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Everything about Repeating decimal
Decimal representation of a number whose digits are periodic
A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic ; if this sequence consists only of zeros, the decimal is said to be terminating, and is not considered as repeating. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Repeating decimalA 5-minute orientation
- Skim a recent paper: String art with repeating decimalsInfluential work since 2022
- Pick up a classic book: Data Communications and NetworkingThe most-reprinted book on the subject
- Read the landmark paper: Patterns of Repeating Decimals: A Subject Worth RepeatingCited 1 times
- Go sideways: Decimal representationA closely related topic
- Go sideways: Transposable integerA closely related topic
📖 Definitions
Noun A decimal representation of a real number that, at some point, becomes periodic (and repeats some sequence of digits infinitely)
🗂️ The subject at a glance
- Background
- Fractions with prime denominators
- Reciprocals of composite integers coprime to 10
- Reciprocals of integers not coprime to 10
- Converting repeating decimals to fractions
- Repeating decimals as infinite series
- Multiplication and cyclic permutation
- Other properties of repetend lengths
- Extension to other bases
🏆 Landmark papers (most cited)
Patterns of Repeating Decimals: A Subject Worth Repeating
Rapid Repeating Decimal-Fraction Interchange
The Length of the Repeating Decimal
Analysis on the Repeating Portion of Decimal Representation of the Rational Numbers
A Study on Middle School Students’ Perceptions of Repeating Decimal Representations of Rational Numbers
Repeating Decimals
🆕 Influential since 2022
📚 Books worth reading
Data Communications and NetworkingBehrouz A. Forouzan, Catherine Ann Coombs · 2000
Word 2010 for DummiesDan Gookin, Judith Muhr · 2010
Reminiscences of a RangerHorace Bell · 1881
Saxon Math 8/7Stephen Hake · 2003
The Conspirators HierarchyJohn Coleman · 1992
You Can Do MathSunil Tanna · 2014
Everyday math demystifiedStan Gibilisco · 2004
Discrete mathematics for computer scienceGary Haggard · 2006
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Reciprocals of primes The reciprocals of prime numbers have been of interest to mathematicians for various reasons. They do not have a finite sum, as Leonhard Euler proved in…
- 142857 142,857 is the natural number following 142,856 and preceding 142,858. It is both a Kaprekar number and a cyclic number. 142857 is the best-known cyclic…
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