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 discuss Roman Numerals, rules, and examples.
Royal titles, such as Henry I, Henry II, and so on, use Roman Numerals. Have you noticed the numbers 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 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 DCXXXV to represent 635. Here, D is 500, C is 100, 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, DCXXXV → D + C + X + X + X + V → 500 + 100 + 10 + 10 + 10 + 5 = 635.
To write a large number, certain Roman Numerals can be repeated up to three times. For example, XXX → 30.
If a smaller number is followed by a larger number in Roman Numerals, we subtract the smaller number from the larger number. 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, VV is not used for 10; instead, we use X, and 8 is written as VIII, not IIIIIIII.
Let’s now learn how to write 635 in Roman Numerals. Follow these methods to write the number in Roman Numerals.
By Expansion Method
By Grouping Method
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 635 in Roman numerals using the expansion method. To write 635 in Roman Numerals, follow the steps:
Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc. For 635, we write it as 600 + 30 + 5.
Step 2: Convert the numbers into Roman Numerals.
600 in Roman Numeral - DC
30 in Roman Numeral - XXX
5 in Roman Numeral - V
Step 3: Combine the Roman Numerals together. Therefore, 635 in Roman Numerals is DC (500 + 100) + XXX (30) + V (5) = DCXXXV.
When writing a large number in Roman Numerals, we group the number.
To write 635 in Roman Numerals, we group 635 as 600 + 30 + 5.
So, 635 is written as DCXXXV in Roman Numerals.
Students make mistakes when writing numbers in Roman Numerals. To master Roman Numerals, we can learn a few common mistakes and ways to avoid them.
Calculate the sum of DCL and XXXV.
The sum of DCL and XXXV is DCLXV.
To find the sum, we add the two numbers.
DCL = 650
XXXV = 35
650 + 35 = 685
685 in Roman Numerals is DCLXV.
A historian finds DCLXXXV ancient coins and wants to distribute them equally among V groups. How many coins does each group receive?
Each group receives CXXXVII coins.
To find the number of coins each group receives, divide the total number of coins by the number of groups.
DCLXXXV = 685
V = 5
685 / 5 = 137
137 in Roman numerals is CXXXVII.
What is the result of subtracting CCXC from DCLXXXV?
The result of subtracting CCXC from DCLXXXV is CCCXCV.
Subtraction is finding the difference between two numbers.
DCLXXXV = 685
CCXC = 290
685 - 290 = 395
395 in Roman Numerals is CCCXCV.
Multiply LXXXV by VII and express the result in Roman numerals.
The product of LXXXV and VII is DXCV.
Multiplication is repeated addition.
LXXXV = 85
VII = 7
85 × 7 = 595
595 in Roman Numerals is DXCV.
Express the result of (CD + CCXXXV) using Roman numerals.
The result of (CD + CCXXXV) is DCXXXV.
Add the two Roman numerals: CD = 400 CCXXXV = 235 400 + 235 = 635 635 in Roman Numerals is DCXXXV.
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.