Question

Which of the following statement is not correct regarding rational number?

• A. It can be written in the form of p/q where p and q are integers and q ≠ 0.
• B. It can have terminating decimal form.
• C. It can have non terminating recurring decimal.
• D. It cannot be represented on a number line.

Answer 1

The correct option is D

It cannot be represented on a number line.

Any rational number can be expressed in the form $\frac{p}{q}$, where p and q are integers and q is not equal to zero.
Let us take few examples to understand.

Decimal form of a rational number can be non-terminating recurring.
Example: $\frac{1}{3}$ = $0.\overline{33}$ (Non terminating recurring)

Decimal form of a rational number can also be terminating.
Example: $\frac{2}{5}=0.4$ (Terminating in nature)

Also, all rational numbers can be represented on a number line.