Question

write the condition for a rational number which can have a terminating decimal expansion

Answer 1

if any rational number have to be terminating decimal expansion ,then its denominator is of the form of 2n5m { 2 to the power n or 5 to the power m}

exmaples:- 23/200 =23/2×2×2×5×5=0.115

now here we see that the denominator is of the form 2 to the power 3× 5 to the power 2.so it terminating decimal expansion

Answer 2

the denominator must of the form2power m or 5power n or 2power m ×5power n