If you have trouble converting numbers to Roman numerals, our simple Roman Numeral Converter will help. Simply enter the number and click hit button to produce the Roman numeral along with the detailed explanation in a short span of time. We may need to convert numbers to Roman numerals for academic or other reasons. However, this is not something that the ordinary individual finds simple to accomplish.
In the Roman numeral system, numbers are represented by combinations of letters from the Latin alphabet and have been used throughout Europe for hundreds of years. The Roman numeral system originated in ancient Rome and remained popular well into the late Middle Ages.
In the Roman numeral system, letters represent numbers. In contemporary Roman numerals, the letters M, D, C, L, X, V, and I correspond to 1000, 500, 100, 50, 10, 5, and 1.
In Roman numeral fonts, the numbers are instead represented by special characters rather than traditional 0-9 alphabet numbers. This number system was invented in ancient Rome and is frequently used today for things like sporting events, or tattoos.
Decimal Value (D) |
Roman Numerals (R) |
1 |
I |
4 |
IV |
5 |
V |
9 |
IX |
10 |
X |
40 |
XL |
50 |
L |
90 |
XC |
100 |
C |
400 |
CD |
500 |
D |
900 |
CM |
1000 |
M |
This module includes step-by-step instructions as well as an online calculator that provides accurate results in a short period of time. Visit Arithmetic Calculators to learn more about the many calculators available and to conduct your calculations fast.
Example:
Convert 2112 into Roman Numerals.
Solution:
Given a number, N = 2112
Here, we get the highest decimal value that is less than or equal to the decimal number N.
The corresponding roman numeral R using the above table is ‘M’. i.e. 1000.
Now subtracting its value from the decimal number i.e 2112, then adding the corresponding Roman numeral to the answer in each step.
Repetition |
Decimal number ‘N’ |
Corresponding Decimal Number |
Corresponding Roman Numeral |
Result in Roman Numeral |
1 |
2112 |
1000 |
M |
M |
2 |
1112 (2112-1000 = 1112) |
1000 |
M |
MM |
3 |
112 (1112 – 1000 = 112) |
100 |
C |
MMC |
4 |
12 (112 – 100 = 12) |
10 |
X |
MMCX |
5 |
2 (12 – 10 = 2) |
1 |
I |
MMC XI |
6 |
1 |
1 |
I |
MMCXII |
7 |
0 (1 – 1 = 0) |
- |
- |
MMCXII |
In the seventh repetition, we got the subtraction value zero.
Hence the decimal number 2112 can be written as MMCXII in Roman Numerals.
1. What are the rules for writing Roman numerals?
The basic Rules for Writing Roman Numerals are:
The letters C, I & X can only be repeated thrice in succession.
Whenever we write a lower value digit to the right of a higher value digit, it will be added.
Whenever we write a lower value digit to the left of a higher value digit, it will be subtracted.
We can use only I, X, and C as subtractive numerals.
2. Which biggest number can be formed using Roman numerals?
3999 is the biggest number that can be formed using Roman numerals.
3. What should be subtracted CC to get CLIX?
In Roman Numerals 9 can be written as IX, 50 can be written as L, and 100 can be written as C. Hence, CLIX = C + L + IX = 100 + 50 + 9 = CLIX.
4. What is the range of Roman numbers?
Considering from bottom to top the Roman numbers range from 13 to 22.