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

1 Answer
Aug 24, 2015

Answer:

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.