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Last updated on March 28th, 2025

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320 in Roman Numerals

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Foundation
Intermediate
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Roman numerals are a method of expressing numbers using specific symbols. The symbols I, V, X, L, C, D, and M are used in this system. Roman numerals are commonly found in royal titles, book names, sequences, and more. Here, we will discuss Roman numerals, their rules, and examples.

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What is 320 in Roman Numerals?


Royal titles like Henry I, Henry II, and so on often use Roman numerals. Have you noticed these symbols and wondered what they represented? These are Roman numerals. In ancient times, people used fingers, sticks, bones, etc., for counting. As life became more complex, a standard form of counting was required. Ancient Romans developed the Roman numeral system for this purpose. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used in this system.

In Roman numerals, we use CCCXX to represent 320, where CCC is 300, and XX is 20. Let’s learn more about Roman numerals and how we write them.

320 in roman numerals

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Basic Rules for 320 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, XX → X + X → 10 + 10 = 20.

Rule 2: Repetition Method

To write larger numbers, certain Roman numerals can be repeated up to three times. CCC → 300.

Rule 3: Subtraction Method

If a smaller number is placed before a larger number, it indicates subtraction. For example, IX → X - I → 10 - 1 = 9.

Rule 4: Limitation Rule

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 LL for 100; instead, we use C.
 

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How to Write 320 in Roman Numerals

Let’s now learn how to write 320 in Roman numerals using different methods.

  • By Expansion Method
  • By Grouping Method
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320 in Roman Numerals by Expansion Method

In the expansion method, based on place value, the number is broken down. Here’s how to write 320 in Roman numerals using this method:

Step 1: Break the number based on place value: hundreds, tens, ones.

For 320, we write it as 300 + 20.

Step 2: Convert the numbers into Roman numerals:
- 300 in Roman numerals — CCC
- 20 in Roman numerals — XX

Step 3: Combine the Roman numerals together:
- Therefore, 320 in Roman numerals is CCC (300) + XX (20) = CCCXX.
 

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320 in Roman Numerals by Grouping Method

When writing a large number in Roman numerals, we group the number. To write 320 in Roman numerals, we group it as 300 + 20:
- 300 in Roman numerals — CCC
- 20 in Roman numerals — XX

So, 320 is written as CCCXX in Roman numerals.
 

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Common Mistakes and How to Avoid Them in 320 Roman Numerals

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320 in Roman Numerals Examples

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Problem 1

A historian is cataloging artifacts and finds CCCXX ancient coins. If he wants to distribute these coins equally into X groups, how many coins will each group receive?

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Explanation

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Problem 2

Convert the sum of CLX and CLX into Roman numerals.

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Explanation

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Problem 3

A collection of paintings is valued at CCCXX gold coins. If each painting is worth XL coins, find the total number of paintings.

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Explanation

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Problem 4

What is the difference between CD and CCCXX?

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Explanation

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Problem 5

A museum has a total of CCCXX artifacts and wants to organize them into displays of XL artifacts each. How many complete displays can they make?

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Explanation

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FAQs on 320 in Roman Numerals

1.What is 90 in Roman numerals?

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2.How to write 320 in Roman numerals?

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3.Is CCCXX a prime number?

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4.What are the multiples of 320?

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5.

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Important Glossary for 320 in Roman Numerals

  • Addition Rule: The addition method is used when a larger numeral is followed by a smaller numeral, and their values are added. For example, CCCXX = CCC + XX = 300 + 20 = 320.

 

  • Grouping Method: Here, numbers are grouped based on their place value, and each group is converted into its Roman numerals. For example, 320 = 300 + 20 = CCCXX.

 

  • 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 to represent 300).

 

  • Subtraction Rule: The subtraction method is used when a smaller numeral precedes a larger numeral, indicating subtraction. For example, IX = X - I = 9.

 

  • Limitation Rule: Symbols cannot be repeated more than three times, and certain symbols like V, L, and D cannot be repeated at all.
     
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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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