1. Splash Screen

2. 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
Lesson Menu

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

4. KC

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

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

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

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

9. 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.
Example 3

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

11. COOKIES Heidi sold cookies for $2. 50 per box for a fundraiser
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?
A. $2.50
B. $62.50
C. $150
D. $162.50
Example 3

12. CS

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

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

15. End of the Lesson