Class 9 Math All topics Number Systems

Find three different irrational numbers between the rational numbers $75 $ and $119 $.

Solution: $75 =0.714285714285...=0.714285$

and $119 =0.8181...=0.81$.

Here, the two decimal expansions are non-terminating recurring.

Hence, $75 $ and $119 $ are two rational numbers.

We know, between any two rational numbers, there are infinitely many irrational numbers.

An irrational number has non-terminating non-recurring decimal expansions.

Then three different irrational number between $75 $ and $119 $ can be:

$0.750750075000075...$

$0.767076700767...$

$0.808008000800008...$

NOTE:

This is three of the various possible answers. It might have different solution.

Similar topics

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

surface areas and volumes

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

surface areas and volumes

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