Answer

Verified

397.2k+ views

**Hint:**In this particular question use the concept that rational number are terminating and recurring decimals whereas irrational numbers are non-terminating and non-recurring decimals and between two numbers there are infinitely many numbers are possible so use these concepts to reach the solution of the question.

__Complete step-by-step answer__: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.

**So according to the question we have to enter 1.**

**Note**: Whenever we face such types of questions the key concept we have to remember is that always recall that the rational numbers are written in the form of $\dfrac{p}{q}$, where $q \ne 0$ and irrational numbers cannot written in the form of $\dfrac{p}{q}$, where $q \ne 0$, where p and q has not any common factors except 1.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

What is BLO What is the full form of BLO class 8 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

The cell wall of prokaryotes are made up of a Cellulose class 9 biology CBSE

What organs are located on the left side of your body class 11 biology CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE