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Last updated on February 21st, 2025
Roman numerals are a way of expressing numbers using symbols. I, V, X, L, C, D, and M are the symbols we use. Roman Numerals are used in royal titles, book names, sequences, and so on. Here we will be discussing Roman Numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on, use Roman Numerals. Have you noticed the names and wondered what these symbols (I and II) represented? These are Roman Numerals. Earlier people used to count using fingers, sticks, bones, etc. When life became complex, a standard form was required to count. Ancient Romans used the Roman Numeral system to count. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols we use to count.
In Roman Numerals, we use CXCVIII to represent 198, where C is 100, XC is 90, and VIII is 8. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules to write a number in Roman Numerals. In this section, let’s discuss some basic rules that need to be remembered when writing a number in Roman numerals.
Rule 1: Addition Method
The addition method is used when the smaller number is placed after the larger number. For example, VIII → V + I + I + I → 5 + 1 + 1 + 1 = 8.
Rule 2: Repetition Method
To write a large number, certain Roman Numerals can be repeated three times. III → 3.
Rule 3: Subtraction Method
If a smaller number is followed by a larger number in Roman Numerals, we subtract the smaller number from the large number. For example, XC → C - X → 100 - 10 = 90.
Rule 4: Limitation Rule
The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we won't write VV for 10; instead, we use X, and 8 is written as VIII, not IIIIIIII.
Let’s now learn how to write 198 in Roman Numerals. Follow these methods to write the number in Roman Numerals.
By Expansion Method
By Grouping Method
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 198 in Roman numerals using the expansion method.
To write 198 in Roman Numerals, follow these steps:
Step 1: Break the number based on place value. Place values are ones, tens, hundreds, etc.
For 198, we write it as 100 + 90 + 8.
Step 2: Convert each part into Roman Numerals:
- 100 in Roman Numerals — C
- 90 in Roman Numerals — XC
- 8 in Roman Numerals — VIII
Step 3: Combine the Roman Numerals together.
Therefore, 198 in Roman Numerals is C (100) + XC (90) + VIII (8) = CXCVIII.
When writing a large number in Roman Numerals, we group the numbers.
To write 198 in Roman Numerals, group 198 as 100 + 90 + 8:
- 100 in Roman Numerals — C
- 90 in Roman Numerals — XC
- 8 in Roman Numerals — VIII
So, 198 is written as CXCVIII in Roman Numerals.
A historian wants to calculate the total number of artifacts, represented by CXLVIII, added to a collection that originally had L items. What is the total number in Roman numerals?
A museum curates a special exhibit with CLXXX artifacts and plans to distribute them equally among IX different display sections. How many artifacts will each section have?
Calculate the result of subtracting LXXXVIII from CCLXXXVI in Roman numerals.
A library received a donation of CCXXX books and decided to keep only XXXII of them. How many books were eventually added to the library in Roman numerals?
Using the expansion method, convert the sum of 100 + 98 into Roman numerals.
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.