Question

30.232342345… , Classify the given number as rational or irrational.

Answer 1

A rational number is a number that can be expressed in the form of p / q where q ≠ 0 and p,q are integers.

30.232342345.... is a non terminating, non recurring decimal number.

A rational number always has either a terminating decimal number or a non terminating recurring number. But non terminating and non recurring number is not possible for it to be a rational number.

Hence 30.232342345... is not a rational number as it is non terminating and non recurring.

Answer 2

Given number 30.232342345...

is an irrational number.

Since , it is non - terminating

and non - recurring decimal.

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