What is pi – 22 ⁄ 7?
Let us find out, if π (pi) is a rational or an irrational number.
A number which can be expressed in the form of a fraction is called a rational number, where the denominator is not equal to zero.
A number which cannot be expressed in the form of a fraction is called an irrational number, where the denominator is not equal to zero.
Therefore, π is an irrational number because it cannot be expressed in the fraction of two integers. It has no accurate decimal value. π has a non-terminating and non-repeating decimal expansion and the value of π is 3.14……..
And,
22 ⁄ 7 is a rational number (∵ the number is expressed in the form of a fraction, and denominator ≠0)
Properties of irrational numbers
- Irrational numbers have non-terminating and non-repeating decimal representation
- The sum or difference of two irrational numbers can be a rational or an irrational number
- The sum or difference of a rational and an irrational number is an irrational number
- Product of two irrational numbers can be rational or an irrational number
- Product of a rational and an irrational number is an irrational number
As per the properties of irrational numbers,
the sum or difference of a rational and an irrational number is an irrational number.
∴ π – 22 ⁄ 7 = An irrational number.
– Joys I
