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 be discussing Roman numerals, rules, and examples.
The royal titles, such as Henry VIII, Henry IX, and so on. Have you noticed the names and wondered what these symbols (VIII and IX) represented? Those are the Roman numerals.
In ancient times, people used to count using fingers, sticks, bones, etc. As 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 used to count.
In Roman numerals, we use DCXL to represent 640, where D is 500, C is 100, X is 10, and L is 50. 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, DCXL → D + C + XL → 500 + 100 + 40 = 640.
To write a large number, certain Roman numerals can be repeated up to three times. For example, CCC → 300.
If a smaller number is placed before a larger number in Roman numerals, we subtract the smaller number from the larger number. For example, XL → L - X → 50 - 10 = 40.
The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, instead of writing LLL for 150, we use CL.
Let’s now learn how to write 640 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 640 in Roman numerals using the expansion method. To write 640 in Roman numerals, follow the steps:
Step 1: Break the number based on place value. Place values are ones, tens, hundreds, etc. For 640, we write it as 600 + 40.
Step 2: Convert the number into Roman numerals.
600 in Roman numeral - DC
40 in Roman numeral - XL
Step 3: Combine the Roman numerals together. Therefore, 640 in Roman numerals is DC (600) + XL (40) = DCXL.
When writing a large number in Roman numerals, we group the number. To write 640 in Roman numerals, we group 640 as 600 + 40.
So, 640 is written as DCXL 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 total value of DCXL apples divided equally among VIII baskets.
Each basket will contain LXXX apples.
To find the number of apples in each basket, divide the total number of apples by the number of baskets.
DCXL = 640
VIII = 8
Therefore, 640 / 8 = 80. 80 in Roman Numerals is LXXX.
A historian is examining DLX ancient coins and wants to categorize them into groups of XL coins each. How many full groups will he have?
He will have XIV full groups.
To find the number of full groups, divide the total number of coins by the number of coins per group.
DLX = 560
XL = 40
Therefore, 560 / 40 = 14. 14 in Roman Numerals is XIV.
A collector purchased CCCXC paintings and plans to add CCXL more to his collection. What will be the total number of paintings in his collection?
The total number of paintings will be DCXXX.
To find the total number of paintings, add the two amounts.
CCCXC = 390
CCXL = 240
390 + 240 = 630
630 in Roman Numerals is DCXXX.
A building has XXXII floors, and each floor contains XX apartments. Calculate the total number of apartments in the building.
The total number of apartments in the building is DCXL.
To find the total number of apartments, multiply the number of floors by the number of apartments per floor.
XXXII = 32
XX = 20
32 × 20 = 640
640 in Roman Numerals is DCXL.
Convert the difference between DCCC and CLX to Roman numerals.
The difference is DCXL.
The difference of two numbers is the value we get when subtracting one number from the other.
DCCC = 800
CLX = 160
800 - 160 = 640
640 in Roman Numerals is DCXL.
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.