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 DCCXXII.
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. DCCXXII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., DCCXXII = 722.
Let us learn more about the Roman numeral DCCXXII, 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 smaller symbol precedes a larger 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 DCCXXII 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 DCCXXII,
Step 1: First we break the Roman numerals. DCCXXII = D + C + C + X + X + I + I
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 I is 1
Step 3: Combine all the numbers D + C + C + X + X + I + I = 500 + 100 + 100 + 10 + 10 + 1 + 1 = 722. Therefore, the Roman Numeral DCCXXII is 722.
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 DCCXXII.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are DCC, XX, and II. 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 XX and II to DCC and we will get DCCXXII. The numeral for XX is 20 The numeral for II is 2 Therefore, the numeral of DCCXXII is 722.
Students can make mistakes when studying Roman numerals. Here are a few common mistakes students make, and ways to avoid them.
If you multiply DCCXXII by II, what is the result in Roman numerals?
The product is MCDXLIV
Convert DCCXXII and II into decimal:
DCCXXII = 722
II = 2
Multiply the numbers: 722 × 2 = 1444
Convert 1444 into Roman numerals: 1000 (M) + 400 (CD) + 40 (XL) + 4 (IV) = MCDXLIV
Subtract CCC from DCCXXII and express the result in Roman numerals.
The difference is CDXXII
Convert DCCXXII and CCC into decimal:
DCCXXII = 722
CCC = 300
Subtract the numbers: 722 - 300 = 422
Convert 422 into Roman numerals: 400 (CD) + 20 (XX) + 2 (II) = CDXXII
Divide DCCXXII by VI and write the answer in Roman numerals.
CXX
Convert DCCXXII and VI into decimal:
DCCXXII = 722
VI = 6
Divide the numbers: 722 ÷ 6 = 120
Convert 120 into Roman numerals: 100 (C) + 20 (XX) = CXX
What is the sum of DCCXXII and CCCXXVIII in Roman numerals?
The sum is M
Convert DCCXXII and CCCXXVIII into decimal:
DCCXXII = 722
CCCXXVIII = 328
Add the numbers: 722 + 328 = 1050
Convert 1050 into Roman numerals: 1000 (M) + 50 (L) = ML
Express the decimal number 722 in Roman numerals.
In Roman numerals, 722 is DCCXXII
Break 722 into components:
700 = DCC (500 [D] + 200 [CC])
20 = XX
2 = II
Combine to form DCCXXII
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.