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Last updated on February 21st, 2025
Roman numerals are a way of expressing numbers using specific symbols, such as I, V, X, L, C, D, and M. Roman numerals are often used in royal titles, book names, sequences, and more. Here, we will discuss Roman numerals, their rules, and examples.
You might have seen Roman numerals used in various contexts like royal titles (e.g., Henry I, Henry II) and wondered what the symbols represent. Roman numerals are an ancient counting system. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) form the basis of this system.
In Roman Numerals, we use CCCLXV to represent 365. Here, CCC is 300, LX is 60, and V is 5. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules to write numbers in Roman numerals. Let's discuss these rules:
Rule 1: Addition Method
The addition method is used when a smaller number is placed after a larger number, indicating addition. For example, LX → L + X → 50 + 10 = 60.
Rule 2: Repetition Method
Certain Roman numerals can be repeated up to three times to represent large numbers. For example, CCC → 300.
Rule 3: Subtraction Method
If a smaller number precedes a larger number, the smaller number is subtracted from the larger number. For example, IV → V - I → 5 - 1 = 4.
Rule 4: Limitation Rule
Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we write 10 as X, not VV.
Let's learn how to write 365 in Roman numerals using different methods:
In the expansion method, the number is broken down based on place value. Here’s how to write 365 in Roman numerals:
Step 1: Break down the number based on place value: 300 + 60 + 5.
Step 2: Convert each part into Roman numerals:
- 300 in Roman numerals is CCC.
- 60 in Roman numerals is LX.
- 5 in Roman numerals is V.
Step 3: Combine them: CCC + LX + V = CCCLXV.
When writing a large number, we group the parts. For 365, group as 300 + 60 + 5:
- 300 in Roman numerals is CCC.
- 60 in Roman numerals is LX.
- 5 in Roman numerals is V.
So, 365 is written as CCCLXV in Roman numerals.
A group of archaeologists found CCCLXV ancient coins during their excavation. If they decide to distribute the coins equally among V archaeologists, how many coins does each archaeologist receive?
An event planner needs to arrange CCCLXV chairs in rows of XIII chairs each. How many complete rows can be formed?
A historian is studying a manuscript that mentions the construction of a building in the year MDCCCLXXV. How many years ago was that from the year represented by CCCLXV?
In a game, a player collects points throughout the year and ends with a total of CCCLXV points. If they had started with CL points, how many points did they earn during the year?
Write the Roman numeral for the sum of 123 and 242 using the grouping method.
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.