Last updated on May 26th, 2025
Roman numerals are a way of expressing numbers using symbols: I, V, X, L, C, D, and M. They are used in various contexts such as royal titles, book names, and sequences. Here we will discuss Roman numerals, rules, and examples.
In royal titles, such as Henry I or Henry II, Roman numerals are used to denote order. Have you ever wondered what these symbols (like I, II) represent? They are Roman numerals. Ancient Romans developed this system to count, using symbols like I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).
In Roman numerals, 825 is represented as DCCCXXV. D is 500, CCC is 300, XX is 20, 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. Let's discuss some basic rules to remember when writing numbers in Roman numerals.
The addition method is used when a smaller number is placed after a larger number, indicating addition. For example, DCCCXXV → D + CCC + XX + V → 500 + 300 + 20 + 5 = 825
Certain Roman numerals can be repeated up to three times to form larger numbers. For example, CCC → 300.
If a smaller number precedes a larger number, it is subtracted. For example, IX → X - I → 10 - 1 = 9
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 learn how to write 825 in Roman numerals using different methods.
In the expansion method, numbers are broken down based on place value. Here’s how to write 825 in Roman numerals using this method.
Step 1: Break down the number based on place value: hundreds, tens, and ones. 825 = 800 + 20 + 5
Step 2: Convert each part into Roman numerals:
Step 3: Combine them together: Therefore, 825 in Roman numerals is DCCCXXV.
When writing a large number in Roman numerals, group it. To write 825 in Roman numerals:
So, 825 is written as DCCCXXV in Roman numerals.
Students often make mistakes when writing numbers in Roman numerals. To master them, learn common mistakes and how to avoid them.
Calculate the difference between DCCCXXV and CDXLV.
The difference between DCCCXXV and CDXLV is CCCLXXX.
To find the difference, subtract the smaller number from the larger number.
DCCCXXV = 825
CDXLV = 445
825 - 445 = 380
380 in Roman numerals is CCCLXXX.
Convert the sum of CCLXVII and DLXIII into Roman numerals.
The sum of CCLXVII and DLXIII is DCCCXXX.
Add the numbers together.
CCLXVII = 267
DLXIII = 563
267 + 563 = 830
830 in Roman numerals is DCCCXXX.
A historian found DCCXV ancient coins and later discovered CX more coins. What is the total count in Roman numerals?
The total count of coins is DCCCXXV.
Add the numbers together to find the total.
DCCXV = 715
CX = 110
715 + 110 = 825
825 in Roman numerals is DCCCXXV.
A monument was built in the year DCCCXXV. How many years were there between that year and MCMXXV?
There were M years between DCCCXXV and MCMXXV.
Subtract the earlier year from the later year to find the difference.
MCMXXV = 1925
DCCCXXV = 825
1925 - 825 = 1100
1100 in Roman numerals is MC.
If a library has DLXV volumes and plans to acquire CCLX more, what will be the total number of volumes in Roman numerals?
The total number of volumes will be DCCCXXV.
Add the current number of volumes to the planned acquisitions.
DLXV = 565
CCLX = 260
565 + 260 = 825
825 in Roman numerals is DCCCXXV.
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.