Last updated on May 26th, 2025
Roman numerals are the 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 the 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 DCCXXV to represent 725, where D is 500, CC is 200, 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. 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, DCCXXV → D + CC + XX + V → 500 + 200 + 20 + 5 = 725.
To write a large number, there are certain Roman numerals that can be repeated up to three times. For example, CCC → 300.
If a small number is followed by a large number in Roman numerals, we subtract the smaller number from the large number. For example, IX → X - I → 10 - 1 = 9.
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 DD for 1000; instead, we use M.
Let’s now learn how to write 725 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 725 in Roman numerals using the expansion method.
To write 725 in Roman numerals, follow the steps:
Step 1: Break the number based on the place value, such as ones, tens, hundreds, etc.
For 725, we write it as 500 + 200 + 20 + 5.
Step 2: Converting the number into Roman numerals:
- 500 in Roman numeral — D
- 200 in Roman numeral — CC
- 20 in Roman numeral — XX
- 5 in Roman numeral — V
Step 3: Combining them together:
Therefore, 725 in Roman numeral is D (500) + CC (200) + XX (20) + V (5) = DCCXXV.
When writing a large number into Roman numerals, we group the number.
To write 725 in Roman numeral, we group 725 as 500 + 200 + 20 + 5:
- 500 in Roman numeral — D
- 200 in Roman numeral — CC
- 20 in Roman numeral — XX
- 5 in Roman numeral — V
So, 725 is written as DCCXXV 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 ways to avoid them.
A historian needs to catalog DCCXXV ancient artifacts into V collections. How many artifacts will each collection contain if distributed evenly?
Each collection will contain CXLV artifacts.
To determine the number of artifacts per collection, divide the total number of artifacts by the number of collections.
DCCXXV = 725
V = 5
725 / 5 = 145
145 in Roman numerals is CXLV.
A museum receives a shipment of DCCXXV coins. If the museum already had CCCLXXV coins, find the total number of coins the museum now has.
The total number of coins is M.
Add the number of new coins to the existing number of coins.
DCCXXV = 725
CCCLXXV = 375
725 + 375 = 1100
1100 in Roman numerals is M.
A scholar is analyzing a document that references the year MDCCXXV. If this document was written CCC years after the founding of a famous city, in what year was the city founded?
The city was founded in the year MCDXXV.
Subtract the number of years after the founding from the referenced year.
MDCCXXV = 1725
CCC = 300
1725 - 300 = 1425
1425 in Roman numerals is MCDXXV.
A collector has a collection of DCCXXV rare stamps and decides to sell CCCL of them. How many stamps does the collector have left?
The collector has CCCLXXV stamps left.
Subtract the number of stamps sold from the total collection.
DCCXXV = 725
CCCL = 350
725 - 350 = 375
375 in Roman numerals is CCCLXXV.
Write the Roman Numeral for 725 - 38 using the expansion method.
The Roman numeral for 725 - 38 is DCLXXXVII.
Step 1: Convert the numbers 725 and 38 into Roman numerals.
725 - DCCXXV
38 - XXXVIII
Subtract the numbers: 725 - 38 = 687
Using the expansion method: 687 = 600 + 80 + 7 = DCLXXXVII
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.