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Last updated on March 1st, 2025
To meet their daily commerce and administration needs, the ancient Romans developed Roman Numerals. This system 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 MDCCXXVI.
Ancient Romans discovered that counting fingers could get very complicated after 10. 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. MDCCXXVI in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., MDCCXXVI = 1726.
Let us learn more about the Roman numeral MDCCXXVI, how we write it, 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 MDCCXXVI 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 MDCCXXVI,
Step 1: First, we break the Roman numerals. MDCCXXVI = M + D + C + C + X + X + V + I
Step 2: Write the Roman Numerals for each part The Roman Numeral M is 1000 The Roman Numeral D is 500 The Roman Numeral C is 100 The Roman Numeral X is 10 The Roman Numeral V is 5 The Roman Numeral I is 1
Step 3: Combine all the numbers M + D + C + C + X + X + V + I = 1000 + 500 + 100 + 100 + 10 + 10 + 5 + 1 = 1726. Therefore, the Roman Numeral MDCCXXVI is 1726.
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 MDCCXXVI.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M, DCC, and XXVI. The numeral for M is 1000 The numeral for DCC is 700 The numeral for XXVI is 26
Step 2: Now we need to either add or subtract the smaller number, depending on its place.
Here we add DCC and XXVI to M, and we will get MDCCXXVI. Therefore, the numeral of MDCCXXVI is 1726.
What is the sum of MDCCXXVI and DCCLIV? Write the answer in Roman numerals.
Subtract CDXXV from MDCCXXVI and express the answer in Roman numerals.
Multiply MDCCXXVI by II and write the answer in Roman numerals.
Divide MCMXXII by III and express the result in Roman numerals.
Convert MDCCXXVI into its decimal form.
Limitation Rule: Some symbols cannot be repeated more than once (V, L, D). For example, LVV for 60 is wrong; the correct answer is LX.
Expansion Method: A way of breaking down Roman numerals into individual components and converting them into numbers to find their total value. Grouping Method: A technique that involves splitting the Roman numerals into smaller logical groups to simplify their understanding and calculation. Addition Method: When a larger symbol is followed by a smaller symbol, the values are added. Place Value: The position of a digit in a number determines its value. For example, the number 2 in 23 is in the tens place.
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.