Objective:
Rewrite each expression using the
distributive property (4-2).
Vocabulary:

Distributive property- the distributive
property allows you to solve problems in
parts. A(b+c) = ab + ac.
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.

Examples
Find 6x45 mentally by using the
distributive property.
Estimate 6x50=300
Examples
Find 6x45 mentally by using the
distributive property.
Estimate 6x50=300
6x45=6(40+5)
use 40+5 for 45
Examples
Find 6x45 mentally by using the
distributive property.
Estimate 6x50=300
6x45=6(40+5)
=6x40+6x5
use 40+5 for 45
Examples
Find 6x45 mentally by using the distributive
property.
Estimate 6x50=300
6x45=6(40+5)
=6x40+6x5
=240+30
use 40+5 for 45
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
=270
compare to the estimate
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
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(0.1+0.08)
use 0.1+0.08 for 1.8
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(0.1+0.08)
= 80x0.1+80x0.08
use 0.1+0.08 for 1.8
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(0.1+0.08)
= 80x0.1+80x0.08
= 8+6.4
use 0.1+0.08 for 1.8
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(0.1+0.08)
use 0.1+0.08 for 1.8
= 80x0.1+80x0.08
= 8+6.4
= 14.4
Adria will make $14.40. Compare to the estimate
Guided Practice
Find each product mentally. Use the
distributive property.

8x18

52x3

6.4x5
8x18
Estimate 8x20=160
8x18=8(10+8)
=8x10+8x8
= 80+64
= 144

52x3
Estimate 50x3=150
52x3=3x52
3x52=3(50+2)
=3x50+3x2
=150+6
= 156

commutative property
6.4x5
Estimate 6x5=30
6.4x5=5x6.4
5x6.4=5(6+0.4)
=5x6+5x0.4
=30+2
=32
commutative property