Recurring Decimal Representations
Some real numbers have decimal expansions that eventually get into loops, endlessly repeating a sequence of one or more digits:
- 1/3 = 0.33333...
- 1/7 = 0.142857142857...
- 1318/185 = 7.1243243243...
Every time this happens the number is still a rational number (i.e. can alternatively be represented as a ratio of an integer and a positive integer).
Read more about this topic: Decimal Representation
Famous quotes containing the words recurring and/or decimal:
“Let us think this thought in its most terrible form: existence as it is, without meaning or aim, and yet recurring inevitably, without a finale in nothingness—”eternal recurrence.””
—Friedrich Nietzsche (1844–1900)
“It makes little sense to spend a month teaching decimal fractions to fourth-grade pupils when they can be taught in a week, and better understood and retained, by sixth-grade students. Child-centeredness does not mean lack of rigor or standards; it does mean finding the best match between curricula and children’s developing interests and abilities.”
—David Elkind (20th century)