CMLXXXVIII Roman Numerals

Ancient Romans discovered that counting fingers could get very complicated after 10. To overcome this 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. CMLXXXVIII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., CMLXXXVIII = 988.

Let us learn more about the Roman numeral CMLXXXVIII, 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. 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 repeated up to three times in succession 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 about how to write CMLXXXVIII 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. The expansion method involves breaking down Roman numerals into numerical form and adding them to get the final number. For CMLXXXVIII:

Step 1: Break the Roman numerals into parts. CMLXXXVIII = CM + L + X + X + X + VIII

Step 2: Write the Roman Numerals for each part

• The Roman Numeral CM is 900

• The Roman Numeral L is 50

• The Roman Numeral X is 10

• The Roman Numeral VIII is 8

Step 3: Combine all the numbers CM + L + X + X + X + VIII = 900 + 50 + 10 + 10 + 10 + 8 = 988. Therefore, the Roman Numeral CMLXXXVIII is 988.

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. Example: Let’s take the Roman numeral CMLXXXVIII.

Step 1: Begin with the largest Roman numerals. Once split, the Roman numerals are CM, L, XXX, and VIII. The numeral for CM is 900 The numeral for L is 50 The numeral for XXX is 30 The numeral for VIII is 8

Step 2: Add the values of each group. CM + L + XXX + VIII = 900 + 50 + 30 + 8 = 988. Therefore, the numeral of CMLXXXVIII is 988.

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

• Subtraction Method: A method where a smaller numeral is placed before a larger numeral to indicate subtraction. For example, IX is 9.

• Addition Method: When numerals are placed from largest to smallest, their values are added. For example, VI is 6.

• Limitation Rule: Certain symbols like V, L, and D cannot be repeated. For example, VV is not used for 10; instead, X is used.

• Place Value: The value of a digit in a numeral based on its position. For example, the numeral X in CMLXXXVIII represents 10.

• Numerical Expansion: The process of breaking down Roman numerals into their individual components for easier understanding and computation.