The decimal expansion of the number is.
(A) A finite decimal
(B)
(C) non-terminating recurring
(D) non-terminating non-recurring
Answer: [D]
Solution.
Terminating decimals have a finite number of digits after decimal point,
Examples:
Non terminating decimals are the ones which keep on continuing after decimal point.
Examples:
Recurring decimals are those non terminating decimals which have a particular pattern/sequence that keeps on repeating itself after the decimal point. They are also called repeating decimals.
Examples:
Non-Recurring decimals are those non terminating decimals which do not have a particular pattern/sequence after the decimal point. They are also called non repeating decimals.
Examples:
So, the decimal expansion of the number is non-terminating non-recurring. It is an irrational number which is a non-terminating non-recurring decimal expansion.
Therefore option (D) is correct.