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, and so on. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman Numerals. Earlier people used to count using fingers, sticks, bones, etc. to count earlier.
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 CCCLXXX to represent 380, where CCC is 300, L is 50, and XXX is 30. 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.
Rule 1: Addition Method
The addition method is used when the smaller number is placed after the larger number, then it is the addition method. For example, CCCLXXX → CCC + L + XXX → 300 + 50 + 30 = 380.
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 small number is followed by a large number in Roman Numerals, we subtract the smaller number from the large number; it is a subtraction method. For example, XL → L - X → 50 - 10 = 40.
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; instead, we use C, and 8 is written as VIII, not IIIIIIII.
Let’s now learn how to write 380 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 380 in Roman numerals using the expansion method.
To write 380 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 380, we write it as 300 + 80.
Step 2: Converting the number into Roman Numerals:
- 300 in Roman Numerals — CCC
- 80 in Roman Numerals — LXXX
Step 3: Combining the Roman Numerals together:
Therefore, 380 in Roman Numerals is CCC (300) + LXXX (80) = CCCLXXX.
When writing a large number into Roman Numerals, we group the number. To write 380 in Roman Numerals, we group 380 as 300 + 80:
- 300 in Roman Numerals — CCC
- 80 in Roman Numerals — LXXX
So, 380 is written as CCCLXXX 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 the ways to avoid them.
A historian finds a document stating that a Roman legion had CCCLXXX soldiers and another had XL soldiers. How many more soldiers did the first legion have than the second?
The first legion had CCCXL more soldiers.
To find how many more soldiers the first legion had, subtract the number of soldiers in the second legion from the first.
CCCLXXX = 380
XL = 40
380 - 40 = 340
340 in Roman Numerals is CCCXL.
A library received a donation of CCCLXXX books and plans to distribute them equally among XL libraries. How many books will each library receive?
Each library will receive IX books.
To determine how many books each library will receive, divide the total number of books by the number of libraries.
CCCLXXX = 380
XL = 40
380 / 40 = 9
9 in Roman Numerals is IX.
An art collector has CC paintings and acquires an additional CLXXX paintings. What is the total number of paintings the collector has now?
The collector now has CCCLXXX paintings.
To find the total number of paintings, add the two quantities.
CC = 200
CLXXX = 180
200 + 180 = 380
380 in Roman Numerals is CCCLXXX.
What is the sum of CXL and CCXL in Roman numerals?
The sum of CXL and CCXL is CCCLXXX.
Sum is the result of adding two numbers.
CXL = 140
CCXL = 240
140 + 240 = 380
380 in Roman Numerals is CCCLXXX.
Write the Roman Numeral for 300 + 80 using the expansion method.
The Roman Numeral for 300 + 80 is CCCLXXX.
First, break down the numbers into components and convert them into Roman numerals.
300 = CCC
80 = LXXX
Add the components together: 300 + 80 = 380
Using the expansion method: 380 = 300 + 80 = CCCLXXX.
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.