Question

without actually performing the long division method, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating expansion. i) 15/1600,ii) 13/3125,iii) 23/8×25,iv) 17/6,v) 35/50, vi) 7/80.

Answer 1

i)=denominator1600=2×2...×5×5 so it is a terminating .ii)