| BASIS OF COMPARISON |
RATIONAL NUMBERS |
IRRATIONAL NUMBERS |
| Description |
The numbers that can be expressed as a ratio of two numbers i.e in the form of c/q are referred to as rational numbers. |
Numbers that cannot be expressed as ratio of two numbers i.e in the form of c/q are referred to as Irrational numbers. |
| Nature Of Numbers |
Rational numbers includes numbers which are finite or are recurring in nature. |
These consist of numbers which are non-terminating and non-repeating in nature. |
| Consist Of |
Rational numbers consists of numbers that are perfect squares such as 4, 9, 16 25 etc. |
The irrational numbers includes surds such as √2, √3, √5, √7 and so on. |
| Representation |
Both numerator and denominator of rational numbers are whole numbers, in which the denominator of rational numbers is not equivalent to zero. |
Irrational numbers cannot be represented in fractional form. |
| Examples |
5/3= 1.66, 1/7 =0.1428, 8/6=1.33 |
√7, √17, √5, √9 |
