What is the inverse property of multiplication and addition?

Answer 1

The inverse property of addition states that for every number n, n + (-n) = 0.

The inverse property of multiplication states that for every non-zero number n, n * (1/n) = 1. (note the non-zero part is important or else we would be dividing by zero and we are not allowed to do that)

So division is the inverse operation of multiplication and

subtraction is the inverse operation of addition.

One use of these properties is in solving equations.

For example:

Solve: 2x + 4 = 0

Subtract 4 on both sides; but this is really adding -4 so it uses negation (deriving -4 from 4), which is the inverse of addition.

2x = -4.

Divide both the sides by 2; but this is really multiplying by 1/2 so it uses inversion (getting from 2 to 1/2), which is the inverse property of multiplication.

x=-2

Basically:When u multiply, it comes up to 1 and when u add it comes up to 0!