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 so on. Here we will be discussing Roman Numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on, often use Roman Numerals. Have you noticed the names and wondered what these symbols (I and II) represented? Those are Roman Numerals.
Earlier, people used fingers, sticks, bones, etc., to count. When life became more 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. In Roman Numerals, we use CDVI to represent 406.
Here, CD represents 400, and VI represents 6. 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 a larger number. For example, VI → V + I → 5 + 1 = 6.
To write a large number, there are certain Roman Numerals that can be repeated up to three times. For example, III → 3.
If a small number precedes a large number in Roman Numerals, we subtract the smaller number from the larger number. 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 won't write VV for 10; instead, we use X.
Let’s now learn how to write 406 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 406 in Roman numerals using the expansion method.
To write 406 in Roman Numerals, follow these steps:
Step 1: Break down the number based on its place value: hundreds, tens, and ones. For 406, we write it as 400 + 6.
Step 2: Convert each number into Roman Numerals.
400 in Roman Numeral — CD
6 in Roman Numeral — VI
Step 3: Combine the Roman Numerals together. Therefore, 406 in Roman Numeral is CD (400) + VI (6) = CDVI
When writing a large number into Roman Numerals, we group the number. To write 406 in Roman Numeral, we group 406 as 400 + 6.
So, 406 is written as CDVI 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 ways to avoid them.
Convert the Roman numeral CDVI into a sum of two smaller Roman numerals.
The Roman numeral CDVI can be expressed as the sum of CCC and CVI.
To break down CDVI, we identify two smaller components:
CDVI = 406
CCC = 300
CVI = 106
Thus, CDVI is the sum of CCC and CVI, which are 300 and 106, respectively.
A historian is categorizing artifacts and places CDVI artifacts into IV categories. How many artifacts are in each category?
Each category will have CI artifacts.
To find the number of artifacts per category, divide the total number of artifacts by the number of categories:
CDVI / IV = 406 / 4 = 101
101 in Roman numerals is CI.
Calculate the difference between D and CDVI.
The difference between D and CDVI is XCIV.
First, convert the Roman numerals to numbers:
D = 500
CDVI = 406
Subtract CDVI from D: 500 - 406 = 94 94 in Roman numerals is XCIV.
A researcher records CDVI data points in a study, with each data point representing a decade. How many centuries does this represent?
The data points represent IV centuries.
To find the number of centuries, divide the total number of data points by the number of decades in a century:
CDVI / X = 406 / 10 = 40.6
Since each century is a complete set of X decades, the full centuries in 406 decades are IV.
Write the Roman numeral for the sum of CCL and CLVI.
The sum of CCL and CLVI is CDVI.
Convert the Roman numerals to numbers and add them:
CCL = 250
CLVI = 156
250 + 156 = 406
406 in Roman numerals is CDVI.
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.