The seven symbols everything is built from
Roman numerals use just seven letters, each standing for a fixed value. Every Roman numeral, no matter how long, is some combination of these seven repeated and arranged according to two rules.
| Symbol | Value |
|---|---|
| I | 1 |
| V | 5 |
| X | 10 |
| L | 50 |
| C | 100 |
| D | 500 |
| M | 1,000 |
Additive and subtractive notation
Most of the time, symbols simply add together from left to right: VI is 5 + 1 = 6, and XII is 10 + 1 + 1 = 12. The exception is a short list of subtractive pairs, where a smaller symbol placed immediately before a larger one means subtract instead of add — this is how the numerals avoid ever repeating a symbol more than three times in a row.
| Pair | Value |
|---|---|
| IV | 4 (5 − 1) |
| IX | 9 (10 − 1) |
| XL | 40 (50 − 10) |
| XC | 90 (100 − 10) |
| CD | 400 (500 − 100) |
| CM | 900 (1,000 − 100) |
Converting a number by hand
The trick is to work from the largest value down, peeling off one chunk at a time. Take 2024:
2024 = 1000 + 1000 + 10 + 10 + 4
= M + M + X + X + IV
= MMXXIV
Going the other direction works by scanning left to right and comparing each symbol to the one after it: if a symbol is smaller than the next one, subtract it; otherwise add it. MMXXIV breaks down as M(+1000) M(+1000) X(+10) X(+10) I(smaller than V, so −1) V(+5), totaling 2024 again.
Where Roman numerals still show up today
Clock and watch faces use them for a classic look — often with IIII instead of IV so the four-letter block visually balances VIII on the opposite side. Movie sequels, book chapters, outlines, and the names of monarchs and popes (Elizabeth II, Super Bowl LVIII) all lean on Roman numerals for a formal or traditional feel rather than practicality. Copyright years in film credits are a well-known example too — MCMXCIX for 1999, spelled out the same additive-and-subtractive way as any other year.
Converting other kinds of numbers and units
For everyday unit conversions rather than numeral systems — length, weight, temperature, and more — the conversion calculator covers those in one place.