Step 1: look for a small symbol before a bigger one
Scan the numeral from left to right. If you find a symbol followed by a bigger one, those two form a pair, and the pair is worth the bigger minus the smaller. There are only six such pairs:
- I1
- V5
- X10
- L50
- C100
- D500
- M1,000
- IV4
- IX9
- XL40
- XC90
- CD400
- CM900
XVIII has none: X, V, I, I, I all go down or stay the same. XIX has one: the IX at the end.
Step 2: add everything
Each pair counts as one value, every other symbol counts on its own. Then add:
- XVIII → X + V + I + I + I = 10 + 5 + 1 + 1 + 1 = 18
- XIX → X + IX = 10 + 9 = 19
- XLIV → XL + IV = 40 + 4 = 44
- MCMLXXXIV → M + CM + L + X + X + X + IV = 1000 + 900 + 50 + 30 + 4 = 1984
Step 3: check that it makes sense
Two quick checks catch nearly every misreading:
- The groups go down. After you've grouped the pairs, the values should never go up from left to right.
- No symbol appears four times in a row. XVIIII is not 19; the standard form is XIX.
If a numeral fails a check, it isn't standard. The validator checks it for you.
The same method, symbol by symbol
Here is 18 read one symbol at a time, with the running total:
| Symbols | Value | Running total |
|---|---|---|
| X | 10 | 10 |
| V | 5 | 15 |
| I | 1 | 16 |
| I | 1 | 17 |
| I | 1 | 18 |
| XVIII | 18 |
Practice
Try these before you look at the answers in the table.
| Numeral | Groups | Value |
|---|---|---|
| XIV | X · IV | 14 |
| XXVII | X · X · V · I · I | 27 |
| XLIX | XL · IX | 49 |
| LXXXVIII | L · X · X · X · V · I · I · I | 88 |
| XCIX | XC · IX | 99 |
| CDXLIV | CD · XL · IV | 444 |
When the steps feel automatic, take the quiz to practise on numerals you haven't seen.
Numerals that look alike
A few pairs trip people up because they use the same letters:
- XVIII and XIIX. The first is 18. The second isn't valid, because only one symbol can subtract.
- XIX and XXI. 19 and 21: the position of the I changes everything.
- IV and VI. 4 and 6, for the same reason.