Last updated on May 26th, 2025
Roman numerals are a way of expressing numbers using symbols. The symbols we use are I, V, X, L, C, D, and M. 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. 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 CCCLXII to represent 362, where CCC is 300, LX is 60, 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, CCCLXII → CCC + LX + II → 300 + 60 + 2 = 362.
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 placed before 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 362 in Roman Numerals. Follow these methods to write the number in Roman Numerals.
By Expansion Method
By Grouping Method
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 362 in Roman numerals using the expansion method.
To write 362 in Roman Numerals, follow the steps:
Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc.
For 362, we write it as 300 + 60 + 2.
Step 2: Converting the number into Roman Numerals:
300 in Roman Numerals — CCC
60 in Roman Numerals — LX
2 in Roman Numerals — II
Step 3: Combining the Roman Numerals together:
Therefore, 362 in Roman Numerals is CCC (300) + LX (60) + II (2) = CCCLXII.
When writing a large number into Roman Numerals, we group the number. To write 362 in Roman Numerals, we group 362 as 300 + 60 + 2.
300 in Roman Numerals — CCC
60 in Roman Numerals — LX
2 in Roman Numerals — II
So, 362 is written as CCCLXII 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 discovers CCCLXII ancient coins and wants to place them in XII equal-sized display cases. How many coins will each display case hold?
Each display case will hold XXX coins.
To find the number of coins per display case, divide the total number of coins by the number of display cases.
CCCLXII = 362
XII = 12
362 / 12 = 30
30 in Roman numerals is XXX.
A scholar is translating a document with CCCX pages, and she completes II pages every day. How many days will it take her to finish the translation?
It will take CLV days.
To find the number of days it takes, divide the total number of pages by the number of pages completed each day.
CCCX = 310
II = 2
310 / 2 = 155
155 in Roman numerals is CLV.
Find the sum of CLXII and CC.
The sum of CLXII and CC is CCCLXII.
Sum is the result of adding two numbers.
CLXII = 162
CC = 200
162 + 200 = 362
362 in Roman numerals is CCCLXII.
What is the difference between CCCLX and XLVIII?
The difference between CCCLX and XLVIII is CCCXII.
The difference of two numbers is the result when subtracting one number from the other.
CCCLX = 360
XLVIII = 48
360 - 48 = 312
312 in Roman numerals is CCCXII.
Write the Roman Numeral for 362 + 18 using the expansion method.
The Roman numeral for 362 + 18 is CCCLXXX.
Step 1: Convert the numbers 362 and 18 into Roman numerals.
362 = CCCLXII
18 = XVIII
Add the numbers together: 362 + 18 = 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.