

Let we take two numbers 2 and 3 from a set of natural numbers i.e.
{1, 2, 3, 4, 5, ..........}
Now, 2 - 3 = -1, which does not belong to set of natural numbers.
So, we can not have subtraction identity.
Again, 2/3 = 0.67, which does not belong to set of natural numbers.
So, we can not have division identity.
