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

Question

Give two rational numbers lying between 0.232332333233332&#x2026;. and 0.212112111211112.

Philoid · Accepted Answer

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.