Classify the following numbers as rational or irrational: (i) (ii) (iii) 0.3796 (iv) 7.478478… (v) 1.101001000100001….

Question

Classify the following numbers as rational or irrational: (i) (ii) (iii) 0.3796 (iv) 7.478478&#x2026; (v) 1.101001000100001&#x2026;.

Philoid · Accepted Answer

(i) = 4.79583152331…

Since, the number is non-terminating and non-recurring hence, it is an irrational number

(ii) = 15 = 15/1

It is a rational number as it can represented in the form of p/q

(iii) 0.3796

Since, the number is terminating number.

Therefore, it is a rational number

(iv) 7.478478 = 7.4͞7͞8

Since, the number is non-terminating recurring number.

Therefore, it is a rational number

(v) 1.101001000100001…

Since, the number is non-terminating non-repeating.

Hence, it is an irrational number