8) Decide whether the following are terminating or recurring decimals with a good explanation behind your decision.

i) 4/64 = 0.625 and it ends there so therefore it is TERMINATING

 

ii) We are given, 
             3/70 = 0.04285714285...
= 3/10*7 = 3/2*5*7

Clearly, Denominator has one more factor other than 2 and 5,
Therefore it has RECURRING DECIMALS

explanation for i)

 

4/64 simplifies to 1/16

 

16 only has factors of 2 (5 would not change either)

 

therefore, it is terminating.