Without doing any actual division find which of the following rational numbers having terminating decimal representations :-

7/16

Asked by www.anujagawal | 23rd Mar, 2020, 06:29: PM

Expert Answer:

begin mathsize 16px style 7 over 16 equals 7 over 2 to the power of 4 end style
Since, the prime factorisation of the denominator 16 is of the form 2n 5m , here m = 4 and n = 0.
 
Therefore, the decimal expansion the the rational number 7/16 i terminating.

Answered by Yasmeen Khan | 23rd Mar, 2020, 07:31: PM