Roman Numerals: How They Work With a Conversion Chart
Roman numerals still show up everywhere — on clock faces, book chapters, movie sequels, building cornerstones and the Super Bowl. They look mysterious, but the whole system runs on just seven letters and a handful of rules. This guide teaches you to read and write Roman numerals confidently, with a full conversion chart.
The Seven Symbols
The entire Roman numeral system is built from seven letters:
I = 1 V = 5 X = 10 L = 50 C = 100 D = 500 M = 1000
That is it. Every Roman numeral you will ever see — from III to MMXXVI — is some combination of these seven symbols.
Rule 1: Add Values Left to Right
Symbols are generally written from largest to smallest, and you add them up:
VI = 5 + 1 = 6 XV = 10 + 5 = 15 LX = 50 + 10 = 60 CL = 100 + 50 = 150 MD = 1000 + 500 = 1500
So far, simple addition. The twist comes with the next rule.
Rule 2: The Subtraction Principle
To avoid writing four identical symbols in a row, the Romans placed a smaller numeral before a larger one to subtract:
IV = 5 − 1 = 4 (not IIII) IX = 10 − 1 = 9 (not VIIII) XL = 50 − 10 = 40 (not XXXX) XC = 100 − 10 = 90 (not LXXXX) CD = 500 − 100 = 400 (not CCCC) CM = 1000 − 100 = 900 (not DCCCC)
Only specific subtractions are allowed — a smaller value may only precede the next one or two higher denominations:
- I subtracts only from V and X (IV = 4, IX = 9)
- X subtracts only from L and C (XL = 40, XC = 90)
- C subtracts only from D and M (CD = 400, CM = 900)
You will never see "IL" for 49 (that is XLIX) or "XM" for 990 (that is CMXC).
Rule 3: No More Than Three in a Row
The same symbol never repeats more than three times:
- III = 3 ✓, but IIII for 4 ✗ (use IV)
- XXX = 30 ✓, but XXXX for 40 ✗ (use XL)
- CCC = 300 ✓, but CCCC for 400 ✗ (use CD)
V, L and D are never repeated at all — there is no "VV" for 10 (that is X).
Reading Roman Numerals: Step by Step
Work left to right. If a symbol is smaller than the one after it, subtract it; otherwise, add it.
Example — MCMXCIV (a classic tricky one):
M = 1000 → 1000 CM = 1000 − 100 = 900 → 1900 XC = 100 − 10 = 90 → 1990 IV = 5 − 1 = 4 → 1994
MCMXCIV = 1994. Try another: MMXXVI = 1000 + 1000 + 10 + 10 + 5 + 1 = 2026.
Writing Numbers as Roman Numerals
Break the number into thousands, hundreds, tens and ones, then convert each part:
Example — 2026:
2000 → MM 20 → XX 6 → VI Result: MMXXVI
Example — 1984:
1000 → M 900 → CM 80 → LXXX 4 → IV Result: MCMLXXXIV
Example — 444 (uses every subtraction pair):
400 → CD 40 → XL 4 → IV Result: CDXLIV
Roman Numeral Conversion Chart (1–100)
1 I 11 XI 21 XXI 31 XXXI 41 XLI 51 LI 2 II 12 XII 22 XXII 32 XXXII 42 XLII 52 LII 3 III 13 XIII 23 XXIII 33 XXXIII 43 XLIII 53 LIII 4 IV 14 XIV 24 XXIV 34 XXXIV 44 XLIV 54 LIV 5 V 15 XV 25 XXV 35 XXXV 45 XLV 55 LV 6 VI 16 XVI 26 XXVI 36 XXXVI 46 XLVI 56 LVI 7 VII 17 XVII 27 XXVII 37 XXXVII 47 XLVII 57 LVII 8 VIII 18 XVIII 28 XXVIII 38 XXXVIII 48 XLVIII 58 LVIII 9 IX 19 XIX 29 XXIX 39 XXXIX 49 XLIX 59 LIX 10 X 20 XX 30 XXX 40 XL 50 L 60 LX 61 LXI 71 LXXI 81 LXXXI 91 XCI 62 LXII 72 LXXII 82 LXXXII 92 XCII 63 LXIII 73 LXXIII 83 LXXXIII 93 XCIII 64 LXIV 74 LXXIV 84 LXXXIV 94 XCIV 65 LXV 75 LXXV 85 LXXXV 95 XCV 66 LXVI 76 LXXVI 86 LXXXVI 96 XCVI 67 LXVII 77 LXXVII 87 LXXXVII 97 XCVII 68 LXVIII 78 LXXVIII 88 LXXXVIII 98 XCVIII 69 LXIX 79 LXXIX 89 LXXXIX 99 XCIX 70 LXX 80 LXXX 90 XC 100 C
Key Milestones
500 → D 1000 → M 2024 → MMXXIV 2025 → MMXXV 2026 → MMXXVI 2000 → MM 1776 → MDCCLXXVI 1969 → MCMLXIX
Where You Still See Roman Numerals
- Clock faces — traditionally IIII instead of IV for 4 (a centuries-old clockmaker convention)
- Book chapters and outlines — Chapter XII, section III
- Movie sequels — Rocky II, Super Bowl LX
- Monarchs and popes — Elizabeth II, Louis XIV
- Building cornerstones and copyright dates — MCMLXXXIV on a film's credits
- Chemistry and music theory — oxidation states, chord analysis
Common Mistakes to Avoid
- IIII for 4 — always IV (except on traditional clock faces, which deliberately break the rule)
- IL for 49 — not allowed; 49 is XLIX
- Repeating V, L or D — VV is never correct; use X
- More than three repeats — XXXX is wrong; use XL
- Zero — the Romans had no symbol for zero at all
Key Takeaways
- Seven symbols: I(1), V(5), X(10), L(50), C(100), D(500), M(1000).
- Add left to right; subtract when a smaller value precedes a larger one (IV = 4).
- Subtraction pairs are fixed: IV, IX, XL, XC, CD, CM — nothing else.
- Never repeat a symbol more than three times; never repeat V, L or D.
- To convert: split into thousands/hundreds/tens/ones and convert each part.
Frequently Asked Questions
How do you write 2026 in Roman numerals? MMXXVI — MM (2000) + XX (20) + VI (6).
Why do clocks use IIII instead of IV? Tradition. Clockmakers have used IIII for the 4 o'clock position for centuries — theories range from visual symmetry with VIII on the opposite side to a story about a king demanding it. Modern clocks follow the convention.
What is the largest number you can write in Roman numerals? With standard symbols, 3,999 (MMMCMXCIX). Larger values need a vinculum — a bar over the numeral meaning ×1000 — but that is rarely used today.
Did the Romans really have no zero? Correct — their number system had no zero and no place value, which is one reason Roman arithmetic was cumbersome and Arabic numerals eventually replaced them for calculation.
Conclusion
Roman numerals are far simpler than they look: seven letters, add them up, and subtract when a small letter sits before a big one. With the chart above and the three rules, you can decode anything from a clock face to a movie copyright date. Next time you spot MCMLXXXIV in film credits, you will read it as 1984 without a second thought.
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