Find three rational numbers lying between 0 and 0.1. Find twenty rationalnumbers between 0 and 0.1. Give a method to determine any number ofrational numbers between 0 and 0.1.

To determine any number of rational numbers between 0 and 0.1 insert 0 after the decimal and any digit between 1-9 after that.

Insert 0 after decimal and then 1 =0.01

Insert 0 after decimal and then 5 =0.05

Insert 0 after decimal and then 9 =0.09

The three rational numbers lying between 0 and 0.1 are-

0.01, 0.05, 0.09.

Insert double zero after decimal and then 1 = 0.001

and further appending numbers between in sequence i.e. 0.002,0.003,0.004,0.005,0.006 ……

The twenty rational numbers between 0 and 0.1 are-

0.001                0.002                0.003                0.004        0.005

0.006                0.007                0.008                0.009        0.010

0.011                0.012                0.013                0.014        0.015

0.016                0.017                0.018                0.019        0.020