CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

There are infinitely many rational numbers between any two rational numbers 



A

True

loader
B

False

loader

Solution

The correct option is A

True


The statement is True.

Consider the rational numbers 3 and 5

we have 31 and  51  where 31 <   51 

31<3+51+1<51  =  31<41<51

31<3+41+1<41  <  4+51+1<51<51

3 <  72<4<92<5  i.e    3 <  312<4<412<5

Also every terminating and non -terminating recurring decimal number between 3 and 5 is a rational number 

For example (i) 3.2 <  3.85  < 4.3


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image