# 8/0 is what?

Jun 16, 2015

#### Answer:

It is undefined or you cannot evaluate it.

#### Explanation:

You cannot evaluate $\frac{8}{0}$ because there is no real number (call it $a$) that can be solution of it:

If you try you get:
$\frac{8}{0} = a$
rearranging:

$8 = a \cdot 0$ that is not true!

$- - - - - - - - - - - - - - - - - - -$

In Calculus you can have a way out or trick to "visualize" the idea behind $\frac{8}{0}$ by choosing instead of $0$ a value that is near $0$ but not $0$, such as $0.001$
If you try to get as near as possible to zero increasing the number of zeros after the point you'll get very big numbers.
$\frac{8}{0.1} = 80$
$\frac{8}{0.01} = 800$
$\frac{8}{0.001} = 8000$
etc.
the idea is that when you try to get near zero the result of the division gets bigger and bigger....or infinite!