Find two irrational numbers between 0.5 and 0.55.

Given: 

Given rational numbers are 0.5 and 0.55.

To do: 

We have to find two irrational numbers between the given numbers.

Solution:

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.

We can insert infinite irrational numbers between two rational numbers.

Therefore,

$0.5010010001…., 0.5212212221….$ are less than $0.55$ and greater than $0.5$.

Two irrational numbers between the rational numbers $0.5$ and $0.55$ are $0.5010010001....$ and $0.5212212221…$. 

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Updated on: 10-Oct-2022

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