Funny mathematics: what will I get if I divide zero(0) by zero(O)

What will (0/0) result?

Infinity?

zero?

1?

or something else???

The mathematicians had a lot of experiments and thoughts on this. There were many suggested solutions as well. I am going to present some of them and also the actual description here.

Solution 1:

We know if 0 is numerator of a fraction, it results 0. So the answer will be zero(0).

Solution 2:

When 0 is denominator, it is infinity. Because (something by 0 is infinity).

Solution 3:

This is quite different from the previous ones.

These people said, "Let's think what is division. (20/4) means what number should I multiply with 4 to get 20. So, (0/0) means what should I multiply with zero(0) to get zero(0)."

It can be anything as (something*0=0).

Solution 4:

This people said. No!

We know, 1 by 1 is 1, 5 by 5 is 1 so the result will be 1.

Solution 5:

The mathematicians said, "We can't determine the value of (0/0). It is INDETERMINATE."

And this is the actual solution of (0/0).

Now a simple question is, "We now know (0/0=indeterminate). Is it undefined too?"

Yes it is. Why not?

It is raising confusion. And the thing that doesn't have actual value, raises confusion is called undefined.

And a special case of undefined is indeterminate.

(1/0) is undefined but not indeterminate. But (0/0) is undefined. And more specifically it is indeterminate.