Question

Give two rational numbers lying between 0.515115111511115... and 0.535335333533335...

Answer 1

Let a = 0.515115111511115... and b = 0.535335333533335...

Here the decimal representation of a and b are non-terminating and non-repeating. So we observe that in first decimal place a and b have the same digit 5 but digit in the second place of their decimal representation are distinct. And the number a has 1 and b has 3. So a < b.

Hence two rational numbers are 0.5152, 0.532 lying between 0.515115111511115... and 0.535335333533335...