The document discusses the distributive property in mathematics. It states that the distributive property allows terms outside of parentheses to be distributed across terms inside the parentheses when those inner terms are combined by addition or subtraction. It provides examples of using the distributive property to simplify expressions like 3(2+6), distributing the 3 to each term inside the parentheses. It also defines the general distributive property formula as a(b + c) = ab + ac.

1. Distributive
Property

2. What does it mean
to distribute?

3. What does it mean
to distribute?
Draw a newspaper
delivery truck.

4. What does it mean Solve using Solve by
PEMDAS distributing
to distribute?
3(2 + 6) 3(2 + 6)
Draw a newspaper
delivery truck.

5. What does it mean Solve using Solve by
PEMDAS distributing
to distribute?
3(2 + 6) 3(2 + 6)
3(8)
24
Draw a newspaper
delivery truck.

6. What does it mean Solve using Solve by
PEMDAS distributing
to distribute?
3(2 + 6) 3(2 + 6)
3(8) 3(2) + 3(6)
24 6 + 18
24
Draw a newspaper
delivery truck.

7. What does it mean Solve using Solve by
PEMDAS distributing
to distribute?
3(2 + 6) 3(2 + 6)
3(8) 3(2) + 3(6)
24 6 + 18
24
Draw a newspaper Simplify by distributing
delivery truck. 4(x + 8)

8. What does it mean Solve using Solve by
PEMDAS distributing
to distribute?
3(2 + 6) 3(2 + 6)
3(8) 3(2) + 3(6)
24 6 + 18
24
Draw a newspaper Simplify by distributing
delivery truck. 4(x + 8)
4(x) + 4(8)
4x + 32

9. DISTRIBUTIVE PROPERTY
The distributive property helps us when we cannot
solve what is in the parentheses.
For example: 3(x + 7)
We cannot add x and 7 so we need to distribute.
We must distribute the 3 to BOTH the x and the 7
Then we multiply
For an answer we would get 3x + 3(7) or 3x + 21
In general form, we write the distributive property as
a(b + c) = ab + ac