Given two rational numbers lying between $0.232332333233332…$ and $0.212112111211112......$.

Given:

Given numbers are $0.232332333233332…$ and $0.212112111211112......$.

To do:

We have to find two rational numbers lying between $0.232332333233332…$ and $0.212112111211112......$.

Solution: â€Š

A rational number can be expressed in either terminating decimal or non-terminating recurring decimals and an irrational number is expressed in non-terminating non-recurring decimals.

This implies,

$0.232332333233332…$ and $0.212112111211112......$ are irrational numbers.

We can insert infinite rational numbers between two irrational numbers.

Therefore,

$0.213$ and $0.214$ are greater than $0.212112111211112….$ and less than $0.232332333233332….$

Therefore, two rational numbers lying between $0.232332333233332…$ and $0.212112111211112......$ are $0.213$ and $0.214$.

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Updated on: 10-Oct-2022

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