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Number Properties Math 2 Unit 1
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Commutative, Associative, Identity, Distributive
What is a Property? In math, properties are statements that are true for any number. They are basic building blocks that you will use to solve problems from this point forward in math. There are 4 properties we will review/learn in Math 2 Commutative, Associative, Identity, Distributive
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Commutative Property of Multiplication/
Example Commutative Property of Multiplication/ Addition 4 x 3 = 3 x 4 OR 4 + 3 = 3 + 4 Definition: The order doesn’t matter when you add or multiply. To Do: p. 12
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Associative Property of Multiplication/
Example Associative Property of Multiplication/ Addition 2 + (3 +4) = (2+3) +4 OR 2 x (3 x4) = (2 x3) x 4 Definition: You can regroup addition or multiplication for your convenience. To do: p. 13, 14
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Identity Property of Addition 7 + 0 = 7
Example Identity Property of Addition 7 + 0 = 7 Identity Property of Multiplication 16 x 1= 16 Identity Property of Addition Definition: When you add zero to a number the answer is the number. Identity Property of Multiplication Definition: When you multiply a number by 1 the number stays the same.
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Distributive Property
Definition: We use distributive property to multiply each number that is being added or subtracted inside parentheses with the number outside the parentheses. (It can look like “cheating” on PEMDAS).
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Here’s how Distributive Property Works to do: Distributive Property Story Problems
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Associative and Commutative Property Challenge !!
How many combinations equaling 24 can you make? Work with a partner, count out 24 tiles. Use grid paper. Use any combinations of multiplication and addition. You can use some that have only addition or only multiplication and some with both. Come up with as many combinations as you can that use all of your tiles. Be prepared to draw out at least 5 and put up on the board.
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