0/0 is called an indeterminate form because the result is not a specific number.

When we say that a number is determinate, we say it is unique. So, 21/3=7 because 3*7=21. That's it for 21/3.

To see that 0/0 is not a unique number, suppose that it were. If it were, we'd have that 0/0=x so 0=0*x. Every real number x satisfies 0=0*x; it does not have a unique specific solution. So, 0/0 is not a number: it is undefined and called an indeterminate form.

Other indeterminate forms include infinity-infinity, 0^0, infinity/infinity, etc... In calculus, we study indeterminate forms. Sometimes, we can use calculus to determine the behavior of some indeterminate forms.

There are some controversies regarding the 0/0 form. In common sense, 0/0 is equal to 0, but it is not true with respect to calculus. With respect to properties of real numbers, 0/0 does not satisfies the properties.

In common sense, if we divide 0 (nothing) with 0 (nothing) then the answer will be nothing (0). In this way, 0/0 is equal to 0.

As there is some controversies regarding this form, that is why it is called undetermined form.

0 / 0 = All answers are correct or unlimited.

let's see the examples:

5x0 = 0, then 0:0 = 5

0x4 = 0, then 0:0 = 4

1000000x0 = 0, then 0:0 = 1000000, and so on.. therefore 0/0 can not be defined.

It is undetermined form

To explain 0/0, the diviser is zero and the dividend is also zero. In order to get the dividend, the quotient can be anything from 1 to infinity, as any number multiplied by zero is zero.

The answer is zero. If you have zero in the first instance you can't divide it by zero and expect to come up with a number.

...In my own small way, dividing zero by itself is undefined.Where undefined means it has no value or answer.

...If you have 0 , which is nothing, and take nothing away, then you still have nothing, or 0.

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