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Last updated on March 29th, 2025
Roman numerals are a way of expressing numbers using symbols such as I, V, X, L, C, D, and M. Roman numerals are used in royal titles, book names, sequences, and more. Here, we will discuss Roman numerals, their rules, and examples.
The royal titles, such as Henry I, Henry II, and so on, often use Roman numerals. Have you noticed these names and wondered what the symbols (I and II) represented? Those are Roman numerals. In the past, people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was required for counting. Ancient Romans developed the Roman numeral system for this purpose. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used in this system.
In Roman numerals, we use CCLV to represent 255, where C is 100, L is 50, and V is 5. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules to write a number in Roman numerals. In this section, let’s discuss some basic rules to remember when writing a number in Roman numerals.
Rule 1: Addition Method
The addition method is used when a smaller number is placed after a larger number. For example, CCLV → C + C + L + V → 100 + 100 + 50 + 5 = 255.
Rule 2: Repetition Method
To write a large number, certain Roman numerals can be repeated up to three times. For example, CCC → 300.
Rule 3: Subtraction Method
If a smaller number precedes a larger number in Roman numerals, we subtract the smaller number from the larger number. For example, IV → V - I → 5 - 1 = 4.
Rule 4: Limitation Rule
The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we won't write LL for 100;
Let’s now learn how to write 255 in Roman numerals. Follow these methods to write the number in Roman numerals.
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 255 in Roman numerals using the expansion method.
To write 255 in Roman numerals, follow these steps:
Step 1: Break the number based on place value: ones, tens, hundreds, etc.
For 255, we write it as 100 + 100 + 50 + 5.
Step 2: Convert the numbers into Roman numerals:
- 100 in Roman numerals — C
- 50 in Roman numerals — L
- 5 in Roman numerals — V
Step 3: Combine the Roman numerals together.
Therefore, 255 in Roman numerals is C (100) + C (100) + L (50) + V (5) = CCLV.
When writing a large number into Roman numerals, we group the number. To write 255 in Roman numerals, we group 255 as 100 + 100 + 50 + 5.
- 100 in Roman numerals — C
- 50 in Roman numerals — L
- 5 in Roman numerals — V
So, 255 is written as CCLV in Roman numerals.
A historian finds two ancient scrolls that are marked with the Roman numerals CLV and C. What is the total number of scrolls represented by the sum of these numerals?
An archaeologist discovers a treasure chest with CCLV coins, which are to be distributed equally among V collectors. How many coins does each collector receive?
A mathematician is solving a puzzle where the difference between CCC and XLV is required. What is this difference in Roman numerals?
A library catalog lists CCXLV manuscripts and plans to acquire another X manuscripts. How many manuscripts will the library have in total?
Convert the expression (CC + LV) into Roman numerals using the expansion 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.