# What is the opposite and reciprocal of 7?

Jun 27, 2015

The opposite of $7$ is $- 7$

The reciprocal of $7$ is $\frac{1}{7}$

#### Explanation:

The opposite is the additive inverse.

$7 + \left(- 7\right) = 0$ where $0$ is the identity for addition.

If you picture the real numbers on a line with $0$ in the centre, the opposite of a number is on the opposite side of $0$ at the same distance.

The reciprocal is the multiplicative inverse.

$7 \cdot \left(\frac{1}{7}\right) = 1$ where $1$ is the identity for multiplication.

When you are dealing with fractions, just swap the top and bottom to form the reciprocal. For example, the reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$.