Q. 44.0( 23 Votes )

Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers:

(i) (ii) 3 (iii) (iv) (v) (vi)

Answer :

(i) = 2 =

can be written in the form of , so it is a rational number.


Its decimal expansion is 2.0


(ii) 3 = 3


= 3 * 3


= 9


Since, the product of a rational and an irrational is an irrational number.


Therefore, 9 is an irrational;


3 is an irrational number


(iii) We have,


=


= 1.2


Every terminating decimal is a rational number, so 1.2 is a rational number.


(iv) we have,


= =


=


Quotient of a rational and an irrational number is irrational number. Therefore, it is an irrational number.


(v) - = -


= - 8 = -8/1


AS it can be expressed in the form of , so it is a rational number.


(vi) = 10 =


Thus it can be expressed in the form of , so it is a rational number.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
The Curious Case of Irrational NumbersThe Curious Case of Irrational NumbersThe Curious Case of Irrational Numbers43 mins
Bonus Questions on RationalizationBonus Questions on RationalizationBonus Questions on Rationalization47 mins
Quiz | Rationalizing the DenominatorQuiz | Rationalizing the DenominatorQuiz | Rationalizing the Denominator39 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
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
RD Sharma | Master The Number SystemRD Sharma | Master The Number SystemRD Sharma | Master The Number System40 mins
Quiz on Irrational NumbersQuiz on Irrational NumbersQuiz on Irrational Numbers31 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
RELATED QUESTIONS :

The number expressed as a vulgar fraction is

RS Aggarwal & V Aggarwal - Mathematics

The simplest form of

RS Aggarwal & V Aggarwal - Mathematics

28. The simplest form of is

RS Aggarwal & V Aggarwal - Mathematics

The simplest form of

RS Aggarwal & V Aggarwal - Mathematics

The simplest form of

RS Aggarwal & V Aggarwal - Mathematics