Difference between Rational and Irrational Number

Rational numbers are numbers that can be expressed as a ratio of two integers. They can be in fraction, decimal or Whole Number from. Example of rational number:- 1/2, 3/4 , -7/2, 8/1. On the other side, irrational numbers are those numbers that cannot be expressed as a ratio of two integers. Example of irrational number: - √2, π, 5/0. Apart from definition, there are some other differences also, which are given as:

(1) Rational numbers are all positive and negative fraction, including integer and improper fraction. An irrational number is a real number that cannot be written as a simple fraction.

(2) Rational number can be expressed as the ratio of two integers. An irrational number is any real number that is not rational.

(3) Rational numbers are numbers that can be expressed as a fraction. An irrational number can be written as a decimal not as a fractional.

(4) Rational number can be expressed as a ratio of whole number. An irrational number is one that cannot be expressed in such a form.

(5) Rational number can be expressed as a form s/t where s and t are real number and t is not equal to zero. An irrational number .An irrational number cannot be expressed in this form.

(6) Rational number is a namable number .The set of all rational number is referred to as the all “rationales “. An irrational number is not a namable number.