EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 =...

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

Transcript of EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 =...

Page 1: EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 = 72 4 + 8 = 6 Evaluate numerator. Evaluate denominator.

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

Page 2: EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 = 72 4 + 8 = 6 Evaluate numerator. Evaluate denominator.

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.

Page 3: EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 = 72 4 + 8 = 6 Evaluate numerator. Evaluate denominator.

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.

Page 4: EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 = 72 4 + 8 = 6 Evaluate numerator. Evaluate denominator.

GUIDED PRACTICE for Examples 2 and 3

Evaluate the expression.

4. 35 (9 – 4) Subtract 4 from 9 .= 35 (5)

= 35 5 Divide .

= 7

Page 5: EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 = 72 4 + 8 = 6 Evaluate numerator. Evaluate denominator.

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.

Page 6: EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 = 72 4 + 8 = 6 Evaluate numerator. Evaluate denominator.

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 .

Page 7: EXAMPLE 2 Using Grouping Symbols = 160 Add inside parentheses first. Then multiply. b. 9 8 4 + 8 = 72 4 + 8 = 6 Evaluate numerator. Evaluate denominator.

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