- 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:
(ii) Non-terminating 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.
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