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Last updated on May 26th, 2025

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349 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.

349 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 349 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. 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 CCCXLIX to represent 349, where CCC is 300, XL is 40, and IX is 9. Let’s learn more about Roman numerals and how we write them.349 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 349 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, VI → V + I → 5 + 1 = 6.

 

Rule 2: Repetition Method

 

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

 

Rule 3: Subtraction Method

 

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

Professor Greenline from BrightChamps

How to Write 349 in Roman Numerals

Let’s now learn how to write 349 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

 

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

349 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 349 in Roman numerals using the expansion method.

 

To write 349 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 349, we write it as 300 + 40 + 9.

 

Step 2: Converting the number into Roman Numerals:

 

300 in Roman Numerals — CCC

 

40 in Roman Numerals — XL

 

9 in Roman Numerals — IX

 

Step 3: Combining the Roman Numerals together:

 

Therefore, 349 in Roman Numerals is CCC (300) + XL (40) + IX (9) = CCCXLIX.

Professor Greenline from BrightChamps

349 in Roman Numeral by Grouping Method

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

 

To write 349 in Roman Numeral, we group 349 as 300 + 40 + 9:

 

300 in Roman Numerals — CCC

 

40 in Roman Numerals — XL

 

9 in Roman Numerals — IX

 

So, 349 is written as CCCXLIX in Roman Numerals.

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Common Mistakes and How to Avoid Them in 349 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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349 in Roman Numerals Examples

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Problem 1

A historian is cataloging artifacts from a Roman site and finds CCCXLIX coins distributed in XLVII boxes. How many coins are in each box?

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The number of coins in each box is VII.

Explanation

To find the number of coins per box, divide the total number of coins by the number of boxes:


CCCXLIX = 349  


XLVII = 47


Therefore, CCCXLIX / XLVII = 349 / 47 = 7.  


7 in Roman numerals is VII.

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Problem 2

An architect is planning to design a garden in the shape of a Roman numeral. The perimeter of the garden is CCCXLIX meters. If one side of the garden is XXIII meters, what is the length of the remaining side if the garden is a rectangle?

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The length of the remaining side is CLXII meters.

Explanation

The perimeter of a rectangle is calculated as 2 × (length + width).  

Let the length be XXIII meters, then:  


CCCXLIX = 349 meters  


XXIII = 23 meters  

 

2 × (23 + width) = 349  


23 + width = 349 / 2  


23 + width = 174.5  


width = 174.5 - 23  


width = 151.5  

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Problem 3

A teacher distributes a total of MCMXLIII apples evenly among CCCXLIX students. How many apples does each student receive?

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Each student receives V apples.

Explanation

To find the number of apples each student receives, divide the total apples by the number of students:


MCMXLIII = 1943  


CCCXLIX = 349  


Therefore, MCMXLIII / CCCXLIX = 1943 / 349 = 5.  


5 in Roman numerals is V.

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Problem 4

Calculate the total cost if each of the CCCXLIX Roman-style bracelets is priced at VII denarii.

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The total cost is MMCDXLIII denarii.

Explanation

Multiply the number of bracelets by the cost per bracelet:


CCCXLIX = 349

 
VII = 7  


349 × 7 = 2443

 

2443 in Roman numerals is MMCDXLIII.

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Problem 5

Write the Roman Numeral for the sum of CCLXXIV and LXXV using addition.

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The Roman numeral for the sum is CCCXLIX.

Explanation

Multiply the number of bracelets by the cost per bracelet:


CCCXLIX = 349

 
VII = 7  


349 × 7 = 2443  

 

2443 in Roman numerals is MMCDXLIII.

     

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FAQs on 349 in Roman Numerals

1.What is 349 in Roman numerals?

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2.How to write 349 in Roman numerals?

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3.What is 350 in Roman Numerals?

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4.Is CCCXLIX a prime number?

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5.What are the multiples of 349?

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Professor Greenline from BrightChamps

Important Glossaries for 349 in Roman Numerals

  • Addition rule: Addition method is used when a large number is followed by a smaller numeral, and 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 we convert each group into its Roman numerals. For example, 349 = 300 + 40 + 9 = CCCXLIX.
     
  • 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: When a smaller numeral precedes a larger numeral, the smaller is subtracted. For example, IX = X - I = 10 - 1 = 9.
     
  • Limitation rule: Some symbols, like V, L, and D, cannot be repeated, and no symbol can be repeated more than three times.
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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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