Question

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

Enter 1 if the answer is 0.221, 0.222 otherwise enter 0.

Answer 1

Here, we need to find two rational numbers lying between $0.232332333...$ and $0.21211211121111$.

we know that,

Irrational Numbers are non - terminating and non - recurring decimals.

So, Those two given numbers are irrational Numbers.

Here, these two numbers lie in between $0.21$ and $0.233$

On number line $\to$

REF. IMAGE

We can clearly say that $0.22$ lie in between them and so $0.221$ and $0.222$.

Actually between any two real numbers, there are infinetly many numbers. And Rational numbers can be a terminating decimal.

So,

$0.221$ and $0.222$ are two rational numbers in between the given irrational Numbers.