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Identity Property

You do not change the identity of whatever you are working with.
*Add zero to it and you still get the same number as your answer
Ex: a+0=a or 5+0=5

Inverse Property

Adding a number with the opposite of that number (such as negative or positive) makes it into a zero.
Ex: 5+ -5 = 0

Commutative Property

Adding the two same numbers while having the SAME ANSWER on both sides of the equal sign.
Ex: a+b=b+a or 3+4=4+3

Associative Property

What numbers are getting associated with what numbers (You should get the same answer on both sides of the equal sign)
Ex: 2+(3+4)=(2+3)+4

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