In math, the real numbers contains both rational numbers and irrational numbers.
The rational number is in the form of [tex]\frac{5}{3}[/tex], [tex]\frac{-23}{40}[/tex]. And the irrational numbers like pi, square root of two, any number in decimal representation like 2.4873.... where the digit is continuing in the way. Real number may be infinity long number line.
A real number may be rational or irrational number, either algebraic, positive number, negative number, or zero.
Learn more about
Properties of Real Numbers