Question

The no. Of Positive integers n in the set {2,3,.....200} such that 1/n has terminating decimal expansion is ..

Answer 1

⇒As we know 1/n is terminating in the set of positive integers ranging from {2,3,.....200} if ,

n is of the form $2^{p}  \text { or} 5^{q} \text { or} 2^{p}\times5^{q}$.

So out of {2,3,.....200}, the number of the form,$2^{p}  \text { or} 5^{q} \text { or} 2^{p}\times5^{q}$ are 2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,128,160,200.

Total number of numbers which are terminating in the set are {2,3,.....200}=18

Answer 2

Answer:18

Step-by-step explanation: