Commutative Property
The order of the addends does not affect the result
(a + b = b + a)
Associative Property
Indicates that grouping of numbers does not affect the result
(a + b) + c = a + (b + c)
Existence of Additive Identity
There is a number (zero) such that adding it to any number does not change its value
(a + 0 = a)