What is 8 divided by 0?

Jan 27, 2016

It is infinite. Normally it is denoted by symbol $\infty$

Explanation:

As a matter of fact division by zero has not been defined.
Please recall that for any number $n$

$n \times 0 = 0$
$\implies$ that the number could be 8, as you have stated, or it could be any other number of your second, third or any other choice.

If we write in division form by taking one of the two zeros or $n$ to the other side of equation, we obtain.

n/ 0=?/0, we could put any other number to replace "?"

or $n = \frac{0}{0}$, where $n$ could be any number of choice.
or $\frac{0}{0} = \frac{1}{n}$, where $n$ could be any number of choice again.

We see that we don't have any unique representation in case of division by 0. Therefore, division by 0 is indeterminate.