Last updated on May 26th, 2025
To meet their daily commerce and administration needs, the ancient Romans developed Roman Numerals. It used a combination of seven symbols — I, V, X, L, C, D, and M to represent numbers. Roman numerals were used to record transactions, keep track of data, and label military units. In this topic, we are going to learn about the Roman numeral DCCXXV.
Ancient Romans discovered that counting fingers could get very complicated after 10. So to overcome the complexity, the Roman numeric system was developed. This was widely used throughout Europe as a standard writing system until the late Middle Ages. Seven symbols are used to represent numbers in the Roman numeric system — I, V, X, L, C, D, and M. The numerals are made up of different combinations of these symbols. DCCXXV in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e. DCCXXV = 725.
Let us learn more about the Roman numeral DCCXXV, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
When writing Roman numerals, there are a few rules that we need to follow based on the Roman numerals we are trying to write. In this section, we will learn about the rules when writing Roman numerals and how to represent them.
When a larger symbol is followed by a smaller symbol, we add the numerals to each other. For example, in VIII, we have 5 + 3 = 8.
A symbol that is repeated three times in continuation increases the value of the numeral. For example, XXX = 30.
We use the subtraction method when a larger symbol follows a smaller symbol. For example, XL = 40 (which is 50 – 10).
Symbols cannot be repeated more than three times, and some symbols, such as V, L, and D cannot be repeated more than once. For example, 10 is represented as X and not VV.
Let us learn about how to write DCCXXV in Roman numerals. There are two methods that we can use to write Roman numerals:
The breaking down of Roman numerals into parts and then converting them into numerals is what we call the expansion method. The expansion method is the breaking down of Roman numerals into numerical form and adding them to get the final number.
Step 1: Break the Roman numerals into parts.
Step 2: Now write each of the Roman numerals with its numerical digit in the place value.
Step 3: Add the numerals together.
For DCCXXV,
Step 1: First we break the Roman numerals. DCCXXV = D + C + C + X + X + V
Step 2: Write the Roman Numerals for each part The Roman Numeral D is 500 The Roman Numeral C is 100 The Roman Numeral X is 10 The Roman Numeral V is 5
Step 3: Combine all the numbers D + C + C + X + X + V = 500 + 100 + 100 + 10 + 10 + 5 = 725. Therefore, the Roman Numeral DCCXXV is 725.
Using subtraction and addition rules, we will apply the grouping method. This means we break the Roman numerals into smaller groups, which makes it easier to work with. This method groups the Roman numerals logically, and then we write the numbers for each group.
Step 1: Take the largest number and write the number for that Roman numeral.
Step 2: Write the Roman numeral using the subtraction and addition rules.
Example: Let’s take the Roman numeral DCCXXV.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are DCC and XXV. The numeral for DCC is 700.
Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add XXV to DCC and we will get DCCXXV. The Roman numeral XXV is 25. Therefore, the numeral of DCCXXV is 725.
Students can make mistakes when studying Roman numerals. Here are a few common mistakes students make, and ways to avoid them.
Convert DCCXXV into its decimal form.
In decimal form, DCCXXV is 725.
Break down DCCXXV into components:
D = 500
CC = 200 (C + C)
XX = 20 (X + X)
V = 5
Add the values: 500 + 200 + 20 + 5 = 725
What is the result of subtracting CCL from DCCXXV? Write the answer in Roman numerals.
The result is CDLXXV.
Convert the Roman numerals into their decimal forms:
DCCXXV = 725
CCL = 250
Subtract the numbers: 725 - 250 = 475
Convert 475 into its Roman numerals: 400 (CD) + 70 (LXX) + 5 (V) = CDLXXV
Divide DCCXXV by V and write the answer in Roman numerals.
The result is CXLV.
Convert DCCXXV into its decimal form:
DCCXXV = 725
Divide by 5: 725 / 5 = 145
Write 145 in Roman numerals: 100 (C) + 40 (XL) + 5 (V) = CXLV
Find the product of DCCXXV and II. Write the answer in Roman numerals.
The product is MCDL.
Convert DCCXXV and II into numbers:
DCCXXV = 725
II = 2
Multiply the numbers: 725 × 2 = 1450
Convert 1450 into Roman numerals: 1000 (M) + 400 (CD) + 50 (L) = MCDL
What is the sum of DCCXXV and LXXX? Write the answer in Roman numerals.
The sum is DCCCV.
Convert the Roman numerals into their decimal forms:
DCCXXV = 725
LXXX = 80
Add the numbers: 725 + 80 = 805
Convert 805 into its Roman numerals: 800 (DCCC) + 5 (V) = DCCCV
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.