Inverse Property of Addition / Multiplication
- Inverse Property of Addition (InversePA)
- When you add opposites
you always end up with zero. Opposites always cancel each other out.
(The additive inverse of a number is its opposite.)
Inverse Property of Addition
(Opposites always cancel) |
|---|
| a + -a = 0 |
| 8 + -8 = 0 |
| (a + b) + -(a + b) = 0 |
| -z + z = 0 |
| -(3 + y) + (3 + y) = 0 |
| 0 = -7 + 7 |
- Inverse Property of Multiplication (InversePM)
- When you multiply
anything by its reciprocal you always end up with one. The product of reciprocals is always one.
(The multiplicative inverse of a number is its reciprocal.)
Inverse Property of Multiplication
(The product of reciprocals is one) |
|---|
| a • 1/a = 1 |
| 8 • 1/8 = 1 |
| ab • 1/(ab) = 1 |
| (x + y) • 1/(x + y) = 1 |
| 1/(3y) • 3y = 1 |
| 1/5 • 5 = 1 |