Last updated on May 26th, 2025
Roman numerals are a method of expressing numbers using symbols. The symbols I, V, X, L, C, D, and M are utilized in this system. Roman numerals are commonly seen in royal titles, book names, sequences, and more. Here, we will be discussing Roman numerals, rules, and examples.
Royal titles, such as Henry I, Henry II, and so forth, utilize Roman numerals. Have you noticed these symbols and wondered about their meanings? These are Roman numerals.
Before this system, people used fingers, sticks, bones, etc., to count. As life became more complex, a standardized counting system was necessary. Ancient Romans devised the Roman numeral system. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) were used.
In Roman numerals, we use CDXXXIII to represent 433, where CD is 400, XXX is 30, and III is 3. Let’s learn more about Roman numerals and how we write them.
Certain basic rules must be followed when writing numbers in Roman numerals. Here, we will discuss some rules to remember.
The addition method is used when a smaller number is placed after a larger number. For example, XXXIII → X + X + X + I + I + I → 30 + 3 = 33
Some numerals can be repeated up to three times. For example, III → 3.
A smaller number before a larger number indicates subtraction. For example, CD → D - C → 500 - 100 = 400
Symbols cannot be repeated more than three times, and certain symbols like V, L, and D cannot be repeated. For example, we do not write VVV for 15; instead, we use XV.
Let’s learn how to write 433 in Roman numerals using different methods.
In the expansion method, a number is broken down based on place value. Here’s how to write 433 in Roman numerals using this method.
Step 1: Break the number based on place value. For 433, we have hundreds, tens, and ones. For 433, we write it as 400 + 30 + 3
Step 2: Convert each number to Roman numerals.
400 in Roman numerals - CD
30 in Roman numerals - XXX
3 in Roman numerals - III
Step 3: Combine the Roman numerals together. Therefore, 433 in Roman numerals is CD (400) + XXX (30) + III (3) = CDXXXIII
When writing large numbers in Roman numerals, we can group them. To write 433 in Roman numerals, group it as 400 + 30 + 3.
So, 433 is written as CDXXXIII in Roman numerals.
Students often make mistakes when writing numbers in Roman numerals. To master Roman numerals, one can learn from common errors and how to avoid them.
A historian finds a document stating that a Roman legion consisted of CDXXXIII soldiers. If each soldier carried III spears, how many spears were there in total?
There were MCCCXCIX spears in total.
To find the total number of spears, multiply the number of soldiers by the number of spears each carried.
CDXXXIII = 433
III = 3
433 × 3 = 1299 1299 in Roman Numerals is MCCCXCIX.
A vineyard has a barrel with a capacity of CDXXXIII liters of wine. If each bottle holds VII liters, how many full bottles can be filled?
The number of full bottles that can be filled is LXI.
To find the number of full bottles, divide the total liters of wine by the capacity of each bottle.
CDXXXIII = 433
VII = 7
433 ÷ 7 = 61 61 in Roman Numerals is LXI.
A treasure chest contains CDXXXIII gold pieces and a second chest contains CCXLVII gold pieces. Find the total number of gold pieces.
The total number of gold pieces is DCLXXX.
Add the number of gold pieces in each chest to find the total.
CDXXXIII = 433
CCXLVII = 247
433 + 247 = 680 680 in Roman Numerals is DCLXXX.
A library has a collection of D books, and a rare section has CDXXXIII books. What is the difference in the number of books between the two sections?
The difference in the number of books is LXVII.
Subtract the number of books in the rare section from the general collection to find the difference.
D = 500
CDXXXIII = 433
500 - 433 = 67 67 in Roman Numerals is LXVII.
Calculate the sum of CCLXV and CLXVIII using the expansion method, and express the result in Roman numerals.
The sum of CCLXV and CLXVIII is CDXXXIII.
Step 1: Convert the numbers to Roman numerals.
CCLXV = 265
CLXVIII = 168
Step 2: Add the numbers together: 265 + 168 = 433
Step 3: Convert 433 to Roman numerals. 433 = CD + XXX + III = CDXXXIII.
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.