# Question 4807b

Sep 14, 2016

$\frac{0}{0}$ is undefined..

#### Explanation:

$\frac{0}{0}$ is undefined..

One could explain this by saying there are 3 rules in place here.

"Zero divided by anything (except 0) is equal to 0"

$\frac{0}{5} = 0 , \text{ "0/25 = 0, " } \frac{0}{- 14} = 0$ etc

"Anything divided by itself is equal to 1.

$\frac{5}{5} = 1 , \text{ "37/37 = 1, " } \frac{- 12}{- 12} = 1$ etc

"Division by 0 is not permissible/undefined"
Dividing by 0 actually gives infinity as the answer, but infinity is not a number.

So, we have 3 possible answers using valid maths concepts.

So which is it? " "0?," " 1?" " "infinity"?#

No-one knows, so it best to just say that $\frac{0}{0}$ is undefined.