# Is pi a rational or irrational number?

Pi(Ï€) is a mathematical constant represented by Greek Letter Ï€. 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(Ï€) 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 Ï€. 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 â‰ 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.

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## FAQs

### 1. Is Ï€ a Rational or Rrrational Number?

Ï€ is a mathematical expression whose approximate value is 3.14159265… The given value of Ï€ is expressed in decimal which is non-terminating and non-repeating. Hence, Ï€ 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(Ï€) a Rational Number?

No, Pi(Ï€) 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 â‰  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.

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