Question

Can 100 rational numbers be inserted between 1 and 101

Answer 1

Yes, they can. Rational numbers are also decimals (for example) so we can put an infinite amount of numbers between any 2 values, for example:

1,1
1,11
1,111
1,1111
2
5,328
5,3281
5,3282
50
90,01
90,011

etc.