1. The Distributive Property This Lesson is Being Distributed by:
Mr. Peter Richard
Your Incredible Math Teacher

2. 2-4 THE DISTRIBUTIVE PROPERTY
OBJECTIVES
To use the distributive property to simplify expressions.
Look at this problem:
2(4 + 3)
Through your knowledge of order of operations, you know what to do first to evaluate this expression.
2(7) 14
Now, look what happens when I do something different with the problem. * *
No difference.
This is an example of the distributive property.
2(4 + 3) = 8 + 6 = 14

3. 1-7 THE DISTRIBUTIVE PROPERTY
EX1β
EXAMPLE 1α: Use the distributive property to find each product.
a. 7 * b. 8(6.5)
The book would have you break this problem down into:
The book would have you break this problem down into:
Then distribute.
Then distribute.
Finally, subtract.
Finally, add.
7(100 – 2)
8( )
700 – 14 48 + 4
686 52
There is some merit to part B…that is a good way to solve the problem without a calculator.
With a calculator available, however, why bother distributing?

4. 1-7 THE DISTRIBUTIVE PROPERTY
EXAMPLE 1β: Use the distributive property (if necessary) to find each product.
a. 16(101) b. 9(10.6)

5. Multiplying
2(3x + 4) =
(This is also called expanding) 6x
6x + 8

6. Multiplying
3(3x - 1) = 9x
9x - 3

7. Multiplying
x(3x - 1) =
3x²
3x² - x

8. Multiplying
-½ (2x - 8) =
-½(2x - 8) = -x
-x + 4

9. Let’s Practice!! 3(x - 2) Now you do some. 1) 4 (x + 3) 7(x – 2)
The product of this problem is 3x - 6

10. 2-4 THE DISTRIBUTIVE PROPERTY
HOMEWORK
Quiz P-82 #16, 18 ,22, 28, 34
Homework #15, 17, 21, 31, 33