Number Systems
 Irrational Numbers
 Irrational numbers are those which cannot be expressed in the form , where p, q are integers and q ≠ 0.
Example: are irrational numbers.

 Irrational numbers are the numbers which neither terminate nor repeat.
Example: or as 3.14, both of which are rationals.
 Decimal expansion of a rational number can be of two types:
(i) Terminating
(ii) Nonterminating and repetitive
In order to find decimal expansion of rational numbers we use long division method.
For example, to find the decimal expansion of .
We perform the long division of 1237 by 25.
Hence, the decimal expansion of is 49.48. Since the remainder is obtained as zero, the decimal number is terminating.

…
To view the complete topic, please