Question

Classify the following numbers as rational or irrational :

$\left(iii\right)0.3796$

Answer 1

A rational and irrational number.

Any decimal representation that is terminating or non-terminating but repeating of digits after the decimal point will be a rational number.

Any decimal representation that is non-terminating and non-recurring, will be an irrational number.

The given number $0.3796$ is terminating.

Hence, $0.3796$ is a rational number.