Last updated on May 26th, 2025
Roman numerals are a method 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, use Roman Numerals. Have you noticed the names and wondered what these symbols represent?
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 DCCCXXXI to represent 831, where D is 500, C is 100, X is 10, 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.
The addition method is used when the smaller number is placed after the larger number. For example, DCCCXXXI → D + C + C + C + X + X + I → 500 + 100 + 100 + 100 + 10 + 10 + 1 = 831
To write a large number, certain Roman Numerals can be repeated three times. For example, CCC → 300.
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
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 831 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 831 in Roman numerals using the expansion method.
To write 831 in Roman Numerals, follow these steps:
Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc.
For 831, we write it as 800 + 30 + 1.
Step 2: Converting the number into Roman Numerals
800 in Roman Numerals — DCCC
30 in Roman Numerals — XXX
1 in Roman Numerals — I
Step 3: Combine the Roman Numerals together.
Therefore, 831 in Roman Numerals is DCCC + XXX + I = DCCCXXXI
When writing a large number into Roman Numerals, we group the number.
To write 831 in Roman Numerals, we group 831 as 800 + 30 + 1.
800 in Roman Numerals — DCCC
30 in Roman Numerals — XXX
1 in Roman Numerals — I
So, 831 is written as DCCCXXXI in Roman Numerals.
Students often make mistakes when writing numbers in Roman Numerals. To master Roman Numerals, we can learn a few common mistakes and the ways to avoid them.
Find the product of DCCCXXXI and II.
The product of DCCCXXXI and II is MDCLXII.
In Roman numerals, DCCCXXXI is 831 and II is 2.
The product of DCCCXXXI and II is 831 × 2 = 1662.
1662 in Roman numerals can be written as MDCLXII.
A historian has DCCCXXXI ancient coins to distribute equally among V collectors. How many coins does each collector receive?
Each collector will receive CLXVI coins.
To find the number of coins each collector receives, divide the total number of coins by the number of collectors.
DCCCXXXI = 831
V = 5 831 ÷ 5 = 166
166 in Roman numerals can be written as CLXVI.
Find the sum of DCCC and XXXI.
The sum of DCCC and XXXI is DCCCXXXI.
The sum is the result of adding two numbers.
DCCC = 800
XXXI = 31
800 + 31 = 831
831 in Roman numerals is DCCCXXXI.
The sum of DCCC and XXXI is DCCCXXXI.
What is the difference between DCCCXXXI and XXXI?
The difference between DCCCXXXI and XXXI is DCCC.
The difference of two numbers is the value obtained by subtracting one number from the other.
DCCCXXXI = 831
XXXI = 31
831 - 31 = 800
800 in Roman numerals can be written as DCCC.
Write the Roman numeral for 831 + 19 using the expansion method.
The Roman numeral for 831 + 19 is DCCCL.
Step 1: Convert the numbers 831 and 19 into Roman numerals.
831 - DCCCXXXI
19 - XIX
Add the numbers together: 831 + 19 = 850
Using the expansion method: 850 = 800 + 50 = DCCCL.
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.