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Last updated on February 28th, 2025
To meet their daily commerce and administration needs, the ancient Romans developed Roman Numerals. This system uses 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 DCCCLXVIII.
The 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. DCCCLXVIII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., DCCCLXVIII = 868.
Let us learn more about the Roman numeral DCCCLXVIII, 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. 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 up to three times increases the value of the numeral. For example, CCC = 300.
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 DCCCLXVIII in Roman numerals. There are two methods that we can use to write Roman numerals:
The expansion method involves breaking down Roman numerals into parts and then converting them into numbers. This method involves breaking down Roman numerals into numerical form and adding them to get the final number.
Step 1: Break the Roman numerals into parts.
Step 2: Write each of the Roman numerals with its numerical digit in the place value.
Step 3: Add the numerals together.
For DCCCLXVIII,
Step 1: First, we break the Roman numerals. DCCCLXVIII = D + CCC + L + X + V + III
Step 2: Write the Roman Numerals for each part The Roman Numeral D is 500 The Roman Numeral C is 100 The Roman Numeral L is 50 The Roman Numeral X is 10 The Roman Numeral V is 5 The Roman Numeral I is 1
Step 3: Combine all the numbers D + CCC + L + X + V + III = 500 + 300 + 50 + 10 + 5 + 3 = 868. Therefore, the Roman Numeral DCCCLXVIII is 868.
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 DCCCLXVIII.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are D, CCC, LX, and VIII. The numeral for D is 500 The numeral for CCC is 300 The numeral for LX is 60
Step 2: Now we need to either add or subtract the smaller number, depending on its place.
Here, we add VIII to the previous total. The numeral for VIII is 8 Therefore, the numeral of DCCCLXVIII is 868.
What is the sum of DCCCLXVIII and CXXXII in Roman numerals?
Subtract CCCXLV from DCCCLXVIII and give the result in Roman numerals.
Divide DCCCLXVIII by IV and express the answer in Roman numerals.
Multiply DCCCLXVIII by II and write the answer in Roman numerals.
Convert DCCCLXVIII into its decimal form.
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.