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, often 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. 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 XIII to represent 13, where X is 10 and III is 3. 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, XIII → X + III → 10 + 3 = 13.
Rule 2: Repetition Method
To write a large number, certain Roman Numerals can be repeated up to three times. III → 3.
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
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. For 8, we write VIII, not IIIIIIII.
Let’s now learn how to write 13 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 13 in Roman numerals using the expansion method.
To write 13 in Roman Numerals, follow the steps:
Step 1: Break the number based on place value. Place values include ones, tens, hundreds, etc.
For 13, we write it as 10 + 3.
Step 2: Convert the number into Roman Numerals:
10 in Roman Numeral — X
3 in Roman Numeral — III
Step 3: Combine the Roman Numerals together.
Therefore, 13 in Roman Numerals is X (10) + III (3) = XIII.
When writing a number in Roman Numerals, we group the number. To write 13 in Roman Numerals, we group 13 as 10 + 3:
10 in Roman Numeral — X
3 in Roman Numeral — III
So, 13 is written as XIII in Roman Numerals.
Students often 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 XIII and XXIV.
The sum of XIII and XXIV is XXXVII.
In Roman numerals, XIII is 13 and XXIV is 24. The sum of XIII and XXIV is 13 + 24 = 37. 37 in Roman numerals can be written as XXXVII.
A librarian arranges CCCLXXVIII pages of a manuscript in piles of XXIX pages each. Determine how many complete piles can be made.
The number of complete piles is XIII.
To find the number of complete piles, divide the total number of pages by the number of pages per pile.
CCCLXXVIII = 378
XXIX = 29
Therefore, 378 / 29 = 13.
13 in Roman numerals is XIII.
Find the product of XIII and IX.
The product of XIII and IX is CXVII.
In Roman numerals, XIII is 13 and IX is 9. The product of XIII and IX is 13 × 9 = 117. 117 in Roman numerals is written as CXVII.
What is the difference between L and XIII?
The difference between L and XIII is XXXVII.
The difference of two numbers is the result of subtracting one from the other.
L = 50
XIII = 13
50 - 13 = 37
37 in Roman numerals is XXXVII.
Express the sum of XIII and XXXV using the expansion method.
The Roman numeral for 13 + 35 is XLVIII.
Convert the numbers 13 and 35 into Roman numerals:
13 - XIII
35 - XXXV
Add the numbers together: 13 + 35 = 48
Using the expansion method: 48 = 40 + 8 = XLVIII.
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.