Question

# Define rational and irrational number. Give examples.

Decimals
Define rational and irrational number. Give examples.

2020-12-26
Rational Number: A number is said to be a rational number if we can write it as a fraction where the numerator of the fraction and denominator of the fraction both are whole numbers, denominator cannot equal to zero and also rational number has finite or recurring decimals.
Example are given below:
$$\frac{1}{9},\ 4=\frac{4}{1},\ \sqrt{9}=\ \pm\ 3$$
All numbers above are rational numbers.
Irrational Number: An irrational number is a number which is not a rational number. It is a number that cannot be written as a ratio of two integers or can’t be expressed as fraction form and irrational number has infinite or non-recurring decimals.
Examples are below:
$$\sqrt{2},\ \sqrt{3},\ 5 \sqrt{2},\ \pi,\ e.$$