Last updated on May 26th, 2025
Roman numerals are the 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 CCLXVIII to represent 268, 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 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, VIII → V + III → 5 + 3 = 8
Rule 2: Repetition Method
To write a large number, there are certain Roman Numerals that can be repeated three times. XXX → 30.
Rule 3: Subtraction Method
If a smaller number is followed by a larger number in Roman Numerals, we subtract the smaller number from the larger number; it is a subtraction method. For example, IV → V - I → 5 - 1 = 4
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 we write as VIII not IIIIIIII.
Let’s now learn how to write 268 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 268 in Roman numerals using the expansion method.
To write 268 in Roman Numerals, follow the steps:
Step 1: The number is broken based on the place value: ones, tens, hundreds, etc.
For 268, we write it as 200 + 60 + 8
Step 2: Converting the number into Roman Numerals:
200 in Roman Numeral — CC
60 in Roman Numeral — LX
8 in Roman Numeral — VIII
Step 3: Combining the Roman Numerals together:
Therefore, 268 in Roman Numeral is CC (200) + LX (60) + VIII (8) = CCLXVIII
When writing a large number into Roman Numerals, we group the number.
To write 268 in Roman Numeral, we group 268 as 200 + 60 + 8.
200 in Roman Numeral — CC
60 in Roman Numeral — LX
8 in Roman Numeral — VIII
So, 268 is written as CCLXVIII 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 wants to distribute DCCLVI ancient coins equally among XXVIII museums. How many coins will each museum receive?
Each museum will receive XXVII coins.
To determine how many coins each museum receives, divide the total number of coins by the number of museums.
DCCLVI = 756
XXVIII = 28
756 / 28 = 27
27 in Roman numerals is XXVII.
Calculate the sum of CXLII and CXXVI.
The sum of CXLII and CXXVI is CCLXVIII.
Sum is the result of adding two numbers.
CXLII = 142
CXXVI = 126
142 + 126 = 268
268 in Roman Numerals is CCLXVIII.
Find the product of XIII and XXVI.
The product of XIII and XXVI is CCCXXXVIII.
XIII = 13
XXVI = 26
13 × 26 = 338
338 in Roman Numerals is CCCXXXVIII.
What is the difference between CCCXL and LXXII?
The difference between CCCXL and LXXII is CCLXVIII.
The difference of two numbers is the value we get when subtracting one number from another.
CCCXL = 340
LXXII = 72
340 - 72 = 268
268 in Roman Numerals is CCLXVIII.
Write the Roman Numeral for 128 + 140 using the expansion method.
The Roman numeral for 128 + 140 is CCLXVIII.
Step 1: Convert the numbers 128 and 140 into Roman numerals.
128 - CXXVIII
140 - CXL
Add the numbers together: 128 + 140 = 268
Using the expansion method: 268 = 200 + 60 + 8 = CCLXVIII.
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.