Between a rational and a irrational

1. Nov 3, 2008

nerdy_time

Hello.
Between a rational and a irrational is there a rational? and a irrational? and vice-versa?
I know that between 2 rationals there is a rational and a irrational and that between 2 irrationals there is a rational and a irrational, but i cannot figure this out... please help.
Thanks.

2. Nov 3, 2008

slider142

Let I be the irrational number and r be the rational number. If I > r, consider the number d = I - r.

3. Nov 3, 2008

tim_lou

between any two unequal number there is a rational and irrational number. It's easiest to see this in decimal representation.