Question

without actually performing division state whether the following rational numbers of will have terminating decimal expansion or not terminating 11 by 125​

Answer 1

Answer:

125=1×5×5×5

11=1×11

Explanation:

they are not terminating decimal because they have no common factor other than1

Answer 2

Explanation:

11/125

here is simplest form =

11/5³

and hence we note that it's denominator has a prime factorisation of the form 2m5n ,where m,n are non -negative integers .

therefore ,the given rational numbers 11/125 has a terminating decimal expansion