Last updated on May 26th, 2025
Roman numerals are the 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 so on. Here we will be discussing Roman Numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on, use Roman Numerals. Have you noticed these symbols and wondered what they represented? Those are the Roman Numerals.
Earlier people used to count using fingers, sticks, bones, etc. When life became complex, a standard form was required to count. 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 we use to count.
In Roman Numerals, we use CDL to represent 450, where C is 100, D is 500, and L is 50. 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 a smaller number is placed after the larger number. For example, XVI → X + V + I → 10 + 5 + 1 = 16
To write a large number, certain Roman Numerals can be repeated up to three times. For example, CCC → 300.
If a small number precedes a large number in Roman Numerals, we subtract the smaller number from the large number. For example, XL → L - X → 50 - 10 = 40
The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we write 10 as X, not VV, and 8 as VIII, not IIIIIIII.
Let’s now learn how to write 450 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 450 in Roman numerals using the expansion method. To write 450 in Roman Numerals, follow the steps:
Step 1: Break the number based on the place value, such as ones, tens, hundreds, etc. For 450, we write it as 500 - 50
Step 2: Converting the number into Roman Numerals 500 in Roman Numeral — D 50 in Roman Numeral — L
Step 3: Using the subtraction method as 50 precedes 500. Therefore, 450 in Roman Numeral is D - L = CDL
When writing a large number into Roman Numerals, we group the number. To write 450 in Roman Numerals, we group 450 as 500 - 50.
So, 450 is written as CDL in Roman Numerals.
Students make mistakes when writing a number in Roman Numerals. To master Roman Numerals, we can learn a few common mistakes and the ways to avoid them.
Calculate the quotient of MCM and CD.
The quotient of MCM and CD is IV.
In Roman numerals, MCM is 1900 and CD is 400.
The quotient of MCM and CD is 1900 ÷ 400 = 4.
In Roman numerals, 4 can be written as IV.
A historian is organizing a collection of CDXL ancient artifacts equally into XLV display cases. How many artifacts will each case contain?
Each display case will contain X artifacts.
To determine how many artifacts each display case will contain, you divide the total number of artifacts by the total number of display cases.
CDXL = 440 XLV = 45
440 ÷ 45 = 9 with a remainder, but since we're using Roman numerals, we round to the nearest whole number.
9 in Roman numerals is IX.
Add the amounts represented by CCC and CL to represent an ancient treasure's value.
The combined value of CCC and CL is CDL.
To find the total value, add CCC (300) and CL (150).
300 + 150 = 450
450 in Roman numerals is CDL.
What is the difference between D and CD?
The difference between D and CD is L.
The difference between two numbers is found by subtracting the smaller number from the larger one.
D = 500 CD = 400
500 - 400 = 100
100 in Roman numerals is C.
Express the sum of CCXL and CCX using Roman numerals.
The sum of CCXL and CCX is CDL.
First, convert the Roman numerals to their numeric values.
CCXL = 240
CCX = 210
Add the numbers: 240 + 210 = 450
450 in Roman numerals is CDL.
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.