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.
Royal titles often use Roman numerals, such as Henry I, Henry II, etc. Have you noticed these numerals and wondered what these symbols represent? Those are Roman Numerals. Earlier, people used to count using fingers, sticks, bones, etc. 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 used for counting.
In Roman Numerals, we use DCCCXXIV to represent 824, where D is 500, CCC is 300, XX is 20, and IV is 4. 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, DCCCXXIV → D + CCC + XX + IV → 500 + 300 + 20 + 4 = 824
To write a large number, certain Roman Numerals can be repeated up to three times. For example, CCC → 300.
If a small number precedes 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 don't write VVV for 15; instead, we use XV.
Let’s learn how to write 824 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 824 in Roman numerals using the expansion method.
To write 824 in Roman Numerals, follow the steps:
Step 1: Break the number based on place value: ones, tens, hundreds, etc. For 824, we write it as 800 + 20 + 4
Step 2: Convert the number into Roman Numerals:
Step 3: Combine the Roman Numerals together. Therefore, 824 in Roman Numerals is DCCC (800) + XX (20) + IV (4) = DCCCXXIV
When writing a large number in Roman Numerals, we group the number. To write 824 in Roman Numerals, we group 824 as 800 + 20 + 4
So, 824 is written as DCCCXXIV 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 ways to avoid them.
A historian discovers a manuscript stating the empire lasted for DCCCXXIV years. If the empire was founded in the year LXXVI, in what year did it collapse?
The empire collapsed in the year CM.
The duration of the empire was DCCCXXIV years, which is 824 years.
The foundation year was LXXVI, which is 76 in Roman numerals.
To find the collapse year, add the duration to the foundation year: 76 + 824 = 900.
In Roman numerals, 900 is CM.
A scholar is researching ancient texts and finds that there are MMDCCCLX pages in total. If the book is split into CCCLXXX sections with an equal number of pages, how many pages does each section have?
Each section has VIII pages.
To find the number of pages per section, divide the total pages by the number of sections:
MMDCCCLX / CCCLXXX.
MMDCCCLX = 2860 and CCCLXXX = 380.
2860 / 380 = 7.526, which rounds to 8 pages per section.
In Roman numerals, this is VIII.
Calculate the sum of DCCCXXIV and CLXIV.
The sum of DCCCXXIV and CLXIV is CMXCVIII.
First, convert the Roman numerals:
DCCCXXIV = 824 and CLXIV = 164.
824 + 164 = 988, which is CMXCVIII in Roman numerals.
A museum displays artifacts dated back to DCCCXXIV years ago. If it is currently the year MMXXIII, in what year were these artifacts made?
The artifacts were made in the year MCCXCIX.
To find the year the artifacts were made, subtract the age of the artifacts from the current year: MMXXIII - DCCCXXIV.
MMXXIII = 2023, and DCCCXXIV = 824.
2023 - 824 = 1199, which is MCCXCIX in Roman numerals.
Express the sum of 824 and 76 using Roman numerals by breaking it down into parts.
The sum of 824 and 76 in Roman numerals is CM.
First convert each number to Roman numerals:
824 = DCCCXXIV and 76 = LXXVI.
The sum is 824 + 76 = 900.
Using the expansion method: 900 = 900 = CM.
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.