Write the conditions to be satisfied b q so that a rational number p/q has a terminating decimal

Write the conditions to be satisfied b q so that a rational number p/q

1.	Write the conditions to be satisfied b q so that a rational number p/q has a terminating decimal
Answer» Let {tex}x\\;=\\frac pq\\;{/tex} be the given rational number.The prime factorization of q must be of the form {tex}2 ^ { m } \\times 5 ^ { n }{/tex} , where m, n are nonnegative integers. Then x has a decimal expansion which terminates.