# What is the opposite and reciprocal of -1?

Jul 3, 2015

The opposite of $- 1$ is $1$, and the reciprocal of $- 1$ is $\left(\frac{1}{- 1}\right) = - 1$.

#### Explanation:

The opposite of a number is the additive inverse, which when added to the original number, the result is zero.

$- 1 + 1 = 0$

The reciprocal of a number is the multiplicative inverse, which when multiplied times the original number, the result is one.

$- 1 \cdot \left(\frac{1}{- 1}\right) = 1$