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.
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 CCCLXXXII to represent 382, where CCC is 300, LXXX is 80, and II is 2. 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. For example, LXXXII → L + X + X + I + I → 50 + 10 + 10 + 1 + 1 = 72.
Rule 2: Repetition Method
To write a large number, there are certain Roman Numerals that 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. For example, IX → X - I → 10 - 1 = 9.
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 VV for 10; instead, we use X.
Let’s now learn how to write 382 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 382 in Roman numerals using the expansion method.
To write 382 in Roman Numerals, follow the steps:
Step 1: The number is broken down based on the place value. Place values are ones, tens, hundreds, etc.
For 382, we write it as 300 + 80 + 2.
Step 2: Converting the number into Roman Numerals:
- 300 in Roman Numeral — CCC
- 80 in Roman Numeral — LXXX
- 2 in Roman Numeral — II
Step 3: Combining the Roman Numerals together:
Therefore, 382 in Roman Numeral is CCC (300) + LXXX (80) + II (2) = CCCLXXXII.
When writing a large number into Roman Numerals, we group the number.
To write 382 in Roman Numerals, we group 382 as 300 + 80 + 2:
- 300 in Roman Numeral — CCC
- 80 in Roman Numeral — LXXX
- 2 in Roman Numeral — II
So, 382 is written as CCCLXXXII 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.
Calculate the sum of CCXL and CXLII.
The sum of CCXL and CXLII is CCCLXXXII.
To find the sum, add the two numbers.
CCXL = 240
CXLII = 142
240 + 142 = 382
382 in Roman Numerals is CCCLXXXII.
A historian is cataloging artifacts and finds CCCLXXXII coins in a chest. If he wants to distribute them equally among X scholars, how many coins will each scholar receive?
Each scholar will receive XXXVIII coins.
Divide the total number of coins by the number of scholars.
CCCLXXXII / X = 382 / 10 = 38
38 in Roman Numerals is XXXVIII.
A builder has CCCLXXXII bricks and plans to use them to construct a wall. If each row of the wall requires XXXIV bricks, how many complete rows can be built?
The builder can construct XI complete rows.
Divide the total number of bricks by the number of bricks per row.
CCCLXXXII / XXXIV = 382 / 34 = 11
11 in Roman Numerals is XI.
What is the difference between CCCC and CCCLXXXII?
The difference is XVIII.
Subtract the smaller number from the larger number.
CCCC = 400
CCCLXXXII = 382
400 - 382 = 18
18 in Roman Numerals is XVIII.
Write the Roman Numeral for 200 + 182 using the expansion method.
The Roman Numeral for 200 + 182 is CCCLXXXII.
Step 1: Convert the numbers 200 and 182 into Roman numerals.
200 - CC
182 - CLXXXII
Add the numbers together: 200 + 182 = 382
Using expansion method: 382 = 300 + 80 + 2 = CCCLXXXII.
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.