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