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 more. Here we will be discussing Roman numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on, use Roman numerals. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman numerals. Earlier people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was required for counting. 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 CCCLVII to represent 357. Here, CCC is 300, L is 50, and VII is 7. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules for writing 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, VII → V + II → 5 + 2 = 7
Rule 2: Repetition Method
To write a large number, certain Roman numerals can be repeated three times. 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 larger number. For example, XL → L - X → 50 - 10 = 40
Rule 4: Limitation Rule
The symbols cannot be repeated more than three times. Some symbols like V, L, and D cannot be repeated. For example, we won't write VV for 10; instead, we use X. For 8, we write VIII, not IIIIIIII.
Let’s now learn how to write 357 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 357 in Roman numerals using the expansion method.
To write 357 in Roman numerals, follow these steps:
Step 1: Break the number based on place value. Place values are ones, tens, hundreds, etc.
For 357, we write it as 300 + 50 + 7.
Step 2: Convert the number into Roman numerals:
300 in Roman numerals — CCC
50 in Roman numerals — L
7 in Roman numerals — VII
Step 3: Combine the Roman numerals together.
Therefore, 357 in Roman numerals is CCC (300) + L (50) + VII (7) = CCCLVII.
When writing a large number in Roman numerals, we group the number.
To write 357 in Roman numerals, we group 357 as 300 + 50 + 7.
300 in Roman numerals — CCC
50 in Roman numerals — L
7 in Roman numerals — VII
So, 357 is written as CCCLVII in Roman numerals.
Students make mistakes when writing numbers in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.
A historian is organizing CCLVII ancient Roman coins into IX groups. How many coins will each group contain?
Each group will contain XXIX coins.
To find the number of coins per group, we divide the total number of coins by the number of groups.
CCLVII = 257
IX = 9
Therefore, CCLVII / IX = 257 / 9 = 28 remainder 5.
Since we need a whole number, we can say approximately XXIX coins per group, or exactly 28 with a remainder of 5.
Calculate the sum of CLXIV and CXCIII in Roman numerals.
The sum of CLXIV and CXCIII is CCCLVII.
Sum is the result of adding two numbers.
CLXIV = 164
CXCIII = 193
164 + 193 = 357
357 in Roman numerals is CCCLVII.
What is the product of LIX and VI?
The product of LIX and VI is CCCLIV.
In Roman numerals, LIX is 59 and VI is 6. The product of LIX and VI is 59 × 6 = 354. 354 in Roman numerals is CCCLIV.
A library has CCCLVII scrolls and wants to distribute them equally among XLVIII shelves. How many scrolls does each shelf hold?
Each shelf holds VII scrolls.
To find the number of scrolls per shelf, divide the total number of scrolls by the number of shelves.
CCCLVII = 357
XLVIII = 48
Therefore, CCCLVII / XLVIII = 357 / 48 = 7 remainder 21 (approximately VII scrolls per shelf, or exactly 7 with a remainder).
Find the difference between CCCLIX and II.
The difference between CCCLIX and II is CCCLVII.
The difference of two numbers is the value obtained when subtracting one number from the other.
CCCLIX = 359
II = 2
359 - 2 = 357
357 in Roman numerals can be written as CCCLVII.
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.