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Last updated on March 29th, 2025

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321 in Roman Numerals

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Foundation
Intermediate
Advance Topics

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 discuss Roman Numerals, rules, and examples.

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What is 321 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 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 CCCXXI to represent 321, where CCC is 300, XX is 20, and I is 1. Let’s learn more about Roman numerals and how we write them.

321 in roman numerals

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Basic Rules for 321 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, XI → X + I → 10 + 1 = 11. For 321, it's CCC (300) + XX (20) + I (1) = 321.

Rule 2: Repetition Method

To write a large number, certain Roman Numerals can be repeated up to three times. For example, III → 3. For 321, CCC represents 300 (C repeated three times).

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, 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.
 

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How to Write 321 in Roman Numerals

Let’s now learn how to write 321 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

  • By Expansion Method
  • By Grouping Method
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321 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 321 in Roman numerals using the expansion method.

To write 321 in Roman Numerals, follow the steps:

 

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

For 321, we write it as 300 + 20 + 1.

 

Step 2: Converting the number into Roman Numerals:

 

300 in Roman Numerals — CCC

 

20 in Roman Numerals — XX

 

 1 in Roman Numerals — I

 

Step 3: Combine them together.

 

Therefore, 321 in Roman Numerals is CCC (300) + XX (20) + I (1) = CCCXXI.
 

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321 in Roman Numerals by Grouping Method

When writing a large number into Roman Numerals, we group the number.
To write 321 in Roman Numerals, we group 321 as 300 + 20 + 1:

 300 in Roman Numerals — CCC

 20 in Roman Numerals — XX

 1 in Roman Numerals — I

So, 321 is written as CCCXXI in Roman Numerals.
 

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Common Mistakes and How to Avoid Them in 321 Roman Numerals

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321 in Roman Numerals Examples

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Problem 1

A historian discovers a scroll with the numbers CCCXXI and LXXI inscribed on it. What is the sum of these numbers in Roman numerals?

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Explanation

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Problem 2

A library has DCCCXLII ancient manuscripts, and they want to distribute them evenly among CXC students. How many manuscripts will each student receive?

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Explanation

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Problem 3

Find the product of XXI and XV in Roman numerals.

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Explanation

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Problem 4

A collector has a collection of CCCXXI coins and sells XL coins. How many coins does the collector have left?

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Explanation

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Problem 5

Write the Roman numeral for the sum of CLX and CLXI using the expansion method.

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Explanation

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FAQs on 321 in Roman Numerals

1.What is 9 in Roman numerals?

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2.How to write 321 in Roman numerals?

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3.What is 16 in Roman Numerals?

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4.Is CCCXXI a prime number?

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5.What are the multiples of 321?

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Important Glossary for 321 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, CCCXXI = CCC + XX + I = 300 + 20 + 1 = 321.

 

  • Grouping method: Here, the given numbers are grouped based on their place value and then converted into Roman numerals. For example, 321 = 300 + 20 + 1 = CCCXXI.

 

  • Repetition rule: Certain symbols (I, X, C, M) in the Roman numeric 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 one. For example, IV = V - I = 4.

 

  • Limitation rule: Some symbols like V, L, and D cannot be repeated. For example, we do not write VV for 10; instead, we use X.
     
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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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