Question

What would be the answer if we divide $\dfrac{0}{0}?$

Answer 1

Hint: We know the property which says that when zero i.e. $0$ is divided by any number, it gives us the value zero only. It will never change what we multiply or divide any number of. Zero is an integer just before $1$. It’s an even number that is neither positive nor negative. It is not a counting number.

Complete step by step solution:
We have to find the answer of $\dfrac{0}{0}$.
As we know the property which says that any number when divided by itself is equal to one. So according to this property the answer should be one.
There is another property which says that when zero is divided by any number it should be zero. So we get the answer zero according to this property. Both of these properties are correct.
So this expression in and of itself comes into conflict with these two arithmetic properties. We cannot find the defined answer.
Hence the answer of $\dfrac{0}{0}$ is undefined.

Note:
We should note that in terms of calculus this number $\dfrac{0}{0}$ is also called an indeterminate form i.e. it does not have any exact value. We should remember that not only the above form but any non-zero number such as $1,2,9,6...$ when divided by zero, the answer is undefined. In mathematics we can interpret dividing by zero as multiplying by zero. There is no number that we can multiply by zero to get a non-zero number.