DCCCXVIII in Roman Numerals

Ancient Romans discovered that counting fingers could get very complicated after 10. So to overcome this complexity, the Roman numeric system was developed. This system 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. DCCCXVIII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e. DCCCXVIII = 818.

Let us learn more about the Roman numeral DCCCXVIII, 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 numerals we are trying to write. In this section, we will learn about the rules when writing Roman numerals and how to represent them.

Rule 1: Addition Method:

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.

Rule 2: Repetition Method:

A symbol that is repeated up to three times in continuation increases the value of the numeral. For example, XXX = 30.

Rule 3: Subtraction Method:

We use the subtraction method when a smaller symbol precedes a larger symbol. For example, XL = 40 (which is 50 – 10).

Rule 4: Limitation Rule:

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 how to write DCCCXVIII in Roman numerals. There are two methods that we can use to write Roman numerals:

• By Expansion Method
• By Grouping Method

The breaking down of Roman numerals into parts and then converting them into numerals is what we call the expansion method. This method involves breaking down Roman numerals into numerical form and adding them to get the final number.

For DCCCXVIII,

Step 1: Break the Roman numerals into parts. DCCCXVIII = D + CCC + 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 X is 10 The Roman numeral V is 5 The Roman numeral I is 1

Step 3: Combine all the numbers. D + CCC + X + V + III = 500 + 300 + 10 + 5 + 3 = 818. Therefore, the Roman numeral DCCCXVIII is 818.

Using the subtraction and addition rules, we 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.

Example: Let’s take the Roman numeral DCCCXVIII.

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are D, CCC, X, V, and III. The numeral for D is 500 The numeral for CCC is 300

Step 2: Now we need to either add or subtract the smaller number, depending on its place.

Here we add X to DCCC and then V and III. The Roman numeral X is 10 The Roman numeral V is 5 The Roman numeral III is 3 Therefore, the numeral of DCCCXVIII is 818.

We follow a pattern when it comes to writing Roman numerals. In this section, we will write some numbers related to the Roman numeral DCCCXVIII: 

• Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, LVV for 60 is wrong; the correct answer is LX.

• Place Value: The position of a digit in a number; this position determines its value. For example, the number 8 in 818 is in the hundred's place.

• Repetition Method: A method where a Roman numeral symbol is repeated up to three times to increase its value. For example, CCC is 300.

• Addition Method: Adding the values of Roman numerals when a larger numeral is followed by a smaller one. For example, XV = 10 + 5 = 15.

• Subtraction Method: A method where a smaller numeral preceding a larger one indicates subtraction. For example, IX = 10 - 1 = 9.