# What is the opposite and reciprocal of -2/7?

Aug 24, 2015

The opposite of $- \frac{2}{7}$ is $\frac{2}{7}$. The reciprocal of $- \frac{2}{7}$ is $- \frac{7}{2}$

#### Explanation:

The "opposite" of a number is also called the additive inverse of the number.

It is the number that, when added results in the additive identity ($0$).

Because $\left(- \frac{2}{7}\right) + \left(\frac{2}{7}\right) = 0$, these numbers are opposites or additive inverses of each other.

The "reciprocal' of a number is also called multiplicative inverse of the number.

It is the number that, when multiplied results in the multiplicative identity ($1$)

Because .$\left(- \frac{2}{7}\right) \times \left(- \frac{7}{2}\right) = 1$, these numbers are reciprocals or multiplicative inverses of each other.