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

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

1-7 THE DISTRIBUTIVE PROPERTY EX1β EXAMPLE 1α: Use the distributive property to find each product. a. 7 * 98 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(6 + 0.5) 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?

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

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

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

Multiplying x(3x - 1) = 3x² 3x² - x

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

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

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