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