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Last updated on February 21st, 2025

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198 in Roman Numerals

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Intermediate
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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.

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What is 198 in Roman Numerals?

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.198 in roman numerals
 

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Basic Rules for 198 in Roman Numerals

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.
 

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How to Write 198 in Roman Numerals

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
 

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198 in Roman Numerals by Expansion 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.
 

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198 in Roman Numerals by Grouping Method

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.
 

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Common Mistakes and How to Avoid Them in 198 Roman Numerals

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198 in Roman Numerals Examples

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Problem 1

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?

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Explanation

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Problem 2

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?

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Explanation

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Problem 3

Calculate the result of subtracting LXXXVIII from CCLXXXVI in Roman numerals.

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Explanation

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Problem 4

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?

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Explanation

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Problem 5

Using the expansion method, convert the sum of 100 + 98 into Roman numerals.

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Explanation

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FAQs on 198 in Roman Numerals

1.What is 99 in Roman numerals?

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2.How to write 198 in Roman numerals?

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3.What is 200 in Roman Numerals?

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4.Is CXCVIII a prime number?

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5.What are the multiples of 198?

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Important Glossaries for 198 in Roman Numerals

  • Addition Rule: The addition method is used when a larger number is followed by a smaller numeral; here, the values are added. For example, CXCVIII = C + XC + VIII = 100 + 90 + 8 = 198.
     
  • Grouping Method: Here, the given number is grouped based on place value and then converted into Roman Numerals. For example, 198 = 100 + 90 + 8 = CXCVIII.
     
  • Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, III = 3 (I is repeated three times to represent the number 3).
     
  • Subtraction Rule: The subtraction method is used when a smaller numeral precedes a larger numeral, indicating subtraction. For example, XC = C - X = 100 - 10 = 90.
     
  • Place Value: A method to break down numbers into their constituent parts based on their positional value, such as ones, tens, hundreds, etc.
     
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Hiralee Lalitkumar Makwana

About the Author

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.

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: She loves to read number jokes and games.

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