Question

Explain with an example how irrational numbers differ from rational numbers?

Answer 1

A rational number is any number that can be expressed as the quotient or

fraction $\frac{p}{q}$ of two integers, a numerator $p$ and a non-

zero denominator $q$. Some of the examples of rational numbers are: $-\frac{3}{11},\frac{1}{2},\frac{5}{3}$

On the other hand, an irrational number is a number that can not be

expressed as the quotient or fraction $\frac{p}{q}$ of two integers, a

numerator $p$ and a non-zero denominator $q$. Some of the examples of irrational numbers are as follows:

$\frac{4}{0}$ as the denominator is not non-zero.

$\pi =\mathrm{3.141592....}$ and

$\sqrt{2}=\mathrm{1.414....}$