Addition (+) Commutative Property Addition (+) Associative Property A number times the sum of two addends is equal to the sum of that same number times each individual addend.

Example: 3 (4 + 2)

3 (4 + 2) = (3 x 4) + (3 x 2)

3 x 6 = 12 + 6

18=18 Distributive Property Addition (+) Identity Property Math Properties Objective: We will be able to apply the identity, commutative, associative, and distributive properties to mathematical equations. Changing the order of the addends doesn't change the sum.

Example: 8 + 2

8 + 2=2 + 8

10=10 Changing the order of the factors doesn't change the product.

Example: 8 x 2

8 x 2=2 x 8

16=16 Multiplication (x) Multiplication (x) The grouping of the addends does not change the sum.

Example:2 + 3 + 9

(2 + 3)+9=2+(3 + 9)

14=14 The grouping of the factors does not change the product.

Example:2 x 3 x 9

(2 x 3)x 9=2 x(3 x 9)

54=54 Multiplication (x) A number added to zero is equal to the same number.

Example:

190 + 0=190 A number multiplied by one is equal to the same number.

Example:

123 x 1= 123 We can remember the commutative property by thinking of the word commute. We can remember the associative property by thinking of the word associate. We can remember the distributive property by thinking of the word distribute. We can remember the identity property by thinking of our own identity. Let's review! If you see the parenthesis, is it the associative property?

4 + (3 + 6) = 4 + (6 + 3)

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# Math Properties

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