Question

State whether the given statements are true or false.
(a) All whole numbers are rational numbers.
(b) The reciprocal of a rational number is always a rational number.

Answer 1

(a) True. Because all whole numbers can be expressed in the form $\frac{p}{q}$. For e.g. $0$ as $\frac{0}{1}$, $1$ as $\frac{1}{1}$, $2$ as $\frac{2}{1}$ and so on.

(b) False. This is not always true. Because if we try to take the reciprocal of a rational number, say $0$ , we get $\frac{1}{0}$ which is not defined.