Question

can we insert hundred rational numbers between 2 and 7 . if yes, why ?

Answer 1

Of course yes as there are infinite rational numbers between two rational numbers .
If you want to test it , just take all possible denominators and you will get infinite numbers in between.....
Hope it helped....

Answer 2

Yes there are infinite no. between any two numbers as we can write them in decimals as 2.1 , 2.11 , 2.22 ,2.345 & so on