.
= 13.50 50 + 8 50 + 35