# What is the opposite and reciprocal of pi-3?

Jul 8, 2015

#### Answer:

The opposite is what makes $0$ when added
The reciprocal is what makes $1$ when multiplied

#### Explanation:

Opposite:
Usually you 'flip' the signs:
$- \pi + 3$ because $\left(\pi - 3\right) + \left(- \pi + 3\right) = 0$

Reciprocal:
Usually you make numerator and denominator change places.
(Think of $\pi - 3$ as $\frac{\pi - 3}{1}$)
Then the reciprocal will be:
$\frac{1}{\pi - 3}$ because $\frac{\pi - 3}{1} \cdot \frac{1}{\pi - 3} = 1$