Roman Numerals
Decimal to Roman
Range: 1 - 3999
Roman Numeral
MMXXIV
Roman to Decimal
Decimal Number
2,024
Roman Numeral Symbols
Subtractive Combinations
Common Examples
| Decimal | Roman | Breakdown |
|---|---|---|
| 1 | I | 1 |
| 4 | IV | 5-1 |
| 9 | IX | 10-1 |
| 14 | XIV | 10+5-1 |
| 49 | XLIX | 50-10+10-1 |
| 99 | XCIX | 100-10+10-1 |
| 500 | D | 500 |
| 999 | CMXCIX | 1000-100+100-10+10-1 |
| 2024 | MMXXIV | 1000+1000+10+10+5-1 |
| 3999 | MMMCMXCIX | max value |
Roman Numeral Rules
- Symbols are added from left to right (XVI = 10+5+1 = 16)
- A smaller symbol before a larger one means subtraction (IV = 5-1 = 4)
- Only I, X, C can be subtracted (never V, L, D)
- I can only be subtracted from V and X
- X can only be subtracted from L and C
- C can only be subtracted from D and M
- Maximum representable value is 3999 (MMMCMXCIX)
- Zero has no Roman numeral representation
About the Roman Numerals
The Roman Numerals tool converts between the ancient Roman numbering system and modern decimal (Arabic) numbers, in both directions. Roman numerals are built from seven letters — I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) — combined according to additive and subtractive rules. Enter a decimal number to see its Roman form, or enter a numeral string like MCMXCIV to read its decimal value (1994).
The system works mostly by addition: symbols are written from largest to smallest and summed, so MMXXIV is 1000 plus 1000 plus 10 plus 10 plus 1 plus 5 minus 1, which is 2024. The key twist is the subtractive rule, where a smaller symbol placed before a larger one is subtracted — IV is 4 (five minus one) and IX is 9, while CM is 900. Only specific subtractive pairs are valid (IV, IX, XL, XC, CD, CM), and no symbol normally repeats more than three times in a row, which is why 4 is IV rather than IIII.
Roman numerals still appear in many everyday contexts: clock faces, book chapter and page numbering, movie copyright years, Super Bowl and Olympic numbering, monument inscriptions, and the suffixes of monarchs and family names. Converting them quickly is handy when you encounter a copyright line like MMXXV and want to know it means 2025.
A practical tip: standard Roman numerals have no symbol for zero and no straightforward way to write very large numbers — the conventional maximum without overlines is 3999 (MMMCMXCIX). When reading a numeral, scan left to right and watch for a smaller symbol sitting just before a larger one, which signals subtraction rather than addition.
Frequently asked questions
- What are the seven basic Roman numeral symbols?
- I is 1, V is 5, X is 10, L is 50, C is 100, D is 500, and M is 1000; all numbers are built by combining these.
- Why is 4 written as IV instead of IIII?
- It uses the subtractive rule: a smaller symbol before a larger one is subtracted, so IV means five minus one. A symbol also is not normally repeated more than three times.
- What is the largest number standard Roman numerals can represent?
- Without overline notation for thousands, the conventional maximum is 3999, written MMMCMXCIX, because symbols are not repeated more than three times.
- Is there a Roman numeral for zero?
- No. The Roman system has no symbol for zero; it was a place-value concept that the Romans simply did not use in their numeral notation.
- How do I read a numeral like MCMXCIV?
- Scan left to right: M is 1000, CM is 900, XC is 90, and IV is 4, totaling 1994. Smaller symbols before larger ones are subtracted.
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