1. Properties of Real Numbers

2. Commutative Property of + or x
2  3 = 3  2
Two numbers switch places.
Associative Property of + or x
1 + (2 + 3) = (1 + 2) + 3
2  (3  5) = (2  3)  5
Three numbers, parenthesis move.

3. Distributive Property
4  (2 + 3) = 4   3
Multiplication distributes over addition.
Identity Properties of + or x
3 + 0 = 3 or
3  1 = 3
The same number is on the left and the right of the equal sign.

4. Inverse Properties of + or x
The answer is either 0 for addition or 1 for multiplication.
Multiplicative Property of Zero
5 x 0 = 0
A number times zero equals zero.