Question

write the condition to be satisfied by q so that a rational no. p/q has a terminating decimal expansion​

Answer 1

Answer:

The condition to be satisfied by q is that it must be in the form of ${2}^{m} \times {5}^{n}$ where my and n are non - negative integers.

The q must be the prime factor of 2 and 5 both.

Step-by-step explanation:

Let P/q be a rational number such that q is in the form of ${2}^{m} \times {5}^{n}$ then the decimal expansion of rational number is terminating.