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Question:
why cannot we have a subtractive and division identity?
Answer:

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.

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