1. 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= 1 + 3=

2. 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=

3. GUIDED PRACTICE for Examples 3 and 4 Use properties to evaluate the expression. Commutative property of addition Associative property of addition Add inside grouping symbols. Add. 5. 18 + (–34 + 12) = 18 + (12 + (–34)) = (18 + 12) + (–34) = 30 + (–34) = –4

4. GUIDED PRACTICE for Examples 3 and 4 Use properties to evaluate the expression. Commutative property of addition Associative property of addition Add inside grouping symbols. Add. 5 5 + 8= 1 + 8= 9= 6. 4 5 8 +8 + 1 5 + 4 5 = + 8 + 1 5 1 5 4 5 +=

5. GUIDED PRACTICE for Examples 3 and 4 Use properties to evaluate the expression. Commutative property of multiplication Associative property of multiplication Multiply inside grouping symbols. Multiply. 7. 12 (6 ) 1 12 = 6) ( 1 12 = 6 1 ( ) =16 = 6

6. GUIDED PRACTICE for Examples 3 and 4 Use properties to evaluate the expression. Commutative property of multiplication Associative property of multiplication Multiply inside grouping symbols. Multiply. =13 = 3 6 5 8. (3 ) 5 6 = 3) ( 5 6 6 5 = ( 5 6 6 5 ) 3

7. GUIDED PRACTICE for Examples 3 and 4 Evaluate the expression using mental math. 9. 4 ( 23) 1 4 = 23 10. –4 ( 50 ) 46= – 4600 –21 –(–29)11. 0 = 0 (–6 ) 12. 10 1 ( ) = –6