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Last updated on February 23rd, 2025

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498 in Roman Numerals

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Intermediate
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Roman numerals are a way of expressing numbers using specific symbols. The symbols I, V, X, L, C, D, and M are used. Roman Numerals are often found in royal titles, book names, sequences, and more. Here, we will discuss Roman Numerals, their rules, and examples.

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What is 498 in Roman Numerals?

Roman numerals are used in various contexts, such as in royal titles like Henry I, Henry II, etc. You may have seen these symbols and wondered about their meaning. They are Roman Numerals. Ancient people initially counted using fingers, sticks, bones, etc. As life became more complex, a standard counting system was necessary.

 

Ancient Romans developed the Roman Numeral system. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used for counting. In Roman Numerals, 498 is represented as CDXCIII. Here, CD is 400, XC is 90, and VIII is 8.

 

Let’s explore more about Roman numerals and how to write them.498 in roman numerals

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Basic Rules for 498 in Roman Numerals

There are certain basic rules to write numbers in Roman Numerals. In this section, let’s discuss the basic rules that need to be remembered when writing numbers in Roman numerals.

 

Rule 1: Addition Method

The addition method is used when a smaller number is placed after a larger number. For example, VIII → V + III → 5 + 3 = 8

 

Rule 2: Repetition Method

Certain Roman Numerals can be repeated up to three times to represent a number. For example, III → 3.

 

Rule 3: Subtraction Method

If a smaller number precedes a larger number, it is subtracted. For example, XC → C - X → 100 - 10 = 90

 

Rule 4: Limitation Rule

Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, 10 is written as X, not VV.

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How to Write 498 in Roman Numerals

Let’s learn how to write 498 in Roman Numerals. Follow these methods to convert the number into Roman Numerals:

 

  • By Expansion Method
  • By Grouping Method
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498 in Roman Numeral by Expansion Method

In the expansion method, a number is broken down based on its place value. Here, we will learn how to write 498 in Roman numerals using the expansion method. To write 498 in Roman Numerals, follow these steps:

 

Step 1: Break the number based on place value: hundreds, tens, and ones. For 498, we break it as 400 + 90 + 8

 

Step 2: Convert each part into Roman Numerals:

  • 400 in Roman Numerals - CD
     
  • 90 in Roman Numerals - XC
     
  • 8 in Roman Numerals - VIII

 

Step 3: Combine them: Therefore, 498 in Roman Numerals is CD + XC + VIII = CDXCIII

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498 in Roman Numeral by Grouping Method

When writing a large number in Roman Numerals, we group the number. For 498, group it as 400 + 90 + 8

  • 400 in Roman Numerals - CD
     
  • 90 in Roman Numerals - XC
     
  • 8 in Roman Numerals - VIII
     

So, 498 is written as CDXCIII in Roman Numerals.

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Common Mistakes and How to Avoid Them in 498 Roman Numerals

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498 in Roman Numerals Examples

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Problem 1

What is the result of dividing CMXCVI by II?

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Explanation

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Problem 2

A historian is categorizing artifacts into boxes of XLIX items each. If there are MMCCCXLII artifacts, how many full boxes can be filled?

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Explanation

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Problem 3

Add CDXC and VIII together and express the sum in Roman numerals.

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Explanation

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Problem 4

What is the difference between D and II?

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Explanation

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Problem 5

Express 400 + 98 in Roman numerals using the expansion method.

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Explanation

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FAQs on 498 in Roman Numerals

1.What is 90 in Roman Numerals?

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2.How to write 498 in Roman Numerals?

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3.What is 500 in Roman Numerals?

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4.Is CDXCIII a prime number?

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5.What are the multiples of 498?

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Important Glossaries for 498 in Roman Numerals

  • Addition Method: Used when a smaller numeral follows a larger one, adding the values. For example, VIII = V + III = 5 + 3 = 8.
     
  • Subtraction Method: When a smaller numeral precedes a larger one, subtract the smaller from the larger. For example, XC = X - C = 100 - 10 = 90.
     
  • Repetition Rule: Certain symbols (I, X, C, M) can be repeated up to three times. For example, III = 3.
     
  • Grouping Method: Numbers are grouped based on place value and then converted to Roman Numerals. For example, 498 = 400 + 90 + 8 = CDXCIII.
     
  • Limitation Rule: Symbols cannot be repeated more than three times, and certain symbols like V, L, and D cannot be repeated.
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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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