- What's the subtractive rule?
- When a smaller numeral appears immediately before a larger one, you subtract: IV = 5 − 1 = 4, IX = 10 − 1 = 9, XL = 50 − 10 = 40. Only six pairs are valid: IV, IX, XL, XC, CD, CM. Anything else like IL or IC is wrong.
- Why isn't 4 written as IIII?
- Because the standard form is subtractive — IV. IIII does appear on traditional clock faces (a typographic choice for visual balance with VIII on the opposite side), but it's non-standard for everything else.
- What's the maximum?
- 3,999,999. Beyond that the system breaks down: there's no widely-agreed symbol for ten million. We use parenthesised groups for ×1000 multipliers, which is the modern ASCII equivalent of the classical vinculum (overline). So 5,000 is (V), 10,000 is (X), etc.
- Is there a zero?
- No. Romans had no symbol for zero — the concept arrived in Europe with the Hindu-Arabic numeral system in the 12th-13th century. Medieval clerks who needed it sometimes wrote 'N' (for the Latin 'nullus'), but it isn't standard.
- Why are clock faces sometimes IIII instead of IV?
- Tradition. The earliest mechanical clocks used IIII as a visual counter-weight to VIII on the opposite side of the dial — IV looks too light next to VIII. Many modern luxury watchmakers preserve this convention; it's not a 'mistake'.
- What about V̄ or X̄ with an overline?
- Classical Latin used a vinculum (overline) to multiply by 1,000 — so V̄ meant 5,000. Modern ASCII can't show the overline reliably, so we render it as (V). Both mean the same thing.
- Are negative Roman numerals possible?
- Not historically. The system has no sign. The calculator rejects negative input rather than invent a convention.