Summarize this article:
Last updated on September 27, 2025
Roman Numerals are symbols derived from Latin letters used by the Romans for counting and transactions. In this topic, we will learn how to write Roman Numerals from 1 to 250 and their applications.
Roman Numerals utilize symbols to represent numbers. Ancient Romans used the letters I, V, X, L, C, D, and M to denote numbers. The absence of zero and limited mathematical operations led to the obsolescence of Roman Numerals in modern times. For example, the number 15 is written as XV.
Roman Numerals are still used today in clocks, book chapters, and classroom numbering, among other applications. The following chart aids in understanding these numerals better.
The list of Roman Numerals provides an organized way to understand how letters combine to form numbers. The given list starts from I (1) up to CCL (250). Understanding these numerals helps deepen comprehension of the numerical system.
Roman Numerals from 1 to 100
Roman Numerals from 101 to 200
Roman Numerals from 201 to 250
Roman Numerals rely on specific symbols and have rules for addition and subtraction. The basic symbols in Roman Numerals are:
Using these symbols, we can easily combine Roman Numerals for numbers. There are two basic methods of writing Roman Numerals:
Expansion Method
Through the expansion method, numbers are broken down into hundreds, tens, and ones before being converted into numerals.
Step 1: Break the numbers into hundreds, tens, and ones.
Step 2: Write Roman Numerals for each part.
Step 3: Combine all the parts to form the numeral.
Example: For the number 249.
Step 1: Break the numbers 200 + 40 + 9 = 249
Step 2: Add Roman Numerals for each part
Step 3: Combine all the parts 200 (CC) + 40 (XL) + 9 (IX) = CCXLIX. Therefore, the Roman Numeral of 249 is CCXLIX.
Grouping Method
The grouping method involves directly combining symbols using addition and subtraction rules.
Step 1: Write numerals for the largest numbers first.
Step 2: Smaller numbers are added or subtracted as per the rules.
Example: For the number 73.
Step 1: Start with the larger numbers.
Step 2: Add or subtract the smaller number Add 3 to 70 to get 73. The Roman Numeral of 3 is III.
Therefore, the Roman Numeral of 73 is LXXIII.
Roman Numerals follow specific rules to ensure numbers are written correctly. Here are some main rules:
Rule 1: Addition Method
In Roman Numerals, if the smaller numeral comes after the larger numeral, their values are added.
Example: If the number is XVI, X represents 10 and VI represents 6.
Since the smaller numeral follows the larger numeral, 10 and 6 are added to get 16.
Rule 2: Repetition Method
A Roman Numeral can be repeated up to three times to increase its value. Symbols like I, X, C, and M can be repeated; however, V, L, and D cannot.
Example: XXX = 10 + 10 + 10 = 30. Repeating X four times is not allowed.
Rule 3: Subtraction Method
If the smaller numeral appears before the larger numeral, it is subtracted. Subtraction has three rules: 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 IV, V is larger and I is smaller. Since the smaller numeral is before the larger numeral, subtraction is needed. V (5) - I (1) = IV (4).
Rule 4: Limitation Rule
Roman Numerals have limitations: A numeral cannot be repeated more than three times. For example, III (3) cannot be repeated more than three times; IV is used for 4.
Subtraction cannot be done with non-pair numbers. For example, IX (10) - I(1) = IX is valid, but IC (C (100) - I(1)) is not.
Only one subtraction is allowed in a numeral. For example, XL (40), L (50) - X (10) is valid, but XXL is not valid for 30.
Roman Numerals are engaging and easy to write when you know these tips and tricks:
Mistakes are easy to make when learning Roman Numerals, but these common errors and solutions can help you avoid them.
Write the Roman Numerals for 128 using the breakdown method.
The Roman Numeral of 128 is CXXVIII.
Step 1: Break the numbers into hundreds, tens, and ones. 128 = 100 + 20 + 8
Step 2: Add numerals to each part.
Step 3: Combine the parts 100 (C) + 20 (XX) + 8 (VIII) = CXXVIII (128).
Add CXX + VI.
CXXVI
Adding CXX (120) and VI (6) = CXXVI (126).
Subtract CC - LXXV.
CXXV
CC = 200 LXXV = 75 200 - 75 = 125 = CXXV.
Write the Roman Numeral of 250.
CCL
The Roman Numeral of 250 is CCL.
Add 225 + 25 and write the answer in Roman Numerals.
CCL
225 + 25 = 250 CCXXV + XXV = CCL.
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.