Part 1: What does it mean to distribute

1
The Distributive Property
Part 1 What does it mean to distribute?
Part 2 The Definition of the Distributive
Property
Part 3 Simplifying with the Distributive
Property
Part 4 Using Distribution to do Mental Math
2
The Distributive Property
Part 1 What does it mean to distribute?

• In your own words, what does distribute mean?

• Example Distributing Candy

3
The Distributive Property
Part 2 The Definition of the Distributive
Property

• a(b c) ab bc
• a(b - c) ab - bc

• Examples 4(3 2) 4(3) 4(2) 12 8 20
• 4(3 - 2) 4(3) - 4(2) 12 -
  8 4

4
The Distributive Property
Part 2 The Definition of the Distributive
Property

• Why do we need the distributive property if we
  already have the order of operations?

So that we can simplify problems with variables
4(x 2) 4(x) 4(2) 4x 8 or 5x 3x (5
3)x 8x
5
The Distributive Property
Part 3 Simplifying with the Distributive
Property

• Simplify the following expressions by using the
  distributive property

1. 3(x 2) 2. 5(x - 3) 3. -2(x - y) 4.
-(3 y)
3x 6
5x - 15
-2x - (-2y) -2x y
-1(3 y) -3 - y
6
The Distributive Property
Part 4 Using Distribution to do Mental Math

• Who can answer this question first? (no
  calculators)

4(3.99)
4(4 - 0.01) 4(4) - 4(0.01) 16 -
0.04 15.96
7
The Distributive Property
Part 4 Using Distribution to do Mental Math

• Use distribution to try the following Problems
  (Show your work!)

1. 398 2. 4(2.97) 3. 5(202)
3(100 - 2) 3(100) - 3(2) 300 - 6 294
4(3 - 0.03) 4(3) - 4(0.03) 12 - 0.12 11.88
5(200 2) 5(200) 5(2) 1,000 10 1,010
8
The Distributive Property
THE END