1,948 in Roman numerals
MCMXLVIII
The number 1,948 is written MCMXLVIII in Roman numerals. As a year it appears in copyright lines and cornerstones written this way.
How MCMXLVIII breaks down
| Symbols | Value |
|---|---|
M | 1,000 |
CM | 900 |
XL | 40 |
V | 5 |
III | 3 × 1 = 3 |
MCMXLVIII | 1,948 |
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 |
|---|---|
| 1,943 | MCMXLIII |
| 1,944 | MCMXLIV |
| 1,945 | MCMXLV |
| 1,946 | MCMXLVI |
| 1,947 | MCMXLVII |
| 1,948 | MCMXLVIII |
| 1,949 | MCMXLIX |
| 1,950 | MCML |
| 1,951 | MCMLI |
| 1,952 | MCMLII |
| 1,953 | MCMLIII |
The seven symbols
I | 1 | C | 100 |
V | 5 | D | 500 |
X | 10 | M | 1,000 |
L | 50 |
1,948 in other notations
| Roman | MCMXLVIII |
| Binary | 11110011100 |
| Hexadecimal | 79C |
| Octal | 3634 |
| Written out | one thousand nine hundred and forty-eight |
Writing it by hand
Work down through the symbol values, taking as many of each as will fit before moving to the next. For 1,948:
M = 1000 remaining: 948
CM = 900 remaining: 48
XL = 40 remaining: 8
V = 5 remaining: 3
3 × I = 3 remaining: 0The result reads MCMXLVIII — 9 characters, against 4 digits in Arabic numerals. The verbosity at numbers like this is precisely why positional notation replaced the system for arithmetic.
Frequently asked questions
What is 1,948 in Roman numerals?
MCMXLVIII
How do you read MCMXLVIII?
Work left to right, adding each symbol — except where a smaller symbol precedes a larger one, in which case it is subtracted. M is 1,000, CM is 900, XL is 40, V is 5, III is 3, giving 1,948 in total.
How do you write 1,948 in words?
one thousand nine hundred and forty-eight.
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.