Question

Am iright if I say only 100 rational numbers can be interested between 1 and 101?

Answer 1

No. Because there are infinite rational numbers between two rational numbers.For eg.
2 rational numbers are 1 and 100.
  1 rational nmber between them could be
   1/2(1+100)
=101/2
=50.5
2nd irrational no.
1/2(1+50.5)
=51.5/2
therefore infinite nos. could be added between two given numbers

Answer 2

No u r not . There r infinite rational nos btw 1n 101