Question

Define (i) rational numbers (ii) irrational numbers (iii) real numbers.

Answer 1

Rational numbers: The numbers of the form $\frac{p}{q}$ where $p,q$ are integers and $q$ ≠ 0 are called rational numbers.
Example: $\frac{2}{3}$
Irrational numbers: The numbers which when expressed in decimal form are expressible as non-terminating and non-repeating decimals are called irrational numbers.
Example: $\sqrt{2}$
Real numbers: The numbers which are positive or negative, whole numbers or decimal numbers and rational number or irrational number are called real numbers.
Example: 2, $\frac{1}{3}$, $\sqrt{2}$, −3 etc.