The Roman numeral CDX equals 410.
CDX is built by adding these Roman numeral groups together:
Add them up: CD + X = 410.
| Number | Roman numeral |
|---|---|
| 407 | CDVII |
| 408 | CDVIII |
| 409 | CDIX |
| 410 | CDX |
| 411 | CDXI |
| 412 | CDXII |
| 413 | CDXIII |
Roman numerals use seven letters, each with a fixed value: I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, and M = 1000. Numbers are formed by combining these symbols and adding their values, working from the largest to the smallest.
When a smaller symbol appears before a larger one, it is subtracted instead of added — this is the subtractive rule. For example, IV is 4 (5 − 1) and IX is 9 (10 − 1). The same idea gives XL (40), XC (90), CD (400), and CM (900). The same symbol is never repeated more than three times in a row.
| Symbol | Value |
|---|---|
| I | 1 |
| V | 5 |
| X | 10 |
| L | 50 |
| C | 100 |
| D | 500 |
| M | 1,000 |