Question

Describe the difference between a rational and irrational number and give an example of each

Answer 1

Rational number:

The rational numbers are the number that can expressed in from of a ratio that mean from is:

`\begin{gathered} (p)/(q) \\ \text{and q}\\e0 \end{gathered}`

Irrational number:

The irrational number cannot be expressed as a fraction .

But the both number is real number and its represent the number line.

Difference is:

Rational number are finite and repeating decimal whereas irrational are infinite and non-repeating.

Examples :

Rational number

`(5)/(4),(1)/(100)\text{ etc.}`

Irrational number

`\sqrt[]{2},\sqrt[]{3},\pi\text{ (pi)}`