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Question 9:
Classify the following numbers as rational or irrational:
(i) 
(ii) 
(iii) 0.3796
(iv) 7.478478
(v) 1.101001000100001…
(i) 
As the decimal expansion of this number is non-terminating non-recurring, therefore, it is an irrational number.
(ii) 
It is a rational number as it can be represented in 
form.
(iii) 0.3796
As the decimal expansion of this number is terminating, therefore, it is a rational number.
(iv) 7.478478 … 
As the decimal expansion of this number is non-terminating recurring, therefore, it is a rational number.
(v) 1.10100100010000 …
As the decimal expansion of this number is non-terminating non-repeating, therefore, it is an irrational number.
