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. Have you noticed the names and wondered what these symbols (I and II) represented?
Those are Roman numerals. Earlier, people used to count using 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 to count.
In Roman numerals, we use DCCXXII to represent 722, where D is 500, CC is 200, XX is 20, and II is 2. 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, DCCXXII → D + CC + XX + II → 500 + 200 + 20 + 2 = 722.
To write a large number, there are certain Roman numerals that can be repeated up to three times. For example, CC → 200, where C is repeated twice.
If a small number is followed by a large number in Roman numerals, we subtract the smaller number from the larger number. For example, IV → V - I → 5 - 1 = 4.
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 722 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 722 in Roman numerals using the expansion method.
To write 722 in Roman numerals, follow these steps:
Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc.
For 722, we write it as 700 + 20 + 2.
Step 2: Convert the number into Roman numerals:
- 700 in Roman Numerals — DCC
- 20 in Roman Numerals — XX
- 2 in Roman Numerals — II
Step 3: Combine the Roman numerals together:
Therefore, 722 in Roman numerals is DCC (700) + XX (20) + II (2) = DCCXXII.
When writing a large number into Roman numerals, we group the number.
To write 722 in Roman numerals, we group 722 as 700 + 20 + 2.
- 700 in Roman Numerals — DCC
- 20 in Roman Numerals — XX
- 2 in Roman Numerals — II
So, 722 is written as DCCXXII 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.
A historian is cataloging ancient artifacts, and she finds that there are DCCXXII items in a collection. If she wants to divide them equally into two sections, how many items will each section contain?
Each section will contain CCCLXI items.
To find the number of items in each section, we divide the total number of items by 2.
DCCXXII = 722
722 / 2 = 361
361 in Roman Numerals is CCCLXI.
Thus, each section will have CCCLXI items.
A library receives a donation of books, DCCXXII in total. If these books are to be distributed evenly across XXV shelves, how many books will each shelf hold?
Each shelf will hold XXVIII books.
To determine the number of books per shelf, divide the total number of books by the number of shelves.
DCCXXII = 722
XXV = 25
722 / 25 = 28.88, rounded down to 28 for even distribution.
28 in Roman Numerals is XXVIII.
Thus, each shelf will hold XXVIII books.
Find the sum of CCCLXXI and CCCLI.
The sum of CCCLXXI and CCCLI is DCCXXII.
The sum is the result of adding two numbers.
CCCLXXI = 371
CCCLI = 351
371 + 351 = 722
722 in Roman Numerals is DCCXXII.
Thus, the sum of CCCLXXI and CCCLI is DCCXXII.
What is the difference between DCCC and DCCXXII?
The difference between DCCC and DCCXXII is LXXVIII.
The difference is found by subtracting one number from another.
DCCC = 800
DCCXXII = 722
800 - 722 = 78
78 in Roman Numerals is LXXVIII.
Thus, the difference between DCCC and DCCXXII is LXXVIII.
Write the Roman Numeral for 722 + 278 using the expansion method.
The Roman Numeral for 722 + 278 is M.
Step 1: First convert the numbers 722 and 278 into Roman numerals.
722 - DCCXXII
278 - CCLXXVIII
Add the numbers together: 722 + 278 = 1000
Using the expansion method: 1000 = M
Thus, the Roman Numeral for 722 + 278 is 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.