Read the symbols left to right and add them up. MDCLXVI is 1000 + 500 + 100 + 50 + 10 + 5 + 1, which is 1666. The single complication is that when a smaller symbol sits directly in front of a larger one, you subtract it instead of adding it: IV is 4, not 6, and IX is 9. Learn the seven values, learn the six subtractions that are allowed, and every numeral you are likely to meet comes apart in a few seconds.
What each of the seven symbols is worth
There are seven, and in the classic system there have only ever been seven.
| Symbol | Value | May be placed before |
|---|---|---|
| I | 1 | V and X |
| V | 5 | nothing |
| X | 10 | L and C |
| L | 50 | nothing |
| C | 100 | D and M |
| D | 500 | nothing |
| M | 1000 | nothing |
The values alternate between 1 and 5 at each scale: one, five, ten, fifty, hundred, five hundred, thousand. The letters are arbitrary to a modern eye, so most people memorise the two anchors — L is 50, D is 500 — and derive the rest from there.
Everything else is a combination. There is no symbol for 4, none for 40, none for 900. Those are built out of the seven.
When do you add and when do you subtract?
Compare each symbol with the one immediately after it.
- If it is the same size or larger, add it. VIII is 5 + 1 + 1 + 1, so 8.
- If it is smaller, subtract it. XL is 50 minus 10, so 40.
That is the whole reading algorithm, and it is why numerals are written biggest first: descending order is the default, and an ascending pair is a deliberate signal that something is being taken away.
The six subtractions that are allowed
You cannot put any small symbol in front of any large one. Only I, X and C are ever subtracted, and only from the next two symbols up the ladder. That gives exactly six legal pairs:
- IV = 4 and IX = 9
- XL = 40 and XC = 90
- CD = 400 and CM = 900
V, L and D are never subtracted from anything. Nor are they ever written twice — VV is not 10, it is a mistake, because X already exists. And no symbol jumps more than two rungs. IC for 99 looks reasonable and is not standard form; nobody wrote it that way. Ninety is XC and nine is IX, so 99 is XCIX.
How do you read a long numeral?
Do not read it character by character. Chop it into thousands, hundreds, tens and units, because a well-formed numeral always runs in that order. Take MCMXLIV:
- M — 1000
- CM — 900
- XL — 40
- IV — 4
1944. The four chunks map straight onto the four digits, and once you are looking for chunks rather than letters, the subtractive pairs stop being a trap. The same trick handles MMMDCCCLXXXVIII, which at 15 characters is the longest numeral the system can produce: MMM, DCCC, LXXX, VIII gives 3000 + 800 + 80 + 8, or 3888.
When you only need the answer and not the practice — a copyright line at the end of a film, a date carved over a doorway — the Roman numeral converter here shows the running total chunk by chunk, so you can see which piece contributed what instead of trusting a single number at the end.
How do you read a year?
Years are the most common reason anyone needs this, and they have a rhythm of their own. Anything from the twentieth century starts MCM, because 1900 is 1000 + 900 and the hundreds column is expensive. MCMLXXXIV is 1000 + 900 + 80 + 4, so 1984. That is why film credits from that era look so long.
The 2000s are mercifully short. MM is 2000, so MMXXVI is 2026 and MMXIV is 2014. If a numeral starts with two Ms and then gets brief, you are almost certainly looking at a recent year.
Which numerals break the rules and get used anyway?
Strict subtractive notation is tidier than history. Roman inscriptions were not consistent, and the rules above were tightened long after Rome. Three things you will actually run into:
IIII instead of IV. Look at a traditional clock dial and four is almost always IIII. Explanations circulate and none of them is documented well enough to repeat as the reason; what is certain is that IIII was ordinary in Roman use and clockmakers never dropped it. Read it as four either way.
Additive forms generally. XIIII for 14 or LXXXX for 90 turn up on inscriptions and in older books. They are unambiguous. They are just not the modern standard form, so add them up as written and move on.
Genuinely ambiguous inventions. IIXX is the awkward case. The mechanical rule gives 20, which is what the converter on this site returns, and the writer may well have meant 18. There is no way to tell from the numeral alone. If one turns up in something you are transcribing, the surrounding text is the only evidence you have.
What you will never see in a numeral
Three absences catch people out, and all three are consequences of the same design.
- No zero. There is no symbol for it and no need for one. The system has no place value, so there is no empty column to mark. Positional systems are the ones that cannot function without a zero — how decimal, binary and hex actually encode a number explains the difference, and the need for a placeholder is the heart of it.
- No negatives. Same reason. A numeral counts things, and a count does not go below nothing.
- Nothing above MMMCMXCIX. M repeats at most three times, so 3999 is the ceiling of the seven symbols. Larger numbers used a vinculum, a bar drawn over a symbol to multiply it by a thousand — a typographic mark rather than a character, never standardised, and awkward in plain text. The converter here stops at 3999 for that reason.
How do you write a number as a numeral?
Work down from the largest value and take as many of each as fit. For 1987: one M leaves 987; CM covers 900 and leaves 87; LXXX covers 80 and leaves 7; VII finishes it. MCMLXXXVII.
Two checks catch nearly every mistake. First, no symbol other than I, X, C and M may repeat, and none may repeat more than three times. If you have written IIII or DD, back up. Second, read your numeral back left to right and confirm the values only ever descend, apart from the six legal subtractive pairs. A numeral that passes both is in standard form.
How do you read numerals that are not counting anything?
Plenty of numerals name a position rather than a quantity, and they are read as ordinals. Henry VIII is Henry the eighth, not Henry eight. The same goes for popes, monarchs and the third generation of a family name. Outline levels in a contract work the same way: clause IV is the fourth clause.
Lowercase numerals mean exactly what the capitals mean. A book's front matter runs i, ii, iii so the preface does not eat into page 1, and music theory writes chords as I, ii, V, where the case says something about the chord rather than about the number.
If you would rather check than translate in your head, the Roman numeral converter works in both directions and breaks the numeral into the pieces that produced each part of the total, flagging non-standard forms like IIII rather than silently accepting them. It runs in your browser, so nothing you paste goes anywhere.
Numerals on buildings tend to lead to a second question, which is how long ago that actually was. Working out an exact span in years, months and days covers why that arithmetic is fiddlier than subtracting two years, and where the off-by-one errors come from.
Frequently asked questions
How do you read Roman numerals?
Go left to right and add each symbol to the total, using I=1, V=5, X=10, L=50, C=100, D=500 and M=1000. The exception is when a smaller symbol sits directly before a larger one, in which case you subtract it: IV is 4 and XC is 90. So MCMXLIV is 1000 + 900 + 40 + 4, or 1944.
How do you know when to subtract instead of add?
Compare each symbol with the one immediately after it. If the next symbol is bigger, the current one is subtracted; otherwise it is added. Only six such pairs are legal: IV, IX, XL, XC, CD and CM. Everywhere else the values descend and you simply add them up.
What year is MCMXCIX?
It is 1999. M is 1000, CM is 900, XC is 90 and IX is 9. Years from the twentieth century run long because 1900 has to be written as M followed by CM.
How do you break a long Roman numeral into parts?
Split it into thousands, hundreds, tens and units, in that order, because a well-formed numeral is always written that way. MCMXLIV splits into M, CM, XL and IV, which is 1000, 900, 40 and 4. Reading chunks instead of single letters is what stops the subtractive pairs catching you out.
Are lowercase Roman numerals different from uppercase?
No, the values are identical: iv is 4 exactly as IV is. Lowercase is a typographic convention, used for the front matter of books and for outline levels, so that a preface can run i, ii, iii without disturbing page 1.
Can Roman numerals be written in any order?
No. Symbols run largest first, and order changes the value: XI is 11 while IX is 9. The only ascending pairs allowed are the six subtractive ones, IV, IX, XL, XC, CD and CM. Anything else that ascends is either a mistake or a non-standard historical form.
Last updated September 19, 2026