General Math
Roman Numerals Explained: Rules, Conversions, and History
Learn Roman numeral rules, how to convert any number to Roman numerals, and how to read dates in Roman numerals. Complete guide with examples.
Roman numerals have been used for over 2,000 years and remain present in modern life — from clock faces to movie credits, Super Bowl numbers to building cornerstones.
The 7 Roman numeral symbols
| Symbol | Value |
|---|---|
| I | 1 |
| V | 5 |
| X | 10 |
| L | 50 |
| C | 100 |
| D | 500 |
| M | 1,000 |
The rules
Additive rule: When a smaller value follows a larger one, add them.
- VI = 5 + 1 = 6
- LXIII = 50 + 10 + 1 + 1 + 1 = 63
Subtractive rule: When a smaller value precedes a larger one, subtract it.
- IV = 5 − 1 = 4
- IX = 10 − 1 = 9
- XL = 50 − 10 = 40
- XC = 100 − 10 = 90
- CD = 500 − 100 = 400
- CM = 1000 − 100 = 900
Repetition: A symbol can repeat up to 3 times (III = 3, XXX = 30). Never 4 times — use subtractive instead (IV not IIII).
How to convert a number to Roman numerals
Break the number into its place values and convert each:
Example: 2024
- 2000 = MM
- 0 (hundreds) = —
- 20 = XX
- 4 = IV
- 2024 = MMXXIV
Common years in Roman numerals
- 2024 = MMXXIV
- 2025 = MMXXV
- 2026 = MMXXVI
- 2000 = MM
- 1999 = MCMXCIX (the longest year under 2000)
Where you see Roman numerals today
- Clocks: Many clock faces use IIII instead of IV (tradition)
- Movies/TV: Copyright years in credits (© MMXXVI)
- Super Bowl: Super Bowl LIX = 59
- Monarchs: King Charles III, Pope Benedict XVI
- Tattoos: Birth years, anniversaries
Common mistakes
- Writing IIII instead of IV (only valid on clock faces)
- Writing VX instead of V (never subtract V, L, or D)
- Exceeding 3 repetitions (XXXX is wrong, use XL)
Convert any number or date with our Roman Numeral Converter — instant results with breakdown shown.
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