Q. 1

A number having non-terminating and recurring decimal expansion is –
A. an integer

B. a rational number

C. an irrational number

D. a whole number

Answer :

By definition, a rational number is one which follows either of the following 2 conditions:

1. It can be expressed in form where p and q are integers (q 0).


2. Its decimal expansion is either terminating or non-terminating recurring.


Ex. – 0.35 (terminating decimal expansion) Rational number


0.7777…. = (non-terminating but recurring i.e. the number does not terminate but its digits follow a pattern.) Rational number


π = 3.14…… (Non-terminating non recurring) Irrational number


Hence, the answer.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Rationalizing the DenominatorQuiz | Rationalizing the DenominatorQuiz | Rationalizing the Denominator39 mins
The Curious Case of Irrational NumbersThe Curious Case of Irrational NumbersThe Curious Case of Irrational Numbers43 mins
Irrational numbers on Number lineIrrational numbers on Number lineIrrational numbers on Number line32 mins
Terminating & Non - Terminating Decimal ExpansionTerminating & Non - Terminating Decimal ExpansionTerminating & Non - Terminating Decimal Expansion51 mins
Quiz on Irrational NumbersQuiz on Irrational NumbersQuiz on Irrational Numbers31 mins
Quiz | Learning the Laws of ExponentsQuiz | Learning the Laws of ExponentsQuiz | Learning the Laws of Exponents52 mins
Quiz | Irrational Numbers and its OperationsQuiz | Irrational Numbers and its OperationsQuiz | Irrational Numbers and its Operations45 mins
Champ Quiz | RationalizationChamp Quiz | RationalizationChamp Quiz | Rationalization30 mins
RD Sharma | Practice Imp.Qs. on Number SystemRD Sharma | Practice Imp.Qs. on Number SystemRD Sharma | Practice Imp.Qs. on Number System48 mins
Quiz | Decimals - Whether Rational or IrrationalQuiz | Decimals - Whether Rational or IrrationalQuiz | Decimals - Whether Rational or Irrational43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses