Question 6 Look at several examples of rational numbers in the form p / q (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?

Question 6 Look at several examples of rational numbers in the form p / q (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy? 

Solution: If the denominator is product of 2 and 5 only then it will always give terminating number For example 7/2 = 0.35, 19/10 = 1.9, 12/5 = 2.5, 1/25 = 0.04, 1/ 4 = 0.25 and you can write such many examples.