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# Is Pi rational?

**Pi is not a rational number.** It is considered irrational. A rational number is able to be written as a fraction with integers for both the numerator and denominator.

In some rational numbers, when the numerator is divided by the denominator, the result has a decimal component that repeats. For instance, 2/3 is a rational number that is also written 0.666..., which indicates the infinite repetition. However, pi never repeats.

Archimedes, a mathematician from ancient Greece, calculated pi to between 3.141 and 3.143. By 1400, mathematicians in India had traced pi to 11 digits. As of 2013, pi has been calculated to 10 trillion digits with no repetition. Pi is often written as 3.14 or 22/7, but these are just approximations.

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Q:
## Why does pi not have units?

A: Pi does not have units because it is a number, not a measurement. However, pi is sometimes treated like a unit when referring to angle measurements because... Full Answer >Filed Under: -
Q:
## Why is pi important in math?

A: Pi is important in math because it describes how the circumference of a circle is in proportion to the diameter of a circle. To get pi, a mathematician div... Full Answer >Filed Under: -
Q:
## What contributions did Aryabhata make to math and science?

A: Aryabhata was an ancient Indian philosopher and astronomer who made a wide variety of contributions, including approximating the value of Pi, asserting tha... Full Answer >Filed Under: -
Q:
## What is pi?

A: Pi is the ratio of a circle's circumference to its diameter. The number pi, symbolized by a Greek letter, has a constant value that approximately equals 3.... Full Answer >Filed Under: