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. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman Numerals.
Earlier people used to count using fingers, sticks, bones, etc., to count earlier. 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 DCCLXVI to represent 766, here D is 500, C is 100, L is 50, X is 10, V is 5, and I is 1. 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 the smaller number is placed after the larger number, then it is the addition method. For example, DCCLXVI → D + C + C + L + X + V + I → 500 + 100 + 100 + 50 + 10 + 5 + 1 = 766
To write a large number, there are certain Roman Numerals that can be repeated three times. III → 3.
If a small number is followed by a large number in Roman Numerals, we subtract the smaller number from the large number. It is a subtraction method. For example, IX → X - I → 10 - 1 = 9
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, and 8 we write as VIII, not IIIIIIII.
Let’s now learn how to write 766 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 766 in Roman numerals using the expansion method. To write 766 in Roman Numerals, follow the steps,
Step 1: Break the number based on the place value. Place value that is ones, tens, hundreds, etc. For 766, we write it as 700 + 60 + 6
Step 2: Converting the number into Roman Numerals
Step 3: Combining the Roman Numerals together. Therefore, 766 in Roman Numerals is DCC (700) + LX (60) + VI (6) = DCCLXVI
When writing a large number in Roman Numerals, we group the number. To write 766 in Roman Numerals, we group 766 as 500 + 100 + 100 + 50 + 10 + 5 + 1
So, 766 is written as DCCLXVI 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.
Multiply DCCLXVI by II and express the result in Roman numerals.
The product of DCCLXVI and II is MDCCCXXXII.
In numbers, DCCLXVI is 766 and II is 2.
The product of DCCLXVI and II is 766 × 2 = 1532.
1532 in Roman Numerals is MDCCCXXXII.
A library has MCMXXXII books and wants to distribute them evenly among two groups of DCCLXVI students. How many books will each student receive?
Each student will receive I book.
To find the number of books each student gets, divide the total number of books by the total number of students.
MCMXXXII = 1932
DCCLXVI = 766
1932 / 766 = 2 remainder 400 Each student will receive 2 books.
However, since there is a remainder, only 1 complete book can be evenly distributed per student.
Add DCCLXVI to CDXLIV and provide the result in Roman numerals.
The sum of DCCLXVI and CDXLIV is MCCX.
The sum is the result of adding two numbers.
DCCLXVI = 766
CDXLIV = 444
766 + 444 = 1210
1210 in Roman Numerals is MCCX.
The sum of DCCLXVI and CDXLIV is MCCX.
What is the difference between M and DCCLXVI?
The difference between M and DCCLXVI is CCXXXIV.
The difference of two numbers is the value obtained when subtracting one number from the other.
M = 1000
DCCLXVI = 766
1000 - 766 = 234
234 in Roman Numerals is CCXXXIV.
Express the sum of 766 and 234 using the expansion method in Roman numerals.
The sum of 766 and 234 is M.
Step 1: Convert the numbers 766 and 234 into Roman numerals.
766 - DCCLXVI
234 - CCXXXIV
Add the numbers together: 766 + 234 = 1000
Using the expansion method: 1000 = M
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.