KnowraDecimal expansionLinked fromLinked fromThe 10 pages that link to Decimal expansion, each with the reason it gives.All 10Broader topic 1Related 6Narrower topic 1Compared with 2Irrational numberRelated: An irrational number's decimal digits neither terminate nor repeat periodically.Continued fractionCompared with: Decimals use positional digits, while continued fractions encode successive divisions.Cantor's diagonal argumentRelated: Ambiguous expansions such as 0.4999… and 0.5000… require care in digit-changing versions.Decimal systemRelated: Its digits specify successive tenths, hundredths, and smaller fractions.Long divisionBroader topic: Appending zeros lets the algorithm continue when a remainder remains.Monotone sequenceRelated: Truncations of a nonnegative decimal expansion form a nondecreasing sequence approaching its value.Lowest termsCompared with: Decimal notation may look simple without expressing whether a fractional form has common factors.Repeating decimalNarrower topic: Repeating decimals are the periodic, nonterminating cases of decimal expansion.Lochs's theoremRelated: The theorem asks how much continued-fraction information a finite decimal prefix determines.Proof that π is irrationalRelated: A real number is irrational exactly when its decimal expansion neither terminates nor repeats eventually.