Q.9. Classify the following numbers as rational or irrational:
(i) (ii) (iii) 0.3796
(iv) 7.478478… (v) 1.101001000100001…
(i) = 4.79583152331...
Square roots of all the numbers, except perfect squares are irrational. Hence it is an irrational number.
All integers (like 15) can be represented in the form, hence it is rational number.
Since the number is terminating therefore, it is a rational number.
(iv) 7.478478… = 7.
Since this number is non-terminating recurring, it is a rational number.
Since the number is non-terminating non-repeating, it is an irrational number.