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 employ Roman numerals. Have you noticed these titles and wondered what these symbols (I and II) represented? Those are Roman Numerals.
Earlier civilizations used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was required for counting. Ancient Romans used the Roman Numeral system. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used for this purpose.
In Roman Numerals, we use DCCLXXV to represent 775, where D is 500, C is 100, L is 50, X is 10, and V is 5. 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. For example, XV → X + V → 10 + 5 = 15
To write a large number, some Roman Numerals can be repeated up to three times. For example, XXX → 30.
If a smaller number is followed by a larger 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 for 8, we write VIII, not IIIIIIII.
Let’s now learn how to write 775 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 775 in Roman numerals using the expansion method. To write 775 in Roman Numerals, follow the steps:
Step 1: Break the number based on the place value. Place value refers to ones, tens, hundreds, etc. For 775, we write it as 700 + 70 + 5
Step 2: Converting the number into Roman Numerals
Step 3: Combining the Roman Numerals together. Therefore, 775 in Roman Numerals is DCC (700) + LXX (70) + V (5) = DCCLXXV
When writing a large number into Roman Numerals, we group the number. To write 775 in Roman Numerals, we group 775 as 700 + 70 + 5
So, 775 is written as DCCLXXV 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 the ways to avoid them.
Calculate the quotient of DCCLXXV divided by V.
The quotient of DCCLXXV divided by V is CLV.
In Roman numerals, DCCLXXV is 775 and V is 5.
The division of 775 by 5 gives us 155.
155 in Roman numerals can be written as CLV.
A historian finds DCCCL books and decides to distribute them equally among C students. How many books does each student receive?
Each student receives VIII books.
To find the number of books each student receives, divide the total number of books by the number of students.
DCCCL = 850
C = 100
850 / 100 = 8.5 (but since books cannot be split, each receives 8 whole books). VIII in Roman numerals is 8.
Find the sum of DCCLXXV and XLV.
The sum of DCCLXXV and XLV is DCCCXX.
The sum is the result of adding two numbers.
DCCLXXV = 775
XLV = 45
775 + 45 = 820
820 in Roman numerals is DCCCXX.
The sum of DCCLXXV and XLV is DCCCXX.
What is the difference between DCCC and DCCLXXV?
The difference between DCCC and DCCLXXV is XXV.
The difference of two numbers is the value obtained by subtracting one from the other.
DCCC = 800
DCCLXXV = 775
800 - 775 = 25
25 in Roman numerals is XXV.
Write the Roman numeral for the sum of 375 and 400 using the expansion method.
The Roman numeral for the sum of 375 and 400 is DCCLXXV.
Step 1: Convert the numbers 375 and 400 into Roman numerals.
375 - CCCLXXV
400 - CD
Add the numbers together: 375 + 400 = 775
Using the expansion method: 775 = 700 + 70 + 5 = DCCLXXV.
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.