Student: Shiva N

Q. I want to know Pi (22/7) is a rational or irrational number and why?


Answer :

Hi Shiva,
Good Question. 
Simply saying π (Pi) is not a rational number. It is an irrational number indeed.

Here is the explanation :

Topic: Algebra, Rational / Irrational Numbers
Concept : Rational numbers are those which can be represented as ratio of two integers (denominator not equal to zero).

Method : The simple way of identifying irrational numbers is : They have non-terminating and non-recurring decimals.
π can not be represented as fraction accurately.

The value of p is 3.14159265358979323846264338327950288419716939937510.........which is non terminating as well as non-recurring decimals.


Hence π is an irrational number. It is represented commonly as 22/7 as an approximate value for easy calculation purpose.
Examples : Other common examples of irrational numbers are  √2,  √3,  e(exponential) etc.
 

Shiva, Hope it was helpful. If you have further queries let us know.

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