Question
Define:
  1. Rational numbers.
  2. Irrational numbers.
  3. Real numbers.

Answer

  1. Rational numbers: The numbers of the form $\frac{\text{p}}{\text{q}}$ where p , q are integers and $\text{q}\neq0$ are called rational numbers.
Example: $\frac{2}{3}$
  1. Irrational numbers: The numbers which when expressed in decimal form are expressible as non-terminating and non-repeating decimals are called irrational numbers.
Example: $\sqrt{2}$
  1. 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.

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