Question

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

Answer 1

The opposite of `-2/7` is `2/7`. The reciprocal of `-2/7` is `-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 `(-2/7) + (2/7) = 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 .`(-2/7) xx (-7/2) = 1`, these numbers are reciprocals or multiplicative inverses of each other.