Free TExES Mathematics 7-12 (235) Flashcards

The terminating and the repeating expansions both belong to rational numbers, because each can be written as a ratio of integers, such as 0.5 = 1/2 and 0.2727... = 3/11. The expansion that neither ends nor repeats belongs to an irrational number, since long division by an integer denominator must eventually repeat a remainder and so produces a repeating or terminating pattern.