Question

Which of the following is/are a rational number?

• A.
• B.
• C.
• D. 4.8

Answer 1

Answer: (B), (D)

The correct options are
B

D

4.8

A rational number is a number which can be written in the form of $\frac{p}{q}$ where p and q are Integers, q is not equal to zero. A number is also said to be rational if the decimal expansion is either terminating or non-terminating and recurring in nature.
The Value of $\pi$ is 3.14159265358... the digits do not terminate nor recur and hence it is not rational.
$\sqrt{2}=\mathrm{1.414213562373095...}$, the digits again are not recurring and non-terminating. So, it is not rational.
$\frac{2}{0}$ is not defined. For a rational number, the denominator should be non-zero always.
But, 4.8 and $\frac{2}{3}$ satisfy all the properties of a rational number as it is equal to $\frac{48}{10}$ and $\frac{2}{3}$ respectively.