# The Distributive Property - PowerPoint

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```					The Distributive
Property
We are learning how to simplify
expressions using the Distributive
Property.

Wednesday, May 30, 2012
Team Investigation…
   With your team simplify the given expressions using the
Order or Operations.

   When you are done draw lines between any expressions
that have the same solution.

   Last reflect with you team about What similarities do you
notice between the expressions that you matched from
“Column 1” and “Column 2?”

   Do you see any patterns or trends?
The Distributive Property

A(B) + A(C)
A(B + C) = _________________

-or-

A(B) – A(C)
A(B – C) = _________________
Use the Distributive Property to write the
expression below in an equivalent form…

7 3  10 = ______________________
7(3) + 7(10)

6  7  3 = ______________________
6(7) – 6(3)

8  2  12  8 = ______________________
8(2) + 8(12) + 8(8)

31  4  2  7  10 = __________________________
3(1) - 3(4) + 3(2) – 3(7) + 3(10)
You can even use the distributive property backwards to help find the
answer to a difficult multiplication problem.

For example…try to multiply 9(107) by doing…

9(107) = 9(100 + 7)

= 9(100) + 9(7)

= 900 + 63

= 963
You can even use the distributive property backwards to help find the
answer to a difficult multiplication problem.

For example…try to multiply 3(46) by doing…

3(46) = 3(50 – 4)

= 3(50) – 3(4)                  Use the
Distributive
= 150 – 12               Property to solve
the multiplication
expression to
= 138                 multiply 8(217)

```
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