20. TBQ - Predict the type of decimal expansion

Without performing division, determine whether the decimal expansion of \(\frac{14}{78125}\) is terminating or non-terminating. If it terminates, state the number of decimal places.

 

 

The prime factors of \(78125\) is $i^i$.

 

The decimal expansion of \(\frac{14}{78125}\) is terminatingnon-terminating.

 

The number of decimal places equals the highest power of needed in the denominator.

 

The decimal expansion terminates after decimal places.