1. Rewrite each expression using the distributive property (4-2).
Objective:
Rewrite each expression using the distributive property (4-2).

2. Vocabulary:
Distributive property- the distributive property allows you to solve problems in parts. A(b+c) = ab + ac.

3. Steps: Read all directions!!!! Write the problem.
Multiply the outside # by the 1st # in parenthesis.
Multiply the outside # by the 2nd # in parenthesis.
Last, add the two together.

4. Examples Find 6x45 mentally by using the distributive property.
Estimate 6x50=300

5. Examples Find 6x45 mentally by using the distributive property.
Estimate 6x50=300
6x45=6(40+5) use 40+5 for 45

6. Examples Find 6x45 mentally by using the distributive property.
Estimate 6x50=300
6x45=6(40+5) use 40+5 for 45
=6x40+6x5

7. Examples Find 6x45 mentally by using the distributive property.
Estimate 6x50=300
6x45=6(40+5) use 40+5 for 45
=6x40+6x5
=240+30

8. Examples Find 6x45 mentally by using the distributive property.
Estimate 6x50=300
6x45=6(40+5) use 40+5 for 45
=6x40+6x5
=240+30
= compare to the estimate

9. Adria has a paper route to earn some extra money. She earns $0
Adria has a paper route to earn some extra money. She earns $0.18 per customer per week. If she has 80 customers, how much does she make weekly?
Estimate 80x$0.20=$16

10. Adria has a paper route to earn some extra money. She earns $0
Adria has a paper route to earn some extra money. She earns $0.18 per customer per week. If she has 80 customers, how much does she make weekly?
Estimate 80x$0.20=$16
80x0.18 = 80( ) use for 1.8

11. Adria has a paper route to earn some extra money. She earns $0
Adria has a paper route to earn some extra money. She earns $0.18 per customer per week. If she has 80 customers, how much does she make weekly?
Estimate 80x$0.20=$16
80x0.18 = 80( ) use for 1.8
= 80x0.1+80x0.08

12. Adria has a paper route to earn some extra money. She earns $0
Adria has a paper route to earn some extra money. She earns $0.18 per customer per week. If she has 80 customers, how much does she make weekly?
Estimate 80x$0.20=$16
80x0.18 = 80( ) use for 1.8
= 80x0.1+80x0.08
= 8+6.4

13. Adria has a paper route to earn some extra money. She earns $0
Adria has a paper route to earn some extra money. She earns $0.18 per customer per week. If she has 80 customers, how much does she make weekly?
Estimate 80x$0.20=$16
80x0.18 = 80( ) use for 1.8
= 80x0.1+80x0.08
= 8+6.4
= 14.4
Adria will make $ Compare to the estimate

14. Guided Practice
Find each product mentally. Use the distributive property.
8x18
52x3
6.4x5

15. 8x18
Estimate 8x20=160
8x18=8(10+8)
=8x10+8x8
= 80+64
= 144
52x3
Estimate 50x3=150
52x3=3x commutative property
3x52=3(50+2)
=3x50+3x2
=150+6
= 156

16. 6.4x5
Estimate 6x5=30
6.4x5=5x commutative property
5x6.4=5(6+0.4)
=5x6+5x0.4
=30+2
=32