Using the above theorems,without actual division,state whether decimal form of the following rational numbers are terminating or non-terminating,repeating decimals. 1)16/125 ,2)25/32 ,3)100/81,4)41/75?

Question

Answer

We know that p/q is terminating if p and q are co-prime and q is of the form 2^m.5^n
where m and n are non-negative integers.
follow this criteria .
option 1st and option 2nd are terminating
while option option 3rd and 4th are non-terminating

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