RATIONAL NUMBERS

All numbers of the type p/q where p and q are integer and q ≠0, are known as rational. Thus 

it can be noticed that every integer is a rational number it may be defines as p/1. As like are 1/3, - 4/9 and 57

The rational numbers are similarly the real numbers with decimal expansions that are either

  Terminating (finishing in an infinite string of zeros), for example 3/4 = .75000... = .75                        or

 Non-ermating Repeating (finishing with a block of digits that repeats over and over).

For example 23/11 = 2.090909... = 2.09. The bar defines the block of repeating digits.

IRRATIONAL NUMBERS

Real numbers that are not rational are known as irrational numbers. They are accurately the real numbers with decimal expansions that are non-repeating non-terminating.