**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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