Integer to Roman
Convert decimal numbers to Roman Numerals. Useful for dates, copyrights, and stylistic numbering.
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Applications of Roman Numerals
Roman numerals appear everywhere — from movie copyright dates (MMXXIV) and book preface pages to clock faces, Super Bowl numbering, monarch names (Elizabeth II), and outline hierarchies. Architects use them on cornerstone dates, chemists append them to oxidation state names (Iron(III) chloride), and watchmakers engrave them on luxury timepiece dials. Even the modern gaming industry uses Roman numerals for sequel numbering (Final Fantasy VII, Grand Theft Auto VI).
How Roman Numerals Work (Subtractive Notation)
Roman numerals use seven symbols: I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). Numbers are formed by combining these symbols from largest to smallest. The subtractive principle avoids four-in-a-row repetition: instead of IIII, write IV (5 − 1 = 4). Key subtractive pairs are IV (4), IX (9), XL (40), XC (90), CD (400), and CM (900). Only powers of ten (I, X, C, M) can be subtracted — subtractors are limited to I before V/X, X before L/C, and C before D/M. This limits the maximum representable number to 3999 (MMMCMXCIX), because 4000 would require MMMM, which violates the no-four-in-a-row rule.
Fun Fact: The largest number that can be written in standard Roman numerals is 3999 (MMMCMXCIX). To represent larger numbers, medieval scribes used a vinculum (a bar above a numeral multiplies it by 1,000) — so V̅ = 5,000 and X̅ = 10,000. This extended system could represent millions!
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