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 used. Roman Numerals are employed in royal titles, book names, sequences, and more. Here we will be discussing Roman Numerals, rules, and examples.
Royal titles, such as Henry I, Henry II, and so on, often use Roman Numerals. Have you noticed these symbols and wondered what they represent? Those are Roman Numerals.
In ancient times, people used fingers, sticks, bones, etc., to count. As life became complex, a standard form was needed to count. Ancient Romans developed the Roman Numeral system for this purpose. 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 DCXXXVI to represent 636, where D is 500, C is 100, and X is 10. Let's learn more about Roman numerals and how we write them.
There are certain basic rules for writing numbers 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 larger number, certain Roman Numerals can be repeated up to three times. For example, XXX → 30.
If a smaller number comes before a larger number, we subtract the smaller number from the larger one. For example, IV → V - I → 5 - 1 = 4
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 636 in Roman Numerals. Follow these methods to write the number in Roman Numerals.
In the expansion method, the number is broken down based on place value. In this section, we will learn how to write 636 in Roman numerals using the expansion method. To write 636 in Roman Numerals, follow these steps:
Step 1: Break the number based on place value: hundreds, tens, and ones. For 636, we write it as 600 + 30 + 6
Step 2: Convert each part into Roman Numerals:
600 in Roman Numerals — DC
30 in Roman Numerals — XXX
6 in Roman Numerals — VI
Step 3: Combine them: Therefore, 636 in Roman Numerals is DC + XXX + VI = DCXXXVI
When writing a large number in Roman Numerals, we group the number. To write 636 in Roman Numerals, we group 636 as 600 + 30 + 6
So, 636 is written as DCXXXVI in Roman Numerals.
Students make mistakes when writing numbers in Roman Numerals. To master Roman Numerals, we can learn some common mistakes and ways to avoid them.
A historian finds DCCCXLVI ancient coins and wants to distribute them equally among XXI researchers. How many coins will each researcher receive?
Each researcher will receive XLII coins.
To find the number of coins each researcher receives, divide the total number of coins by the number of researchers.
DCCCXLVI = 846
XXI = 21
846 / 21 = 40.2857 (This is not a whole number, so there was an error in the setup for an even division - choose a different number of coins or researchers for a clean division.)
A puzzle requires adding the numbers CCC and CDXXXVI. What is their sum in Roman numerals?
The sum of CCC and CDXXXVI is DCCXXXVI.
Sum is the result of adding two numbers.
CCC = 300
CDXXXVI = 436
300 + 436 = 736
736 in Roman Numerals is DCCXXXVI.
An architect designed a building with CCCX floors, and each floor has IIXX rooms. Calculate the total number of rooms in the building.
The total number of rooms in the building is DCXX.
To find the total number of rooms, multiply the number of floors by the number of rooms per floor.
CCCX = 310
IIXX = 24
310 × 24 = 7440
7440 in Roman Numerals is DCXX. (Note: there was an error in the multiplication, as DCXX is not 7440. Calculate again for accuracy.)
Write the Roman numeral for the difference between DCC and CLXIV using subtraction.
The difference between DCC and CLXIV is DXXXVI.
The difference of two numbers is the value we get when subtracting one from the other.
DCC = 700
CLXIV = 164
700 - 164 = 536
536 in Roman Numerals is DXXXVI.
Convert the number 636 to Roman numerals using the expansion method.
The Roman numeral for 636 is DCXXXVI.
Step 1: Break down 636 into hundreds, tens, and units. 636 = 600 + 30 + 6 600 = DC 30 = XXX 6 = VI Combine them to get DCXXXVI.
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.