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.
The royal titles, such as Henry I, Henry II, etc., use Roman numerals. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman numerals. Earlier people used fingers, sticks, bones, etc., to count.
When life became complex, a standard form was required to count. Ancient Romans used the Roman numeral system to count. 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 CCCLXIV to represent 364. Here 'C' is 100, 'C' is 100 again, 'C' is 100 once more, 'L' is 50, 'X' is 10, 'IV' is 4. 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 that need to be remembered when writing a number in Roman numerals.
The addition method is used when the smaller number is placed after the larger number. For example, LX → L + X → 50 + 10 = 60.
To write a large number, certain Roman numerals can be repeated three times. CCC → 300.
If a small number is followed by a large number in Roman numerals, we subtract the smaller number from the large number. For example, IV → V - I → 5 - 1 = 4.
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 VV for 10; instead, we use X, and 8 is written as VIII, not IIIIIIII.
Let’s now learn how to write 364 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 364 in Roman numerals using the expansion method.
To write 364 in Roman numerals, follow the steps:
Step 1: The number is broken based on the place value. Place values are ones, tens, hundreds, etc.
For 364, we write it as 300 + 60 + 4.
Step 2: Converting the number into Roman numerals:
300 in Roman numerals — CCC
60 in Roman numerals — LX
4 in Roman numerals — IV
Step 3: Combine the Roman numerals together.
Therefore, 364 in Roman numerals is CCC (300) + LX (60) + IV (4) = CCCLXIV.
When writing a large number into Roman numerals, we group the numbers.
To write 364 in Roman numerals, we group 364 as 300 + 60 + 4.
So, 364 is written as CCCLXIV in Roman numerals.
Students make mistakes when writing a number in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.
A historian discovered CCCLXIV ancient coins and wants to distribute them evenly into VIII groups. How many coins will each group receive?
Each group will receive XLVI coins.
To find out how many coins each group receives, divide the total number of coins by the total number of groups.
CCCLXIV = 364
VIII = 8
364 / 8 = 45.5
Since the coins cannot be split into fractions, each group receives 45 full coins, which is XLV in Roman numerals.
Calculate the sum of CCXLVIII and CXVI.
The sum of CCXLVIII and CXVI is CCCLXIV.
Sum is the result of adding two numbers.
CCXLVIII = 248
CXVI = 116
248 + 116 = 364
364 in Roman numerals is CCCLXIV.
A collector has CCCLXIV stamps and wants to add another LXXXIX stamps to his collection. What is the total number of stamps he will have?
The total number of stamps is CDLIII.
Add the two numbers together.
CCCLXIV = 364
LXXXIX = 89
364 + 89 = 453
453 in Roman numerals is CDLIII.
Determine the difference between CCCC and CCCLXIV.
The difference between CCCC and CCCLXIV is XXXVI.
Subtract the smaller number from the larger number.
CCCC = 400
CCCLXIV = 364
400 - 364 = 36
36 in Roman numerals is XXXVI.
Write the Roman numeral for 364 using the subtraction method.
The Roman numeral for 364 is CCCLXIV.
First, decompose 364 into components that can be represented in Roman numerals using the subtraction method.
364 = 300 + 60 + 4
300 = CCC
60 = LX
4 = IV
Therefore, 364 = CCC + LX + IV = CCCLXIV.
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.