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,


=


= 1.2


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.


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