940 in Roman numerals
940 in Roman numerals
CMXL
940 is written CMXL in Roman numerals. That is 2 symbol groups added together, reading left to right from the largest value down.
How it breaks down
| Group | Value | Subtraction | Running total |
|---|---|---|---|
| CM | 900 | M − C | 900 |
| XL | 40 | L − X | 940 |
Why the smaller symbol comes first
CMXL uses subtractive notation in 2 places: CM means M minus C, or 900; XL means L minus X, or 40. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.
Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.
The symbols
| Symbol | Value | Used here |
|---|---|---|
| I | 1 | no |
| V | 5 | no |
| X | 10 | yes — 1× |
| L | 50 | yes — 1× |
| C | 100 | yes — 1× |
| D | 500 | no |
| M | 1,000 | yes — 1× |
The same number, other ways
- In words
- Nine hundred forty
- Roman numeral
- CMXL
- Symbol count
- 4 characters
- Binary
- 1110101100
- Hexadecimal
- 3AC
The numbers either side
| Number | Roman numeral |
|---|---|
| 938 | CMXXXVIII |
| 939 | CMXXXIX |
| 940 | CMXL ← |
| 941 | CMXLI |
| 942 | CMXLII |
Common questions
- What is 940 in Roman numerals?
- 940 is CMXL.
- What does CMXL mean?
- CMXL is the Roman numeral for 940 — 900 + 40.
- How do you write 940 in Roman numerals?
- Take the largest value that fits and repeat until nothing is left: CM (900), then XL (40). That gives CMXL.
Related pages
- 938 in Roman numerals CMXXXVIII
- 939 in Roman numerals CMXXXIX
- 941 in Roman numerals CMXLI
- 942 in Roman numerals CMXLII
- 4 in Roman numerals IV
- 9 in Roman numerals IX
- 14 in Roman numerals XIV
- 19 in Roman numerals XIX
- 40 in Roman numerals XL
- 42 in Roman numerals XLII
- 49 in Roman numerals XLIX
- 50 in Roman numerals L
Sources
- Calculated on this page — At One Place