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**The Distributive Property**

Of Multiplication By: Ms. Nunez

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**Standards 3.OA.5 SWBAT identify distributive property.**

SWBAT define distributive property. SWBAT solve distributive property problems.

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**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.

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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.”

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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 = 54!

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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!

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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.

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**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 = 25 So, 5(3 + 2) = 25

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You try! 7(2 + 8) 4(3 + 6) 2(1 + 4) 6(5 + 2) 9(7 + 1)

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