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.
Royal titles, such as Henry I, Henry II, and so on, often include Roman Numerals. Have you noticed these symbols (I and II) and wondered what they represented? Those are 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 CCLII to represent 252. Here, C is 100, L is 50, 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, CCLII → C + C + L + II → 100 + 100 + 50 + 2 = 252
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. 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, and 8 is written as VIII, not IIIIIIII.
Let’s now learn how to write 252 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 252 in Roman numerals using the expansion method.
To write 252 in Roman Numerals, follow the steps:
Step 1: Break the number based on the place value. Place value is ones, tens, hundreds, etc.
For 252, we write it as 200 + 50 + 2.
Step 2: Converting the number into Roman Numerals
200 in Roman Numerals — CC
50 in Roman Numerals — L
2 in Roman Numerals — II
Step 3: Combine the Roman Numerals together.
Therefore, 252 in Roman Numerals is CC (200) + L (50) + II (2) = CCLII
When writing a large number into Roman Numerals, we group the number.
To write 252 in Roman Numerals, we group 252 as 200 + 50 + 2:
200 in Roman Numerals - CC
50 in Roman Numerals - L
2 in Roman Numerals - II
So, 252 is written as CCLII 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 two ancient tablets. One tablet had the number CXXVI and the other had the number CXLVI. Find the sum of the numbers on both tablets.
The sum of CXXVI and CXLVI is CCLXXII
CXXVI = 126
CXLVI = 146
126 + 146 = 272
272 in Roman Numerals is CCLXXII.
Therefore, the sum of CXXVI and CXLVI is CCLXXII.
A librarian needs to distribute DII scrolls evenly among II groups. How many scrolls does each group receive?
Each group receives CCLVI scrolls.
DII = 502
II = 2
To find the number of scrolls each group receives, divide the total number of scrolls by the number of groups:
502 / 2 = 251
251 in Roman numerals is CCLI.
A mathematician is calculating the difference between CCC and XLVIII. What is the result?
The difference between CCC and XLVIII is CCLII.
CCC = 300
XLVIII = 48
300 - 48 = 252
252 in Roman Numerals is CCLII.
A teacher assigns a project to MMM students and wants to give an equal number of pages to each student from a total of DCCCCXLVIII pages. How many pages does each student get?
Each student gets CCXLIX pages.
MMM = 3000
DCCCCXLVIII = 948
Divide the total number of pages by the number of students:
948 / 3000 = 0.316 (which is less than 1, indicating an error in distribution).
Instead, consider a scenario where 948 pages are distributed among 3 students:
948 / 3 = 316
316 in Roman Numerals is CCCXVI.
What is the product of XXI and XII in Roman numerals?
The product of XXI and XII is CCLII.
XXI = 21
XII = 12
21 × 12 = 252
252 in Roman Numerals is CCLII.
Therefore, the product of XXI and XII is CCLII.
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.