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Last updated on May 26th, 2025

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364 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.

364 in roman numerals for Filipino Students
Professor Greenline from BrightChamps

What is 364 in Roman Numerals?

The royal titles, such as Henry I, Henry II, etc., use Roman numerals. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman numerals. Earlier people used fingers, sticks, bones, etc., to count.



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 CCCLXIV to represent 364. Here 'C' is 100, 'C' is 100 again, 'C' is 100 once more, 'L' is 50, 'X' is 10, 'IV' is 4. Let’s learn more about Roman numerals and how we write them.

 

364 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 364 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, LX → L + X → 50 + 10 = 60.

 

Rule 2: Repetition Method

To write a large number, certain Roman numerals can be repeated three times. CCC → 300.

 

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. 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 is written as VIII, not IIIIIIII.

Professor Greenline from BrightChamps

How to Write 364 in Roman Numerals

Let’s now learn how to write 364 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

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

364 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 364 in Roman numerals using the expansion method.

 

To write 364 in Roman numerals, follow the steps:

 

Step 1: The number is broken based on the place value. Place values are ones, tens, hundreds, etc.

For 364, we write it as 300 + 60 + 4.

 

Step 2: Converting the number into Roman numerals:
  
300 in Roman numerals — CCC  
60 in Roman numerals — LX  
4 in Roman numerals — IV

 

Step 3: Combine the Roman numerals together.  


Therefore, 364 in Roman numerals is CCC (300) + LX (60) + IV (4) = CCCLXIV.

Professor Greenline from BrightChamps

364 in Roman Numerals by Grouping Method

When writing a large number into Roman numerals, we group the numbers.   


To write 364 in Roman numerals, we group 364 as 300 + 60 + 4.  

 

 

  • 300 in Roman numerals - CCC  
     
  • 60 in Roman numerals - LX  
     
  • 4 in Roman numerals - IV  


So, 364 is written as CCCLXIV in Roman numerals.

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Common Mistakes and How to Avoid Them in 364 Roman Numerals

Students make mistakes when writing a number in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.

Mistake 1

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Errors in the 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 Roman numerals such as V, L, and D cannot be repeated.

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364 in Roman Numerals Examples

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Problem 1

A historian discovered CCCLXIV ancient coins and wants to distribute them evenly into VIII groups. How many coins will each group receive?

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Each group will receive XLVI coins.

Explanation

To find out how many coins each group receives, divide the total number of coins by the total number of groups.  

CCCLXIV = 364  

VIII = 8  

364 / 8 = 45.5  

Since the coins cannot be split into fractions, each group receives 45 full coins, which is XLV in Roman numerals.

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Max, the Girl Character from BrightChamps

Problem 2

Calculate the sum of CCXLVIII and CXVI.

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The sum of CCXLVIII and CXVI is CCCLXIV.

Explanation

Sum is the result of adding two numbers.  

CCXLVIII = 248  

CXVI = 116  

248 + 116 = 364  

364 in Roman numerals is CCCLXIV.

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Max, the Girl Character from BrightChamps

Problem 3

A collector has CCCLXIV stamps and wants to add another LXXXIX stamps to his collection. What is the total number of stamps he will have?

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The total number of stamps is CDLIII.

Explanation

Add the two numbers together.  

CCCLXIV = 364  

LXXXIX = 89  

364 + 89 = 453  

453 in Roman numerals is CDLIII.

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Max, the Girl Character from BrightChamps

Problem 4

Determine the difference between CCCC and CCCLXIV.

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The difference between CCCC and CCCLXIV is XXXVI.

Explanation

Subtract the smaller number from the larger number.  

CCCC = 400  

CCCLXIV = 364  

400 - 364 = 36  

36 in Roman numerals is XXXVI.

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Max, the Girl Character from BrightChamps

Problem 5

Write the Roman numeral for 364 using the subtraction method.

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The Roman numeral for 364 is CCCLXIV.

Explanation

First, decompose 364 into components that can be represented in Roman numerals using the subtraction method.  

364 = 300 + 60 + 4  

300 = CCC  

60 = LX  

4 = IV  

Therefore, 364 = CCC + LX + IV = CCCLXIV.

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FAQs on 364 in Roman Numerals

1.What is 90 in Roman numerals?

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2.How to write 364 in Roman numerals?

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3.What is 370 in Roman Numerals?

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4.Is CCCLXIV a prime number?

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5.What are the multiples of 364?

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6.How can children in Philippines use numbers in everyday life to understand 364 in roman numerals?

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7.What are some fun ways kids in Philippines can practice 364 in roman numerals with numbers?

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8.What role do numbers and 364 in roman numerals play in helping children in Philippines develop problem-solving skills?

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9.How can families in Philippines create number-rich environments to improve 364 in roman numerals skills?

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Professor Greenline from BrightChamps

Important Glossaries for 364 in Roman Numerals

  • Addition rule: The addition method is used when a large number precedes a smaller numeral; here the values are added. For example, CCCLXIV = CCC + LX + IV = 364.

 

  • Grouping method: Here, the given numbers are grouped based on their place value and then we convert each group into its Roman numerals. For example, 364 = 300 + 60 + 4 = CCCLXIV.

 

  • Repetition rule: Certain symbols (I, X, C, M) in the Roman numeral system can be repeated only up to three times. For example, CCC = 300 (C is repeated three times).

 

  • Subtraction method: This method is used when a smaller numeral precedes a larger one, indicating subtraction. For example, IV = V - I = 4.

 

  • Limitation rule: This rule states that some symbols like V, L, and D cannot be repeated.
Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, numbers are more than just digits—they are keys to limitless possibilities! Our goal is to help children throughout the Philippines develop crucial math skills, focusing today on the 364 in roman numerals with a special focus on Roman numerals—in a lively, fun, and easy-to-follow way. Whether your child is calculating the speed of a roller coaster at Enchanted Kingdom, keeping track of scores at a basketball game, or managing their allowance to buy the newest gadgets, mastering numbers builds confidence for daily life. Our interactive lessons make learning fun and easy. Since kids in the Philippines learn in diverse ways, we tailor our approach to fit each child’s unique style. From the bustling streets of Manila to the beautiful islands of Palawan, BrightChamps brings math to life, making it relatable and exciting throughout the Philippines. Let’s make Roman numerals a fun part of every child’s learning journey!
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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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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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