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Is pi a rational or irrational number?

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Pi(π) is a mathematical constant represented by Greek Letter π. Pi is defined as the constant that is equal to the ratio of the circumference of a circle to its diameter. There are two values of pi that we use often, the first is 22/7 and the second is 3.14. The question of whether Is Pi a Rational or Irrational Number always arises in the minds of students and creates confusion. Hence, let’s get the answer to this question and understand the explanation of it.

Pi is Rational or Irrational?

Pi(π) is an Irrational Number

Let’s Understand,

Why Pi is an Irrational Number?

Pi is a mathematical constant that is given as the ratio of the circumference of a circle to the diameter of the circle. Pi is represented by the Greek letter π. The approximate value of Pi is 3.14159263539… which is a non-terminating and non-repeating decimal expansion and we know that the non-terminating and non-repeating decimal is an Irrational Number. Hence, Pi is an irrational number.

What are Irrational Numbers?

Irrational numbers are a set of numbers that cannot be expressed in fractions or ratios of integers. it can be written in decimals and has endless non-repeating digits after the decimal point.

Irrational numbers cannot be  expressed in the form of p/q, where q ≠0.

The decimal Expansion of an irrational number is non-terminating and non-repeating. For example 0.1211212111122… is an irrational number that is non-terminating.

Also, Check

FAQs

1. Is π a Rational or Rrrational Number?

π is a mathematical expression whose approximate value is 3.14159265… The given value of π is expressed in decimal which is non-terminating and non-repeating. Hence, π is not a rational number. It’s an irrational number.

2. Why is Pi an Irrational Number?

Pi is an irrational number because its decimal expansion 3.14159265… is a non-terminating and non-repeating.

3. Is Pi(π) a Rational Number?

No, Pi(π) is not a rational Number.

4. Why is 22/7 Rational and Pi is Irrational?

22/7 is rational because it is in the form of p/q where p and q are integers and q ≠ 0 while the value of pi is a non-terminating and non-repeating, hence pi is irrational.

5. Is 22.7 a Rational Number?

22.7 can be written infraction form as 227/10 which is in the form of p/q and q is not equal to zero. Hence, 22.7 is a rational number.

6. 0 is a Rational Number, How?

0 is also included in rational number as it has a non-zero denominator. If we express 0 in the form of p/q

0 = 0/1

7: Is 0.5 a Rational Number?

0.5 can be written infraction form as 1/2 which is in the form of p/q and q is not equal to zero. Hence, 0.5 is a rational number.

8. Is 33.5 a Rational Number?

33.5 can be written infraction form as 335/10 which is in the form of p/q and q is not equal to zero. Hence, 33.5 is a rational number.


Last Updated : 19 Dec, 2023
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