2,004 in Roman numerals
MMIV
The number 2,004 is written MMIV in Roman numerals. As a year it appears in copyright lines and cornerstones written this way.
How MMIV breaks down
| Symbols | Value |
|---|---|
MM | 2 × 1,000 = 2,000 |
IV | 4 |
MMIV | 2,004 |
This numeral uses the subtractive rule: a smaller symbol placed before a larger one is subtracted from it. Only six such pairs are legal — IV (4), IX (9), XL (40), XC (90), CD (400) and CM (900).
Nearby numbers
| Number | Roman numeral |
|---|---|
| 1,999 | MCMXCIX |
| 2,000 | MM |
| 2,001 | MMI |
| 2,002 | MMII |
| 2,003 | MMIII |
| 2,004 | MMIV |
| 2,005 | MMV |
| 2,006 | MMVI |
| 2,007 | MMVII |
| 2,008 | MMVIII |
| 2,009 | MMIX |
The seven symbols
I | 1 | C | 100 |
V | 5 | D | 500 |
X | 10 | M | 1,000 |
L | 50 |
2,004 in other notations
| Roman | MMIV |
| Binary | 11111010100 |
| Hexadecimal | 7D4 |
| Octal | 3724 |
| Written out | two thousand and four |
Writing it by hand
Work down through the symbol values, taking as many of each as will fit before moving to the next. For 2,004:
2 × M = 2000 remaining: 4
IV = 4 remaining: 0
The result reads MMIV — 4 characters, against 4 digits in Arabic numerals.
Frequently asked questions
What is 2,004 in Roman numerals?
MMIV
How do you read MMIV?
Work left to right, adding each symbol — except where a smaller symbol precedes a larger one, in which case it is subtracted. MM is 2,000, IV is 4, giving 2,004 in total.
How do you write 2,004 in words?
two thousand and four.
Why is there no zero?
Roman numerals have no symbol for zero. The concept reached Europe only with Hindu-Arabic numerals, centuries after the system was in use — which is a large part of why it was eventually replaced for arithmetic.