Question

Give two rational numbers lying between 0.232332333233332…. and 0.212112111211112.

Answer 1

Let a = 0.212112111211112 

And, b = 0.232332333233332…. 

Clearly a < b because in the second decimal place a has digit 1 and b has digit 3 

If we consider rational numbers in which decimal place has the digit 2, then they will lie between a and b 

Let, 

x = 0.22 

y = 0.22112211… 

Then, 

a < x < y < b 

Hence, x and y are required rational numbers.