Last updated on May 26th, 2025
Roman numerals are a way 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 be discussing Roman Numerals, rules, and examples.
In royal titles like Henry I, Henry II, and so on, Roman Numerals are used to indicate order. Have you noticed these symbols and wondered what they represent? Those are the Roman Numerals. In earlier times, people used fingers, sticks, and bones to count. As life became more complex, a standard form was needed. Ancient Romans developed the Roman Numeral system for this purpose. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols used to count.
In Roman Numerals, we use CMXL to represent 940, where CM is 900, and XL is 40. 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 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, CCC → 300.
If a small number precedes a larger number in Roman Numerals, we subtract the smaller number from the larger number. For example, IV → V - I → 5 - 1 = 4.
Symbols cannot be repeated more than three times, and certain symbols like V, L, and D cannot be repeated. For example, we won't write VV for 10; instead, we use X.
Let’s now learn how to write 940 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 940 in Roman numerals using the expansion method.
To write 940 in Roman Numerals, follow these steps:
Step 1: Break the number based on place value. Place values are ones, tens, hundreds, etc. For 940, we write it as 900 + 40.
Step 2: Converting the number into Roman Numerals.
Step 3: Combining the Roman Numerals together. Therefore, 940 in Roman Numerals is CM (900) + XL (40) = CMXL.
When writing a large number into Roman Numerals, we group the number. To write 940 in Roman Numerals, we group 940 as 900 + 40.
So, 940 is written as CMXL in Roman Numerals.
Students often make mistakes when writing numbers in Roman Numerals. To master Roman Numerals, we can learn from a few common mistakes and the ways to avoid them.
Calculate the result of CMXL divided by IV.
The result of CMXL divided by IV is CCXXXV.
CMXL in Roman numerals is 940, and IV is 4.
Dividing 940 by 4 gives us 235.
Therefore, 235 in Roman numerals is written as CCXXXV.
A museum has CMXL artifacts to display equally over X rooms. How many artifacts will each room contain?
Each room will contain XCIV artifacts.
To find the number of artifacts per room, divide the total number of artifacts by the number of rooms: CMXL / X.
CMXL is 940, and X is 10.
Therefore, 940 divided by 10 equals 94, which is written in Roman numerals as XCIV.
Find the combined value of DC and CMXL in Roman numerals.
The combined value of DC and CMXL is MDXL.
Adding Roman numerals involves converting them to integers first:
DC is 600 and CMXL is 940.
The sum of 600 and 940 is 1540.
In Roman numerals, 1540 is written as MDXL.
Determine the difference between CMXL and DCCCXXX.
The difference between CMXL and DCCCXXX is CX.
Subtracting DCCCXXX from CMXL involves converting the numerals to integers: CMXL is 940 and DCCCXXX is 830.
The difference is 940 - 830 = 110.
In Roman numerals, 110 is written as CX.
Express the sum of 940 and 50 in Roman numerals using the expansion method.
The Roman numeral for 940 + 50 is CMXC.
Step 1: Convert 940 and 50 to Roman numerals:
940 is CMXL 50 is L
Add the numbers together: 940 + 50 = 990
Using the expansion method, 990 = 900 + 90 = CM + XC = CMXC.
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.