Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers:
(i) 
(ii) 3
(iii) 
(iv) 
(v) 
(vi) 
(i) 
= 2 = 
can be written in the form of 
, so it is a rational number.
Its decimal expansion is 2.0
(ii) 3
= 3 
= 3 * 3
= 9
Since, the product of a rational and an irrational is an irrational number.
Therefore, 9
is an irrational;
3
is an irrational number
(iii) We have,
= 
Every terminating decimal is a rational number, so 1.2 is a rational number.
(iv) we have,
= 
= 
= 
Quotient of a rational and an irrational number is irrational number. Therefore, it is an irrational number.
(v) - 
= - 
= - 8 = -8/1
AS it can be expressed in the form of 
, so it is a rational number.
(vi) 
= 10 = 
Thus it can be expressed in the form of 
, so it is a rational number.