example 3 using the associative property 3 5 + 2 5 3+ = 3 5 + 2 5 +3 5 5 +3 = associative property...

$: EXAMPLE 3 Using the Associative Property 3 5 + 2 5 3+ = 3 5 + 2 5 +3 5 5 +3 = Associative property of addition Add fractions. Write as one. 5 5 Add. 4=$
EXAMPLE 3 Using the Associative Property

35

+ 25

3+ = 35 + 2

5 + 3

55

+ 3=

Associative property of addition

Add fractions.

Write as one.55

Add.4=

1 + 3=

EXAMPLE 4 Using the Associative Property

Commutative property of multiplication

Associative property of multiplication

Multiply inside grouping symbols.

Multiply.

(5 2) 11=

5 (11 2)

110=

5 (2 11)=

10 11=

GUIDED PRACTICE for Examples 3 and 4

Use properties to evaluate the expression.

Commutative property of addition


Add inside grouping symbols.

Add.

5. 18 + (–34 + 12)

= 18 + (12 + (–34))

= (18 + 12) + (–34)

= 30 + (–34)

= –4



Commutative property of addition


Add inside grouping symbols.

Add.

55 + 8=

1 + 8=

9=

6. 45

8 + 15+ 4

5= + 8+ 15

15

45 += + 8






Multiply.

7. 12 (6 )112

= 12 6)( 112

= 12 611212

( )

= 1 6

= 6






Multiply.

= 1 3

= 3

65

8. (3 )56 = 3)(5

665

= ( 56

65

) 3


Evaluate the expression using mental math.

9. 4 ( 23)14

= 23

10. –4 ( 50 )46 = – 4600

–21 – (–29)11. 0 = 0

(–6 )12. 10 110

( ) = –6

example 3 using the associative property 3 5 + 2 5 3+ = 3 5 + 2 5 +3 5 5 +3 = associative property...

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