Find two rational and two irrational number between 0.5 and 0.55.

Question:

Find two rational and two irrational number between 0.5 and 0.55.

Solution:

The two rational numbers between 0.5 and 0.55 are: 0.51 and 0.52

The two irrational numbers between 0.5 and 0.55 are: 0.505005000... and 0.5101100111000...

Disclaimer: There are infinite number of rational and irrational numbers between 0.5 and 0.55.