Question

Is pi a rational, irrational number, natural, whole or integer?

Answer 1

Hint: The natural numbers are those numbers which are all the positive numbers in the number system except the number$0$, the numbers which are positive and include $0$are said to be as the whole numbers, the integers are the numbers which are positive as well as negative. The rational numbers on the other hand are the numbers that can be expressed as the fraction with a non-zero denominator, also the number should be finite, and the irrational numbers however cannot be expressed as a fraction. The pi also denoted by the Greek letter$\pi $, is the ratio between the circumferences of a circle to its diameter.

Complete step-by-step answer:
The pi is the ratio between the circumferences of the circle to its diameter. It is a number which is not yet completely known to be finite, its values has been calculated to billions of points after decimal yet its end is not yet found, it therefore is believed to be infinite, the number is ,
$\pi = 3.141592.........$
Thus it is infinite, since it has a decimal it cannot be whole, natural or an integers, it can also not be a rational number because it is believed to be an infinite number and rational numbers are said to be infinite. The number pi is therefore an irrational number.

Note: Observant students can now ask how is the value of $\pi $not rational when we can express it as $\dfrac{{22}}{7}$which is a rational number, but this fraction is not the exact value of pi it gives only the correct value for the two digit after decimal which although good enough for calculation is not rigorous in mathematical terms. Hence pi is irrational rather than rational.