Applications of Reciprocals

Key Questions

When you multiply a reciprocal with its original number, the result is 1.
When you add the opposite to its original number, the result is 0.

Explanation:

4*¼=1

¼ is the reciprocal of 4

$7 + \left(- 7\right) = 0$

-7 is the opposite of 7

• No, since $\frac{1}{0}$ is undefined.

I hope that this was helpful.

• As dividing by a rational number is equivalent to multiplying by its reciprocal and this is easier, hence, reciprocals are useful when dividing rational expressions.