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Math Properties of Addition

Math Properties of Addition

Author: Rebecca Davis

This lesson plan will focus on the mathematical properties of addition. Including: Commutative, Associative, Identity, and Inverse.

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Commutative Property

When you are adding two numbers, it doesn't matter which order the numbers are in.

2 + 6 = 8

6 + 2 =8

(Order doesn't matter in addition!)

Associative Property

When solving problems based on the rule from the Order of Operations (PEMDAS) that you have to solve what is in parentheses first. 

However, when there is ONLY addition in the problem it doesn't matter where the parenthesis is located because the answer will be the same. 

1 + (2 + 7) = 10

(1 + 2) + 7 = 10

(The Parentheses can "associate" with different numbers)

REMEMBER: This cannot be used with subtraction!

Identity Property

When you add 0 to any number it keeps the same identity.

6 + 0 = 6

0 + 6 = 6

Additive Inverse

If you add the opposite of a number to itself then you will get 0.


The opposite of 6 is -6

-6 + 6 = 0

6 + -6 = 0