Give two rational numbers lying between $0.515115111511115…$ and $0.5353353335…$

Given:

Given numbers are $0.515115111511115…$ and $0.5353353335…$.

To do:

We have to find two rational numbers lying between $0.515115111511115…$ and $0.5353353335…$

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,

$0.515115111511115…$ and $0.5353353335…$ are irrational numbers.

We can insert infinite rational numbers between two irrational numbers.

Therefore,

$0.516$ and $0.517$ are greater than $0.515115111511115…$ and less than $0.5353353335…$

Therefore, two rational numbers lying between $0.515115111511115…$ and $0.5353353335…$ are $0.516$ and $0.517$. 

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Updated on: 10-Oct-2022

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