Without actually performing the long division, state whether the following number will have a terminating decimal or a non-terminating repeating decimal expression.

(i)

(ii)

(iii)

 

Asked by Topperlearning User | 12th Dec, 2013, 09:33: AM

Expert Answer:

(i)                 

         Here, the denominator is of the form.  Hence it is a terminating decimal.                                

(ii)               

          Here the denominator is of the form .  So, it is non-terminating repeating decimal.       

(iii)        

          Here, the factors in the denominator are other than 2 and 5, hence it is also non-terminating repeating decimal 

Answered by  | 12th Dec, 2013, 11:33: AM