How Do Roman Numerals Work?
Roman numerals combine seven symbols to represent numbers. The basic rule is addition: symbols are placed left to right from largest to smallest, and you add their values. XVII = 10 + 5 + 1 + 1 = 17. The subtractive rule handles 4 and 9 patterns: when a smaller symbol appears before a larger one, you subtract it. IV = 5 − 1 = 4.
Maya Singh at Pinewood Falls High uses Roman numerals in her English class when writing essay outlines (I, II, III for major sections; A, B, C for subsections). She also encounters them on the cornerstone of the town library, which reads MCMXXVIII, which is 1928, the year it was built. Tom Brewer, a retired engineer who lives next door, taught her to decode it: M = 1000, CM = 900, XX = 20, VIII = 8.
Roman Numeral Reference Chart
| Number | Roman | Number | Roman |
|---|---|---|---|
| 1 | I | 20 | XX |
| 2 | II | 30 | XXX |
| 3 | III | 40 | XL |
| 4 | IV | 50 | L |
| 5 | V | 60 | LX |
| 6 | VI | 90 | XC |
| 7 | VII | 100 | C |
| 8 | VIII | 400 | CD |
| 9 | IX | 500 | D |
| 10 | X | 900 | CM |
| 11 | XI | 1,000 | M |
| 14 | XIV | 2,000 | MM |
| 15 | XV | 2,026 | MMXXVI |
| 19 | XIX | 3,999 | MMMCMXCIX |
Source: Standard Roman numeral notation
Subtractive Notation Rules
Subtractive notation avoids four consecutive identical symbols. The rules are precise:
| Subtraction | Roman | Value | Replaces |
|---|---|---|---|
| I before V | IV | 4 | IIII |
| I before X | IX | 9 | VIIII |
| X before L | XL | 40 | XXXX |
| X before C | XC | 90 | LXXXX |
| C before D | CD | 400 | CCCC |
| C before M | CM | 900 | DCCCC |
Source: Standard Roman numeral notation
Only I, X, and C can be used subtractively, and each can only precede the next two larger symbols. You cannot write IC for 99 (correct: XCIX) or VL for 45 (correct: XLV). This is a common mistake in homework assignments, as Maya Singh discovered when her teacher marked IL as incorrect for 49. The correct form is XLIX.
Where Are Roman Numerals Used Today?
Clock and Watch Faces
Many traditional clock faces use Roman numerals, with the notable convention of IIII for 4 instead of IV. The Pinewood Falls town clock in the square uses this style. High-end watch brands like Rolex continue this tradition on many of their dial designs.
Movie and Television Copyright
Film and TV credits often display the copyright year in Roman numerals. A movie released in 2026 shows MMXXVI in the end credits. This convention dates back to the early days of Hollywood and was originally intended to make the release year less obvious so films would seem "timeless."
Super Bowl and Major Events
The Super Bowl has been numbered with Roman numerals since Super Bowl V (1971). Super Bowl LX will be the 60th edition. The only exception was Super Bowl 50 in 2016, when the NFL used Arabic numerals because "L" alone did not look as impressive in marketing materials.
Academic and Legal Documents
Outlines use Roman numerals for major sections. Legal documents number articles and sections with Roman numerals. Textbook volumes, academic paper sections, and footnotes frequently use them. Preface pages in books are numbered with lowercase Roman numerals (i, ii, iii, iv).
For other number conversions, try the percentage calculator for percent math, the fraction calculator for fraction arithmetic, or the age calculator to convert birth years into exact ages.
This converter handles standard Roman numeral notation for numbers 1 through 3,999. Extended notation (vinculum) for numbers above 3,999 is not supported. Historical Roman numeral usage sometimes varied from modern standardized rules.