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Question

Answers

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

Answer

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Given numbers

0.232332333233332….. and 0.212112111211112…..

As we all know that irrational numbers are non – terminating and non – recurring decimals i.e. it cannot written in the form of $\dfrac{p}{q}$, where $q \ne 0$and p and q has not any common factors except 1.

So the given numbers are irrational numbers so it cannot be written in the form of $\dfrac{p}{q}$, where $q \ne 0$.

Now we have to find out the two rational numbers between the given numbers.

As we all know between these two irrational numbers there are infinitely many numbers possible some are rational numbers and some are irrational numbers.

So 0.221 and 0.222 is greater than 0.212112111211112…. and less than 0.232332333233332…. so rational numbers 0.221 and 0.222 are lying between them as shown in the below number line.

Hence 0.221 and 0.222 are lying between the given irrational numbers.