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Last updated on February 24th, 2025

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231 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 231 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 for counting. 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 CCXXXI to represent 231, where C is 100, X is 10, and I is 1. Let’s learn more about Roman numerals and how we write them.

231 in roman numerals
 

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Basic Rules for 231 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, CCXXXI → C + C + X + X + I → 100 + 100 + 10 + 10 + 1 = 231.

 

 

Rule 2: Repetition Method

To write a large number, certain Roman numerals can be repeated up to three times. For example, 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 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. For 8, we write VIII, not IIIIIIII.

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How to Write 231 in Roman Numerals

Let’s now learn how to write 231 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

  • By Expansion Method
  • By Grouping Method
     
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231 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 231 in Roman numerals using the expansion method.

To write 231 in Roman numerals, follow the steps:

 

 

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

For 231, we write it as 200 + 30 + 1.

 

 

Step 2: Convert the numbers into Roman numerals.

  • 200 in Roman numerals — CC

 

  • 30 in Roman numerals — XXX

 

 

  • 1 in Roman numerals — I

 

Step 3: Combine the Roman numerals together.

Therefore, 231 in Roman numerals is CC (200) + XXX (30) + I (1) = CCXXXI.

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231 in Roman Numerals by Grouping Method

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

 

To write 231 in Roman numerals, we group 231 as 200 + 30 + 1.

 

  • 200 in Roman numerals — CC

 

  • 30 in Roman numerals — XXX

 

  • 1 in Roman numerals — I

 

So, 231 is written as CCXXXI in Roman numerals.

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Common Mistakes and How to Avoid Them in 231 Roman Numerals

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231 in Roman Numerals Examples

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Problem 1

A historian is cataloging ancient artifacts and finds CCXXI coins in one chest and X coins in another. How many coins are there in total?

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Explanation

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Problem 2

A museum receives a donation of CCCXXXI artifacts, which need to be distributed evenly across XXIII display rooms. How many artifacts will each room contain?

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Explanation

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Problem 3

An ancient scroll mentions the year CC and a later year as CCXXXI. How many years passed between these two dates?

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Explanation

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Problem 4

A mathematician is studying sequences and notes that one sequence starts at XI and ends at CCXX. How many terms are in the sequence if it increases by X each time?

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Explanation

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Problem 5

Convert the sum of 115 and 116 into Roman numerals using the expansion method.

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Explanation

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FAQs on 231 in Roman Numerals

1.What is 9 in Roman numerals?

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2.How to write 231 in Roman numerals?

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3.What is 236 in Roman Numerals?

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4.Is CCXXXI a prime number?

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5.What are the multiples of 231?

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Important Glossaries for 231 in Roman Numerals

  • Addition Rule: The addition method is used when a large number is followed by a smaller numeral, and the values are added. For example, CCXXXI = CC + XXX + I = 200 + 30 + 1 = 231.

 

  • Grouping Method: Here, the given numbers are grouped based on their place value and then converted into Roman numerals. For example, 231 = 200 + 30 + 1 = CCXXXI.

 

  • 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: The subtraction method is used when a smaller numeral precedes a larger one, and the smaller value is subtracted from the larger one. For example, IX = X - I = 10 - 1 = 9.

 

  • Place Value: The numerical value that a digit has by virtue of its position in a number. For example, in 231, 2 represents 200, 3 represents 30, and 1 represents 1.
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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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: She loves to read number jokes and games.

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