Question

q is not equal to 0​

Answer 1

Answer:

please send full question

I think you say about p/q rational number where q

not equal to 0

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Answer 2

Step-by-step explanation:

A rational number is in p/q form. Why is q not equal to zero there?

Because you can't divide by zero.

In sufficiently well-behaved algebras (this is certainly true of the rational numbers, but it's more generally true) 0 is an additive identity, so 0 + q = q for all q, and multiplication distributes over addition.

We have p.q = p(q + 0) = p.q + p.0

and p.0 must be the additive identity. We can't have more than one additive identity - exercise for the reader!

So p.0 = 0 for all p. Similarly 0.p = 0 for all p.

Since multiplying by 0 always produces 0, dividing 0 by 0 is ambiguous (it could be anything) and dividing anything else by 0 is not possible. Either way, dividing by 0 is not defined.