Last updated on May 26th, 2025
Roman numerals are a way of expressing numbers using symbols. I, V, X, L, C, D, and M are the symbols we use. Roman Numerals are used in royal titles, book names, sequences, and so on. Here we will be discussing Roman Numerals, rules, and examples.
Royal titles, such as Henry I, Henry II, and so on, use Roman numerals. Have you noticed these numerals and wondered what these symbols (I and II) represented? Those are the Roman Numerals. In ancient times, people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was required. Ancient Romans used the Roman Numeral system for counting. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols we use to count.
In Roman Numerals, we use CCCLXVI to represent 366, where C is 100, L is 50, X is 10, V is 5, and I is 1. Let’s learn more about Roman numerals and how we write them.
There are basic rules to write a number in Roman Numerals. Let's discuss some key rules you need to remember.
Rule 1: Addition Method
The addition method is used when a smaller number is placed after a larger number. For example, VI → V + I → 5 + 1 = 6.
Rule 2: Repetition Method
Some Roman Numerals can be repeated up to three times. For example, III → 3.
Rule 3: Subtraction Method
If a smaller number comes before a larger number, it is subtracted. For example, IV → V - I → 5 - 1 = 4.
Rule 4: Limitation Rule
Symbols cannot be repeated more than three times. Symbols like V, L, and D cannot be repeated. For example, we won't write VV for 10; instead, we use X. For 8, we write VIII, not IIIIIIII.
Let’s now learn how to write 366 in Roman Numerals using two methods: Expansion and Grouping.
In the expansion method, the number is broken down based on place value.
To write 366 in Roman Numerals, follow these steps:
Step 1: Break the number based on place value: hundreds, tens, ones.
For 366, write it as 300 + 60 + 6.
Step 2: Convert each number into Roman Numerals.
300 in Roman Numerals — CCC
60 in Roman Numerals — LX
6 in Roman Numerals — VI
Step 3: Combine the Roman Numerals.
Therefore, 366 in Roman Numerals is CCC + LX + VI = CCCLXVI.
For large numbers, group the number. To write 366 in Roman Numerals, group it as 300 + 60 + 6.
300 in Roman Numerals — CCC
60 in Roman Numerals — LX
6 in Roman Numerals — VI
So, 366 is written as CCCLXVI in Roman Numerals.
Students often make mistakes when writing numbers in Roman Numerals. Here are some common mistakes and ways to avoid them.
Convert the year CCCLXVI into a format representing the number of days in a leap year.
The year CCCLXVI corresponds to 366 days, which is the number of days in a leap year.
The Roman numeral CCCLXVI represents the number 366, which matches the number of days in a leap year. Leap years occur every four years and have 366 days instead of the usual 365.
A historian is examining a document written in the year CCCLXVI. How many years have passed since that year up to MMXXIII?
From the year CCCLXVI to MMXXIII, 1657 years have passed.
CCCLXVI is the Roman numeral for 366, and MMXXIII is the Roman numeral for 2023. The difference between 2023 and 366 is 1657.
An ancient artifact was discovered with the inscription CCCLXVI. If each letter represents a century, calculate the artifact's age in Roman numerals.
The artifact's age is XVII centuries.
Each letter in the inscription represents a century, and there are 3 letters in CCCLXVI. Thus, 3 centuries have passed since 0. Converting to years, 3 centuries = 300 years. In Roman numerals, 17 centuries since year 0 would be XVII.
A collection of 732 ancient coins is divided among two historians. If one historian receives CCCLXVI coins, how many coins does the other historian receive?
The other historian receives CCCLXVI coins.
The total number of coins is 732. If one historian receives 366 coins (CCCLXVI), the remaining coins are 732 - 366 = 366. Therefore, the other historian also receives 366 coins, which is CCCLXVI in Roman numerals.
Write the Roman Numeral for 366 + 134 using the subtraction method.
The Roman numeral for 366 + 134 is D.
First, convert the numbers 366 and 134 into Roman numerals:
- 366 is CCCLXVI
- 134 is CXXXIV
Add the numbers together: 366 + 134 = 500
In Roman numerals, 500 is D.
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.