Question

Classify the following numbers as rational or irrational:

(i) 22/7

(ii) 3.1416

(iii) \(\pi\)

(iv) \(3.\overline{142857}\)

(v) 5.63636363....

Answer 1

(i) 22/7 is a rational number.

(ii) 3.1416 is a rational number.

It is a terminating decimal and non-repeating decimal.

(iii) \(\pi\) is an irrational number.

It is a non-terminating and non-repeating decimal.

(iv) \(3.\overline{142857}\)

A rational number. Non-terminating repeating decimal.

(v) 5.636363…

A rational number. A non-terminating repeating decimal.