Last updated on May 26th, 2025
Roman numerals are a way of expressing numbers using symbols: I, V, X, L, C, D, and M. They are used in royal titles, book names, sequences, and more. Here we will discuss Roman Numerals, their rules, and examples.
Royal titles, such as Henry I and Henry II, use Roman numerals to denote order. These symbols (I and II) represent numbers. Early humans counted using fingers, sticks, and bones. As life became more complex, a standard counting system was required.
Ancient Romans developed the Roman numeral system. The symbols used are I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). In Roman numerals, 731 is written as DCCXXXI, where D is 500, CC is 200, XXX is 30, and I is 1.
Let’s learn more about Roman numerals and how we write them.
There are certain basic rules to write numbers in Roman numerals. In this section, let’s discuss some rules that need to be remembered when writing numbers in Roman numerals.
The addition method is used when a smaller number is placed after a larger number. For example, DCC → D + CC → 500 + 200 = 700.
Some Roman numerals can be repeated up to three times. For example, XXX → 30.
If a smaller number is placed before a larger number, it is subtracted. For example, IX → X - I → 10 - 1 = 9.
Symbols cannot be repeated more than three times. Some symbols, like V, L, and D, cannot be repeated. For example, we don't write VV for 10; instead, we use X.
Let’s learn how to write 731 in Roman numerals. Follow these methods:
In the expansion method, numbers are broken down based on place value. Here’s how to write 731 in Roman numerals using this method.
Step 1: Break down the number based on place value. 731 = 700 + 30 + 1
Step 2: Convert each number into Roman numerals.
Step 3: Combine the Roman numerals. Therefore, 731 in Roman numerals is DCC (700) + XXX (30) + I (1) = DCCXXXI.
When writing large numbers in Roman numerals, group them. To write 731, group as 700 + 30 + 1.
So, 731 is written as DCCXXXI in Roman numerals.
Students often make mistakes when writing numbers in Roman numerals. To master Roman numerals, learn common mistakes and how to avoid them.
A historian found a manuscript from year DCCXXXI and another from year DCCXL. Calculate the years between the two manuscripts.
The number of years between the two manuscripts is IX.
To find the difference between the years, subtract the smaller year from the larger year.
DCCXL = 740
DCCXXXI = 731
740 - 731 = 9
9 in Roman Numerals can be written as IX.
A library received DCCXXXI new books and decided to distribute them equally among X shelves. How many books will each shelf contain?
Each shelf will contain LXXIII books.
To find the number of books per shelf, divide the total number of books by the number of shelves.
DCCXXXI = 731
X = 10
731 / 10 = 73
73 in Roman Numerals can be written as LXXIII.
Calculate the sum of CCC and DCCXXXI.
The sum of CCC and DCCXXXI is MXXXI.
Sum is the result of adding two numbers.
CCC = 300
DCCXXXI = 731
300 + 731 = 1031
1031 in Roman Numerals is MXXXI.
A collection of ancient coins includes XXVII coins from year DCCXXXI and X coins from year DCCXL. How many coins are there in total?
There are XXXVII coins in total.
To find the total number of coins, add the quantities from each year.
XXVII = 27
X = 10
27 + 10 = 37
37 in Roman Numerals can be written as XXXVII.
Write the Roman Numeral for 731 - 47 using the expansion method.
The Roman numeral for 731 - 47 is DCLXXXIV.
Step 1: First convert the numbers 731 and 47 into Roman numerals.
731 - DCCXXXI
47 - XLVII
Subtract the numbers: 731 - 47 = 684
Using the expansion method: 684 = 600 + 80 + 4 = DCLXXXIV.
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.