Q. 14.2( 444 Votes )

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Answer :

Decimal Expansion which ends after the division is called terminating expansion. And when a fraction is divided such that the value repeats itself, it is a recurring expansion. When the expansion never ends it is called non terminating expansion.

For example: 0.2342516782943257 is neither repeating nor terminating expansion.


(i)  = 0.36 

(Since, decimal expansion has finite no. of figures. Hence, it is terminating).

(ii)  = 0.09090909….


        =          

(Since decimal expansion repeats itself so it is a non-terminating recurring decimal expansion).


(iii)


= 4.125   

(Since, decimal expansion has finite no. of figures. Hence, it is terminating).


(iv) = 0.230769230769


              =  

(Since decimal expansion repeats itself so it is a non-terminating recurring decimal expansion).

(v) = 0.1818181818….


              =
(Since decimal expansion repeats itself so it is a non-terminating recurring decimal expansion)


(vi) = 0.8225 


(Since, decimal expansion has finite no. of figures. Hence, it is terminating.)

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