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2. Lesson Menu Main Idea and Vocabulary Key Concept: Distributive Property Example 1:Write Sentences as Equations Example 2:Write Sentences as Equations Example 3:Real-World Example Concept: Summary: Real Number Properties Example 4:Use Properties to Evaluate Expressions

3. Main Idea/Vocabulary equivalent expressions properties Use Commutative, Associative, Identity, and Distributive properties to solve problems.

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5. Example 1 Write Sentences as Equations Use the Distributive Property to evaluate the expression 8(5 + 7). Answer: 96 8(5 + 7) = 8(5) + 8(7)Distributive Property = 40 + 56Multiply. = 96Add.

6. Example 1 A.9 B.12 C.27 D.36 Use the Distributive Property to evaluate the expression 4(6 + 3).

7. Example 2 Write Sentences as Equations Use the Distributive Property to evaluate the expression 6(9) + 6(2). Answer: 66 6(9) + 6(2)=6(9 + 2)Distributive Property = 6(11)Add. =66Multiply.

8. Example 2 A.8 B.26 C.56 D.105 Use the Distributive Property to evaluate the expression (5 + 3)7.

9. Example 3 VACATIONS Mr. Harmon has budgeted $150 per day for his hotel and meals during his vacation. If he plans to spend six days on vacation, how much will he spend? You can find how much Mr. Harmon will spend over the six-day period by finding 6 × 150. You can use the Distributive Property to multiply mentally.

10. Example 3 6(150) = 6(100 + 50)Rewrite 150 as 100 + 50. Answer: Mr. Harmon will spend about $900 on a six-day vacation. = 6(100) + 6(50)Distributive Property = 600 + 300Multiply. = 900Add.

11. Example 3 A.$2.50 B.$62.50 C.$150 D.$162.50 COOKIES Heidi sold cookies for $2.50 per box for a fundraiser. If she sold 60 boxes of cookies, how much money did she raise?

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13. Example 4 Find 5 ● 13 ● 20 mentally. Justify each step. Answer: 1,300 Use Properties to Evaluate Expressions 5 ● 13 ● 20=5 ● 20 ● 13 Commutative Property of Multiplication =(5 ● 20) ● 13 Associative Property of Multiplication =100 ● 13 or 1,300Multiply 100 and 13 mentally.

14. Example 4 A.Associative Property of Addition B.Commutative Property of Addition C.Identity Property of Addition D.A and B Name the property shown by the statement 4 + (6 + 2) = (4 + 6) + 2.

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