There are four mathematical properties which involve addition. The properties are the commutative, associative, additive identity and distributive properties.

**Commutative property:** When two numbers are added, the sum is the same regardless of the order of the addends. For example 4 + 2 = 2 + 4

**Associative Property:** When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (2 + 3) + 4 = 2 + (3 + 4)

**Additive Identity Property:** The sum of any number and zero is the original number. For example 5 + 0 = 5.

**Distributive property:** The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3