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Last updated on May 26th, 2025

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464 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 so on. Here we will be discussing Roman Numerals, rules, and examples.

464 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 464 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman Numerals.

 

Earlier people used to count using fingers, sticks, bones, etc. to count earlier. 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 CDLXIV to represent 464, where C is 100, D is 500, L is 50, X is 10, I is 1, and V is 5. Let’s learn more about Roman numerals and how we write them.464 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 464 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; then it is the addition method. For example, VI → V + I → 5 + 1 = 6

 

Rule 2: Repetition Method

 

To write a large number, there are certain Roman Numerals that can be repeated three times. III → 3.

 

Rule 3: Subtraction Method

 

If a small number is followed by a large number in Roman Numerals, we subtract the smaller number from the large number; it is a subtraction method. 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 won't write VV for 10; instead, we use X, and 8 we write as VIII, not IIIIIIII.

Professor Greenline from BrightChamps

How to Write 464 in Roman Numerals

Let’s now learn how to write 464 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

 

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

464 in Roman Numeral 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 464 in Roman numerals using the expansion method. To write 464 in Roman Numerals, follow the steps:

 

Step 1: Break the number based on the place value. Place value includes ones, tens, hundreds, etc. For 464, we write it as 400 + 60 + 4

 

Step 2: Converting the number into Roman Numerals 400 in Roman Numeral — CD 60 in Roman Numeral — LX 4 in Roman Numeral — IV

 

Step 3: Combine the Roman Numerals together. Therefore, 464 in Roman Numeral is CD (400) + LX (60) + IV (4) = CDLXIV

Professor Greenline from BrightChamps

464 in Roman Numeral by Grouping Method

When writing a large number into Roman Numeral, we group the number. To write 464 in Roman Numeral, we group 464 as 400 + 60 + 4

 

  • 400 in Roman Numeral - CD
     
  • 60 in Roman Numeral - LX
     
  • 4 in Roman Numeral - IV
     

So, 464 is written as CDLXIV in Roman Numerals.

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Common Mistakes and How to Avoid Them in 464 Roman Numerals

Students make mistakes when writing a number 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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464 in Roman Numerals Examples

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Problem 1

A historian finds CDL books in a library archive and needs to add XIV newly discovered manuscripts. How many books are there in total?

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The total number of books is CDLXXIV.

Explanation

The total number of books is the sum of CDL and XIV.

CDL = 450

XIV = 14

450 + 14 = 464

464 in Roman Numerals can be written as CDLXXIV.

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Max, the Girl Character from BrightChamps

Problem 2

An ancient coin collector has a collection comprising of CD coins, and he decides to add an additional LXIV coins to his collection. How many coins does he have now?

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The collector now has CDLXIV coins.

Explanation

The total number of coins is the sum of CD and LXIV.

CD = 400

LXIV = 64

400 + 64 = 464

464 in Roman Numerals can be written as CDLXIV.

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Max, the Girl Character from BrightChamps

Problem 3

A museum exhibition has CCCXC paintings and plans to showcase LXXIV more. What will be the total number of paintings displayed at the exhibition?

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The total number of paintings is CDLXIV.

Explanation

The total number of paintings is the sum of CCCXC and LXXIV.

CCCXC = 390

LXXIV = 74

390 + 74 = 464

464 in Roman Numerals is CDLXIV.

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Max, the Girl Character from BrightChamps

Problem 4

A scribe writes down CDLX pages and later removes IV pages that contain errors. How many pages remain?

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The number of pages that remain is CDLX.

Explanation

The number of pages that remain is the difference of CDLX and IV.

CDLX = 460

IV = 4

460 - 4 = 456

456 in Roman Numerals can be written as CDLVI.

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Max, the Girl Character from BrightChamps

Problem 5

Calculate the difference between D and XXXVI, and express it in Roman Numerals.

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The difference between D and XXXVI is CDLXIV.

Explanation

The difference of two numbers is obtained by subtracting one from the other.

D = 500

XXXVI = 36

500 - 36 = 464

464 in Roman Numerals can be written as CDLXIV.

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FAQs on 464 in Roman Numerals

1.What is 450 in Roman numerals?

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2.How to write 464 in Roman numerals?

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3.What is 470 in Roman Numerals?

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4.Is CDLXIV a prime number?

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5.What are the multiples of 464?

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Professor Greenline from BrightChamps

Important Glossaries for 464 in Roman Numerals

  • Addition rule: The addition method is used when a large number is followed by a smaller numeral; here, the 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, 464 = 400 + 60 + 4 = CDLXIV
     
  • 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 number precedes a larger numeral, and the smaller numeral is subtracted from the larger one. For example, IV = V - I = 5 - 1 = 4
     
  • Place value: Breaking down numbers based on their place values, such as hundreds, tens, and units, to convert them into Roman numerals accurately. For example, 464 is broken down as 400 (CD) + 60 (LX) + 4 (IV).
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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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