Q. 34.1( 41 Votes )

Find a rational number lying between

(i) 1/4 and 1/3 (ii) 3/8 and 2/5

(iii) 1.3 and 1.4 (iv) 0.75 and 1.2

(v) -1 1/2 (vi) - 3/4 and - 2/5

Answer :

(i)


Let suppose,



As we can see that a ˂ b


So, the rational number lying between a and b






So, we can say that is a rational number lying between 1/4 and 1/3.


(ii)


Let’s take


As we can see a˂b


A rational number lying between






is the number lying between


(iii) 1.3 and 1.4


By taking a = 1.3 and b = 1.4


As we can see a ˂ b


The rational number between a and b,






1.35 is the number lying between 1.3 and 1.4


(iv) 0.75 and 1.2


Let’s take a = 0.75 and b = 1.2


As we can see a˂b,


The rational number between a and b,






0.975 is the number between 0.75 and 1.2


(v)


Let’s take


The rational number between a and b,





is the number between -1 and


(vi)


Let’s take


The rational number between a and b,







So, the rational number between

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Number SystemsChamp Quiz | Number SystemsChamp Quiz | Number Systems43 mins
Genius Quiz | Number SeriesGenius Quiz | Number SeriesGenius Quiz | Number Series24 mins
Simplification of Expressions and Finding their Values Using Laws of ExponentsSimplification of Expressions and Finding their Values Using Laws of ExponentsSimplification of Expressions and Finding their Values Using Laws of Exponents38 mins
Score more on Number lineScore more on Number lineScore more on Number line44 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
The Curious Case of Irrational NumbersThe Curious Case of Irrational NumbersThe Curious Case of Irrational Numbers43 mins
Doubts & Quiz - Simplification of Expressions and Laws of ExponentsDoubts & Quiz - Simplification of Expressions and Laws of ExponentsDoubts & Quiz - Simplification of Expressions and Laws of Exponents41 mins
Bonus Questions on RationalizationBonus Questions on RationalizationBonus Questions on Rationalization47 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