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Last updated on September 27, 2025
Roman Numerals are the symbols from the Latin letters used by Romans for daily transactions and counting purposes. In this topic, we will learn how to write Roman Numerals and their uses.
Roman Numerals use symbols to represent number systems. Ancient Romans used the letters I, V, X, L, C, D, and M to represent the number system.
The unavailability of zero at that time and the lack of other mathematical operations made the Roman Numerals obsolete in recent times. For example, we write 15000 as X̅V̅.
Roman numbers are used today in clocks, chapters in books, classrooms, etc. The following chart helps us to understand the numerals better.
The list of Roman Numerals provides an organized way to understand how those letters combine to represent a number. The given list starts from I (1) to M̅ (1,000,000). Learning these numerals helps you in a deeper understanding of the numerical system.
Roman Numerals from 1 to 1000
Roman Numerals from 1001 to 2000
Roman Numerals from 2001 to 3000
Roman Numerals from 3001 to 4000
Roman Numerals from 4001 to 5000
Roman Numerals rely on specific symbols, and it has rules of addition and subtraction. The basic symbols in Roman Numerals are:
Using the above symbols, we can combine the Roman Numerals for the numbers easily. There are two basic methods of writing Roman Numerals, they are:
Through the expansion method, we break down the numbers into thousands, hundreds, tens, and one's parts and then convert them into numerals.
Step 1: Break the numbers into respective parts.
Step 2: Write Roman Numerals for each part.
Step 3: Combine all the parts to get the numerals.
Example: For the number 99999.
Step 1: Break the numbers 90000 + 9000 + 900 + 90 + 9 = 99999
Step 2: Add Roman Numerals for each part The Roman Numeral of 90000 is X̅C̅. The Roman Numeral of 9000 is I̅X̅. The Roman Numeral of 900 is CM. The Roman Numeral of 90 is XC. The Roman Numeral of 9 is IX.
Step 3: Combine all the parts 90000 (X̅C̅) + 9000 (I̅X̅) + 900 (CM) + 90 (XC) + 9 (IX) = X̅C̅I̅X̅CMXCIX.
Therefore, the Roman Numeral of 99999 is X̅C̅I̅X̅CMXCIX.
Grouping method directly from the number by combining Roman Numeral symbols directly. It uses addition and subtraction rules.
Step 1: Start writing numerals for the largest number.
Step 2: Smaller numbers are either getting added or subtracted. Following the rule of adding and subtraction is mandatory.
Example: For the number 12000.
Step 1: Start with the larger numbers. While splitting, we will get 10000 and 2000 The Roman Numeral of 10000 is X̅
Step 2: Add or subtract the smaller number If we add 2000 to 10000 it will become 12000.
The Roman Numeral of 2000 is MM Therefore, the Roman Numeral of 12000 is X̅MM.
Roman Numerals follow rules to make sure the number is written correctly. Here are some main rules given below:
In Roman Numerals, if the smaller numeral comes after the large numeral, then we need to add their values.
Example: If the given number is XII.
We can see that the number X refers to 10 and the other number refers to 2. So in this, the smaller numeral is after the large numeral, so we need to add the 10 and 2 to get the value 12.
The Roman Numeral can be repeated up to three times to increase its value. The numbers cannot be repeated after three times. Only symbols like I, X, C, and M can be repeated and V, L, and D cannot be repeated.
Example: XXX = 10 + 10 + 10 = 30 repeating the numeral X for the fourth time is not allowed.
If the smaller numeral comes before the large numeral, then we need to subtract the smaller numeral from the larger numeral to get the number. There are three rules in subtraction, they are, I can be subtracted from V and X. X can be subtracted from L and C. C can be subtracted from D and M.
Example: In the number IV.
Here, V is the biggest numeral and I is the smallest numeral. As we see that the smaller numeral is before the larger numeral, we need to subtract to get the number. V (5) - I (1) = IV (4).
Roman Numerals consist of several limitations, they are: A numeral cannot be repeated more than three times. For example, III (3) cannot be repeated more than 3 times, instead we use IV for writing 4.
Subtraction cannot be done with the non-pair numbers. For example, XI here X (10) - I(1) gives IX is applicable but IC, C (100) - I(1) is not applicable.
Only one subtraction can be allowed in one numeral. For example, XL (40), L (50) - X (10) is applicable to get 40 but XXL is not applicable to get the number 30.
Roman Numerals are fun to learn and easy to write when you know the following tips and tricks:
It is easy to make mistakes while learning Roman Numerals, but using the following mistakes and the ways to avoid them can help you to avoid those mistakes.
Write the Roman Numerals for 28000 using the breakdown method.
The Roman Numeral of 28000 is X̅X̅V̅MMM.
Step 1: Break the numbers into thousands, hundreds, tens, and ones. 28000 = 20000 + 8000
Step 2: Add numerals to each part.
Step 3: Combine the parts 20000 (X̅X̅) + 8000 (V̅MMM) = X̅X̅V̅MMM (28000).
Add XX̅ + VI.
XX̅VI
Adding XX̅ (20000) and VI (6) = XX̅VI (20006).
Subtract L̅ - XXV.
XL̅X̅XXV
L̅ = 50000
XXV = 25
50000 - 25 = 49975 = XL̅X̅XXV.
Write the Roman Numeral of 100000.
C̅
The Roman Numeral of 100000 is C̅.
Add 200000 + 25000 and write the answer in Roman Numeral.
CC̅XX̅V̅.
200000 + 25000 = 225000
CC̅ + XX̅V̅ = CC̅XX̅V̅.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.