Question

Why zero can't be divided by itself ?

Answer 1

It is indeterminate.

Explanation:

Because `a divide b` is asking the same question as what is `x` when:

`x times b = a`

with `0/0` you are asking what `x` makes this true:

`x times 0 =0`

The answer is any value of `x` no matter what so the answer is indeterminate, i.e. the solution cannot be determined which is different from undefined.

Other indeterminate forms would be `oo/oo`, `0^0`, `0 times oo`

Answer 2

I tried this:

Explanation:

Maybe it isn't a great explanation but...
Consider, for example, that you can evaluate it and get a result:

`0/0="result"`

where, resut is a number, say, `n`.

we get:

`0/0=n`

and from algebra taking the zero in the denominator to the right:

`0=n*0`

and so:

`0=0` which is true!

but ....it is true reagardless of the value of `n` (it always works!!!).

So, if they ask "what is the result of `0/0`" you will be forced to answer "all the numbers" that it is a bit like to say that you cannot have one result!