Look at several examples of rational number 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. Can you guess what property q must satisfy ?

Any number which can be represented in the form of p/q where q is greater than 0 is called a rational number. The real numbers which cannot be expressed in the form of p/q, where p and q are integers and q ≠ 0 are known as irrational numbers.

q must satisfy the condition that if prime factors of q are 2,5 or their product then the rational numbers always have a terminating decimal expansion.

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