Inverse Properties

Additive Inverse: 1.)  any two numbers whose sum is zero; 2.)  the sum of a number and its opposite always equals zero.

Arithmetic Example:  4 + (-4) = 0; -7.5 + 7.5 = 0

Algebraic Example:  n + (-n) = 0; -x + x = 0

 

Multiplicative Inverse: 1.)  any two numbers whose product is one; 2.) the product of a number and its reciprocal always equals one.

Arithmetic Example: 4 x 1/4 = 1; 2/5 x 5/2 = 1

Algebraic Example: n  x  1/n = 1; 4/m  x  m/4 = 1