Question

If $\frac{p}{q}$ is a rational number, then _________.

(A) both p and q can be equal to zero
(B) p cannot be equal to 0
(C) q cannot be equal to 0
(D) both p and q cannot be equal to zero

(1 mark)

Answer 1

A rational number cannot have its denominator as zero because division by 0 is not defined.
(0.5 mark)

A rational number is defined as the number which can be expressed in the form of $\frac{p}{q}$, where $p$ and $q$ are integers and $q\ne 0$.
(0.5 mark)