The Distributive PropertyOf Multiplication

By: Ms. Nunez

Standards 3.OA.5

SWBAT identify distributive property. SWBAT define distributive property. SWBAT solve distributive property

problems.

What is the Distributive Property?

It’s when multiplying a number is the same as multiplying its addends by the number and then adding up the products!

For example: 6(4+5) is the same as 6x4 + 6x5 it all equals 54.

Let me show you! But wait, Ms.! When will I ever need to

use this? What does distributive mean? First answer: Say you don’t know 6 x 9

off the top of your head. You can break down 9 and distribute to find the answer.

Second answer: Think about it. What does DISTRIBUTIVE mean? What do you do when you DISTRIBUTE something? Hint: “Ms. Nunez distributes the

worksheets to the class.”

Define Distributive Great! When you distribute something,

you hand it out. So the 6 in 6 (4 + 5) is being DISTRIBUTED to both the 4 and the 5, then all you do is add!

Show your work! 6 (4 + 5) 6x4 + 6x5 24 + 30 = 54!

Breakin’ It Down So, as I said, you can use the Distributive

Property to break down multiplication facts you may not remember off the top of your head.

For example: I forgot what 8 x 8 was, but I know I can break down one of these numbers.

So, I can make 8(5 + 3) and distribute the 8 to both 5 and 3.

I can do this because…what does 5 +3 equal? 8!

Step it out! Step 1: Identify the number that you

will be DISTRIBUTING. Step 2: DISTRIBUTE the number to

both factors in the parenthesis. Step 3: Solve for both problems. Step 4: Add them together.

Let’s try together. Example: 5(3 + 2)

What happens first? Right, so 5 is the number I’m distributing.

What two numbers am I distributing it to? Yes! The 3 and the 2, it should look like this:

5x3 + 5x2 Now what?

Multiply & then Add! 5x3= 15, 5x2 = 10 15 + 10 = 25 So, 5(3 + 2) = 25

You try! 7(2 + 8)

4(3 + 6)

2(1 + 4)

6(5 + 2)

9(7 + 1)