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 more. Here we will discuss Roman numerals, rules, and examples.
Royal titles such as Henry I, Henry II, and so on often include Roman numerals. Have you noticed the symbols and wondered what they represent? These are Roman numerals. Early people used fingers, sticks, bones, etc., to count. As life became more complex, a standardized system was needed.
The ancient Romans developed the Roman numeral system. We use I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) to count. In Roman numerals, we use DCCXLIII to represent 743, where D is 500, CC is 200, XL is 40, 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.
The addition method is used when the smaller number is placed after the larger number. For example, VI → V + I → 5 + 1 = 6
To write larger numbers, certain Roman numerals can be repeated up to three times. For example, III → 3.
If a smaller numeral precedes a larger numeral, subtract the smaller from the larger. For example, IV → V - I → 5 - 1 = 4
The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we don't write VV for 10; instead, we use X. Similarly, 8 is written as VIII, not IIIIIIII.
Let’s learn how to write 743 in Roman numerals. Follow these methods to write the number in Roman numerals:
In the expansion method, a number is broken down based on place value. In this section, we will learn how to write 743 in Roman numerals using the expansion method. To write 743 in Roman numerals, follow these steps:
Step 1: Break the number based on place value: hundreds, tens, and ones. For 743, we write it as 700 + 40 + 3.
Step 2: Convert the number into Roman numerals.
Step 3: Combine the Roman numerals together. Therefore, 743 in Roman numerals is DCC + XL + III = DCCXLIII
When writing a large number in Roman numerals, we group the numbers. To write 743 in Roman numerals, we group 743 as 700 + 40 + 3.
So, 743 is written as DCCXLIII 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 ways to avoid them.
Combine the amounts represented by CCCLXXI and CCCLXXII in Roman numerals.
The combination of CCCLXXI and CCCLXXII is DCCXLIII.
CCCLXXI is 371 and CCCLXXII is 372. Adding these two gives us 371 + 372 = 743. In Roman numerals, 743 is written as DCCXLIII.
A historian found DCCXLIII old coins and wants to distribute them equally among VII explorers. How many coins does each explorer receive?
Each explorer receives CVI coins.
To find the number of coins each explorer receives, divide DCCXLIII by VII.
DCCXLIII = 743
VII = 7
743 / 7 = 106
106 in Roman Numerals is CVI.
Calculate the difference between M and DCCXLIII in Roman numerals.
The difference between M and DCCXLIII is CCLVII.
M is 1000 and DCCXLIII is 743. Subtracting these gives 1000 - 743 = 257. In Roman numerals, 257 is written as CCLVII.
Write the Roman Numeral for the sum of CCC and CCCCXLIII using the expansion method.
The Roman numeral for the sum of CCC and CCCCXLIII is DCCXLIII.
Step 1: Convert the numbers into Roman numerals.
CCC = 300
CCCCXLIII = 443
Add the numbers together: 300 + 443 = 743.
Using the expansion method: 700 + 40 + 3 = DCCXLIII.
A sculpture weighs DCCXLIII pounds and another weighs CCXL pounds. Find the total weight in Roman numerals.
The total weight is CMVIII pounds.
DCCXLIII is 743 and CCXL is 240. Adding these gives 743 + 240 = 983. In Roman numerals, 983 is written as CMVIII.
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.