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Last updated on February 24th, 2025

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658 in Roman Numerals

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Foundation
Intermediate
Advance Topics

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 more. Here we will discuss Roman Numerals, rules, and examples.

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What is 658 in Roman Numerals?

Royal titles, such as Henry I, Henry II, and so on, use Roman Numerals. Have you ever wondered what these symbols represent? Those are the Roman Numerals.

 

In ancient times, people used fingers, sticks, and bones to count. As life became more complex, a standard counting system was needed. Ancient Romans developed the Roman Numeral system. The symbols used are I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).

 

In Roman Numerals, we represent 658 as DCLVIII, where D is 500, C is 100, L is 50, V is 5, and III is 3. Let’s learn more about Roman numerals and how we write them.658 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 658 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 + III → 5 + 3 = 8.

 

Rule 2: Repetition Method

 

Certain Roman Numerals can be repeated up to three times to create larger numbers. III → 3.

 

Rule 3: Subtraction Method

 

If a small number precedes a large number in Roman Numerals, you subtract the smaller number from the larger one. For example, IV → V - I → 5 - 1 = 4.

 

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 don't write VV for 10 but use X, and for 8, we write VIII, not IIIIIIII.

Professor Greenline from BrightChamps

How to Write 658 in Roman Numerals

Let’s now learn how to write 658 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

 

  • By Expansion Method
  • By Grouping Method
Professor Greenline from BrightChamps

658 in Roman Numeral by Expansion Method

In the expansion method, the number is broken down based on place value. In this section, we will learn how to write 658 in Roman numerals using the expansion method. To write 658 in Roman Numerals, follow these steps:

 

Step 1: Break the number based on place value. The place values are ones, tens, hundreds, etc. For 658, we write it as 500 + 100 + 50 + 8.

 

Step 2: Convert the numbers into Roman Numerals.

  • 500 in Roman Numerals - D
     
  • 100 in Roman Numerals - C
     
  • 50 in Roman Numerals - L
     
  • 8 in Roman Numerals - VIII

 

Step 3: Combine the Roman Numerals together. Therefore, 658 in Roman Numerals is D (500) + C (100) + L (50) + VIII (8) = DCLVIII.

Professor Greenline from BrightChamps

658 in Roman Numeral by Grouping Method

When writing a large number into Roman Numerals, we group the number. To write 658 in Roman Numerals, group 658 as 500 + 100 + 50 + 8.

 

  • 500 in Roman Numerals - D
     
  • 100 in Roman Numerals - C
     
  • 50 in Roman Numerals - L
     
  • 8 in Roman Numerals - VIII

 

So, 658 is written as DCLVIII in Roman Numerals.

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Common Mistakes and How to Avoid Them in 658 Roman Numerals

Students often make mistakes when writing numbers in Roman Numerals. To master Roman Numerals, we can learn a few common mistakes and the ways to avoid them.

Mistake 1

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Errors in repetition method

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The repetition method can be confusing for beginners as it states that Roman Numerals cannot be repeated more than three times. In contrast, some of the Roman Numerals such as V, L, and D cannot be repeated.

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658 in Roman Numerals Examples

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Problem 1

A historian discovers DCLVIII ancient coins and wants to divide them equally among VIII museums. How many coins does each museum receive?

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Each museum receives LXXXII coins.

Explanation

To find the number of coins each museum receives, divide the total coins by the number of museums.

DCLVIII = 658

VIII = 8

658 ÷ 8 = 82

82 in Roman numerals is LXXXII.

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Problem 2

A researcher is cataloging artifacts and notes that there are DCLVIII artifacts on one shelf and CCCXLII on another. How many artifacts are there in total?

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There are M artifacts in total.

Explanation

Sum is the result of adding two numbers.

DCLVIII = 658

CCCXLII = 342

658 + 342 = 1000

1000 in Roman numerals is M.

The sum of DCLVIII and CCCXLII is M.

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Problem 3

A collector sells CD artifacts but originally had DCLVIII. How many artifacts does the collector have now?

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The collector now has CCXLVIII artifacts.

Explanation

The difference of two numbers is the value obtained when one number is subtracted from another.

DCLVIII = 658

CD = 400

658 - 400 = 258

258 in Roman numerals is CCXLVIII.

The difference between DCLVIII and CD is CCXLVIII.

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Problem 4

Convert the year 658 AD into Roman numerals using the expansion method.

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The year 658 in Roman numerals is DCLVIII.

Explanation

Step 1: Break down the number 658 using the expansion method:

658 = 600 + 50 + 8

Step 2: Convert each part into Roman numerals:

600 - DC

50 - L

8 - VIII

Combine: DCLVIII

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Problem 5

A library receives DCLVIII new books and places them in XIII sections equally. How many books are in each section?

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Each section contains LI books.

Explanation

Divide the total number of books by the number of sections.

DCLVIII = 658

XIII = 13

658 ÷ 13 = 51

51 in Roman numerals is LI.

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FAQs on 658 in Roman Numerals

1.What is 600 in Roman numerals?

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2.How to write 658 in Roman numerals?

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3.What is 700 in Roman Numerals?

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4.Is DCLVIII a prime number?

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5.What are the multiples of 100?

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Professor Greenline from BrightChamps

Important Glossaries for 658 in Roman Numerals

  • Addition Method: This method is used when a larger numeral is followed by a smaller numeral, meaning the values are added. For example, DCLVIII = D + C + L + VIII = 658.
     
  • Grouping Method: In this method, numbers are grouped based on their place value and then converted into their Roman Numerals. For example, 658 = 500 + 100 + 50 + 8 = DCLVIII.
     
  • 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 Method: This method is used when a smaller numeral precedes a larger one, indicating subtraction. For example, IV = V - I = 4.
     
  • Roman Numerals: A numeric system used in ancient Rome, employing combinations of letters from the Latin alphabet (I, V, X, L, C, D, M) to signify values.
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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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Fun Fact

: She loves to read number jokes and games.

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