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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.


Solution

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 $$\rightarrow $$ 
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.

Mathematics

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