# What is 0 divided by -2, is it no solution?

Feb 10, 2016

No,$\frac{0}{-} 2 = 0$
Because,$- 2 \cdot 0 = 0$

Feb 10, 2016

$\frac{0}{- 2} = 0$

#### Explanation:

For any real number $a \ne 0$ we have $\frac{0}{a} = 0$. It's having $0$ in the denominator that gives us problems.
$\frac{a}{0}$ is undefined.

One way of arriving at the conclusion above is looking at how we add rational numbers with the same denominator:

$0 = 1 - 1 = \frac{- 2}{- 2} - \frac{- 2}{- 2} = \frac{- 2 - \left(- 2\right)}{- 2} = \frac{0}{- 2}$