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Last updated on May 26th, 2025

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474 in Roman Numerals

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

474 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 474 in Roman Numerals?

Have you ever noticed roman numerals in clocks or at the end of movie credits and wondered what these symbols represent? Those are the Roman numerals.

 

Early civilizations used to count using fingers, sticks, bones, etc. As societies became more complex, a standard form was required.

 

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 CDLXXIV to represent 474. Here, CD is 400, L is 50, XX is 20, and IV is 4. Let’s learn more about Roman numerals and how we write them.474 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 474 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 a smaller number is placed after a larger number. For example, VI → V + I → 5 + 1 = 6.

 

Rule 2: Repetition Method

 

To write a larger number, certain Roman numerals can be repeated up to three times. For example, III → 3.

 

Rule 3: Subtraction Method

 

If a smaller number precedes a larger number, we subtract the smaller number from the larger. For example, IX → X - I → 10 - 1 = 9.

 

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 write 8 as VIII not IIIIIIII.

Professor Greenline from BrightChamps

How to Write 474 in Roman Numerals

Let’s now learn how to write 474 in Roman numerals. Follow these methods to write the number in Roman numerals:

 

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

474 in Roman Numerals by Expansion Method

In the expansion method, the number is broken down based on place value. Here we will learn how to write 474 in Roman numerals using the expansion method. To write 474 in Roman numerals, follow these steps:

 

Step 1: Break the number based on its place value. Place values are ones, tens, hundreds, etc. For 474, we write it as 400 + 70 + 4.

 

Step 2: Convert the numbers into Roman numerals. 400 in Roman numerals — CD 70 in Roman numerals — LXX 4 in Roman numerals — IV

 

Step 3: Combine the Roman numerals together. Therefore, 474 in Roman numerals is CD (400) + LXX (70) + IV (4) = CDLXXIV.

Professor Greenline from BrightChamps

474 in Roman Numerals by Grouping Method

When writing a large number into Roman numerals, we group the number. To write 474 in Roman numerals, we group 474 as 400 + 70 + 4.

 

  • 400 in Roman numerals - CD
     
  • 70 in Roman numerals - LXX
     
  • 4 in Roman numerals - IV

 

So, 474 is written as CDLXXIV in Roman numerals.

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Common Mistakes and How to Avoid Them in 474 Roman Numerals

Students often make mistakes when writing numbers in Roman numerals. To master Roman numerals, it helps to learn a few common mistakes and 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 numerals such as V, L, and D cannot be repeated.

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474 in Roman Numerals Examples

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Problem 1

A historian discovers a document that mentions a battle involving CDLXXIV soldiers. If each soldier was awarded V gold coins, how many coins were distributed in total?

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A total of MMCCCLXX coins were distributed.

Explanation

The total number of coins distributed is found by multiplying the number of soldiers by the number of coins each received.

CDLXXIV = 474

V = 5 474 × 5 = 2370

2370 in Roman Numerals is MMCCCLXX.

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Problem 2

In an ancient game, a player scores points represented as CCCCLXXIV. If they lose points equivalent to CXXIV, what is their final score?

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The final score of the player is CCCL.

Explanation

To find the final score, subtract the lost points from the original points.

CCCCLXXIV = 474

CXXIV = 124

474 - 124 = 350

350 in Roman Numerals is CCCL.

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Problem 3

An artifact collector has a collection of CCCXLVIII artifacts. He purchases an additional CXXVI artifacts. What is the total number of artifacts in his collection now?

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The total number of artifacts in the collection is CDLXXIV.

Explanation

To find the total, add the original number of artifacts to the newly purchased ones.

CCCXLVIII = 348

CXXVI = 126

348 + 126 = 474

474 in Roman Numerals is CDLXXIV.

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Problem 4

A library has D books, but CDXXVI of them are checked out. How many books remain in the library?

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There are LXXIV books remaining in the library.

Explanation

To find the remaining books, subtract the checked-out books from the total.

D = 500

CDXXVI = 426

500 - 426 = 74

74 in Roman Numerals is LXXIV.

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Problem 5

Express the sum of CCC and CLXXIV using Roman numerals.

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The sum of CCC and CLXXIV is CDLXXIV.

Explanation

Add the two numbers to find the sum.

CCC = 300

CLXXIV = 174

300 + 174 = 474

474 in Roman Numerals is CDLXXIV.

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FAQs on 474 in Roman Numerals

1.What is 450 in Roman numerals?

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2.How to write 474 in Roman numerals?

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3.What is 499 in Roman numerals?

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4.Is CDLXXIV a prime number?

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5.What are the multiples of 474?

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Professor Greenline from BrightChamps

Important Glossaries for 474 in Roman Numerals

  • Addition rule: The addition method is used when a large numeral is followed by a smaller numeral, and their values are added. For example, VI = V + I = 5 + 1 = 6.
     
  • Grouping method: Here, the given numbers are grouped based on their place value and then converted into Roman numerals. For example, 474 = 400 + 70 + 4 = CDLXXIV.
     
  • Repetition rule: Certain symbols (I, X, C, M) in the Roman numeral 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: This method is used when a smaller numeral precedes a larger numeral to indicate subtraction. For example, IV = 5 - 1 = 4.
     
  • Place value: Understanding the place value helps in breaking down numbers for conversion into Roman numerals. For instance, 474 is broken down into 400, 70, and 4.
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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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