Identity Property of Addition / Multiplication
Identity Property of Addition (IdentityPA)
When ever you add zero to anything you always end up with what you started with. The identity of what you started with does not change. (The identity element of addition is 0)
Identity Property of Addition
(the value does not change)
a + 0 = a
8 + 0 = 8
(a + b) + 0 = (a + b)
0 + z = z
0 + (3 + y) = (3 + y)
7 = 0 + 7


Identity Property of Multiplication (IdentityPM)
When ever you multiply anything by one you always end up with what you started with. The identity of what you started with does not change. (The identity element of multiplication is 1)
Identity Property of Multiplication
(the value does not change)
a • 1 = a
8 • 1 = 8
(a • b) • 1 = (a • b)
(x + y) • 1 = (x + y)
(3 • y) = (3 • y) • 1
1 • (-4 + x) = (-4 + x)