Last updated on May 26th, 2025
Roman numerals are a way of expressing numbers using symbols. The symbols I, V, X, L, C, D, and M are used. Roman numerals are found in royal titles, book names, sequences, and more. Here, we will be discussing Roman numerals, rules, and examples.
In royal titles, such as Henry I, Henry II, and so on, Roman numerals are used to denote order. Earlier people counted using fingers, sticks, bones, etc. As life became more complex, a standardized counting system was required. 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 used in this system.
In Roman numerals, we use CXXIV to represent 124. Here, C is 100, XX is 20, and IV is 4. 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 a smaller number is placed after a larger number. For example, CXXIV → C + XX + IV → 100 + 20 + 4 = 124
Rule 2: Repetition Method
To write a large number, there are certain Roman numerals that can be repeated up to three times. For example, XXX → 30.
Rule 3: Subtraction Method
If a small number is followed by a large number in Roman numerals, we subtract the smaller number from the larger number. For example, IV → V - I → 5 - 1 = 4
Rule 4: Limitation Rule
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 LL for 100; instead, we use C. For 8, we write VIII, not IIIIIIII.
Let’s now learn how to write 124 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 124 in Roman numerals using the expansion method.
To write 124 in Roman numerals, follow these steps:
Step 1: Break the number based on place value into hundreds, tens, and units.
For 124, we write it as 100 + 20 + 4.
Step 2: Convert the numbers into Roman numerals.
100 in Roman numerals — C
20 in Roman numerals — XX
4 in Roman numerals — IV
Step 3: Combine the Roman numerals together.
Therefore, 124 in Roman numerals is C (100) + XX (20) + IV (4) = CXXIV
When writing a large number in Roman numerals, we group the number. To write 124 in Roman numerals, we group it as 100 + 20 + 4.
100 in Roman numerals — C
20 in Roman numerals — XX
4 in Roman numerals — IV
So, 124 is written as CXXIV 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.
A historian is cataloging CXXIV ancient artifacts and wants to divide them equally among IV museums. How many artifacts will each museum receive?
Each museum will receive XXXI artifacts.
To determine how many artifacts each museum receives, divide the total number of artifacts by the number of museums.
CXXIV = 124
IV = 4
124 ÷ 4 = 31
31 in Roman Numerals is XXXI.
Calculate the sum of LXXVII and XLVII in Roman numerals.
The sum of LXXVII and XLVII is CXXIV.
Sum is the result of adding two numbers.
LXXVII = 77
XLVII = 47
77 + 47 = 124
124 in Roman Numerals is CXXIV.
Thus, the sum of LXXVII and XLVII is CXXIV.
A group of scholars found that the height of an ancient column is LXXXVII feet and need to add an additional XXXVII feet to restore it to its original height. What will be the total height of the column after restoration?
The total restored height of the column is CXXIV feet.
Add the current height of the column to the additional height required for restoration.
LXXXVII = 87
XXXVII = 37
87 + 37 = 124
124 in Roman Numerals is CXXIV.
Therefore, the total restored height is CXXIV feet.
If a treasure chest contains CLXVI gold coins, and a pirate takes away XLII coins, how many coins are left in the chest?
The number of coins left in the chest is CXXIV
Subtract the number of coins taken from the total number of coins.
CLXVI = 166
XLII = 42
166 - 42 = 124
124 in Roman Numerals is CXXIV.
Thus, the number of coins left in the chest is CXXIV.
Express the difference between CC and LXXVI using Roman numerals.
The difference between CC and LXXVI is CXXIV.
The difference of two numbers is the result of subtracting one number from another.
CC = 200
LXXVI = 76
200 - 76 = 124
124 in Roman Numerals is CXXIV.
Hence, the difference between CC and LXXVI is CXXIV.
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.