Classify the following numbers as rational or irrational:

**(i)** ** (ii)** ** (iii)** 0.3796 **(iv)** .... **(v)**

**(vi)** 1.101001000100001…

**Solution:**

**(i)** …..

The decimal expansion of is non-terminating non-recurring. Therefore, it is irrational number.

**(ii) **

It is rational number because it can be expressed in form as .

**(iii) 0.3796**

The decimal expansion is terminating. Therefore, it is a rational number.

**(iv) **

The decimal expansion is non-terminating recurring. It means that it is a rational number.

**(v) **1.101001000100001…

The decimal expansion is non-terminating non-recurring. Therefore, it is irrational number.