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Last updated on May 26th, 2025

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226 in Roman Numerals

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Roman numerals are the 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.

226 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 226 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on, use Roman Numerals. Have you noticed the names and wondered what these symbols (I and II) represented? Those are Roman Numerals. Earlier people used to count using fingers, sticks, bones, etc. 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 CCXXVI to represent 226, where C is 100, X is 10, and VI is 6. Let’s learn more about Roman numerals and how we write them.

Professor Greenline from BrightChamps

Basic Rules for 226 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 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, 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, and 8 we write as VIII, not IIIIIIII.

Professor Greenline from BrightChamps

How to Write 226 in Roman Numerals

Let’s now learn how to write 226 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

  • By Expansion Method

 

  • By Grouping Method
     
Professor Greenline from BrightChamps

226 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 226 in Roman numerals using the expansion method.

 

To write 226 in Roman Numerals, follow these steps:

 

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

 

For 226, we write it as 200 + 20 + 6.

 

Step 2: Converting the number into Roman Numerals

200 in Roman Numeral — CC

20 in Roman Numeral — XX

6 in Roman Numeral — VI


Step 3: Combine the Roman Numerals together. 

Therefore, 226 in Roman Numerals is CC + XX + VI = CCXXVI.

Professor Greenline from BrightChamps

226 in Roman Numeral by Grouping Method

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


To write 226 in Roman Numerals, we group 226 as 200 + 20 + 6.


200 in Roman Numeral — CC


20 in Roman Numeral — XX


6 in Roman Numeral — VI


So, 226 is written as CCXXVI in Roman Numerals.

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Common Mistakes and How to Avoid Them in 226 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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226 in Roman Numerals Examples

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Problem 1

A historian is transcribing a parchment that mentions the year CCXXVI followed by the year CCL. How many years passed between the two years?

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The number of years between CCXXVI and CCL is XXIV.
 

Explanation

To find the difference in years, subtract CCXXVI from CCL.

CCXXVI = 226

CCL = 250

Difference: 250  226 = 24

24 in Roman numerals is XXIV.

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Problem 2

A museum exhibits CCXXVI artifacts, and they want to distribute them equally into XIII different categories. How many artifacts will go into each category?

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Each category will receive XVII artifacts.
 

Explanation

To find the number of artifacts per category, divide CCXXVI by XIII.

CCXXVI = 226

XIII = 13

Division: 226 / 13 = 17

Add the additional windows to the existing number:

CCXXVI = 226

IX = 9

Sum: 226 + 9 = 235

235 in Roman numerals is CCXXXV.

17 in Roman numerals is XVII.

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Problem 3

An architect is designing a building with CCXXVI windows and plans to add IX more. What will be the total number of windows?

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The total number of windows will be CCXXXV.
 

Explanation

NA

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Problem 4

A researcher notes that a certain event occurred in the year CCXXVI and another event occurred CL years earlier. What was the earlier year?

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The earlier year was LXXVI.
 

Explanation

Subtract CL from CCXXVI to find the earlier year:

CCXXVI = 226

CL = 150

Difference: 226  150 = 76

76 in Roman numerals is LXXVI.

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Problem 5

Convert the sum of 226 and 37 into Roman numerals using the expansion method.

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The Roman numeral for 226 + 37 is CCLXIII.
 

Explanation

Step 1: Convert the numbers 226 and 37 into Roman numerals:

226 = CCXXVI

37 = XXXVII

Add the numbers together:  

226 + 37 = 263

Using the expansion method:  

263 = 200 + 60 + 3 = CCLXIII

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FAQs on 226 in Roman Numerals

1.What is 225 in Roman numerals?

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2.How to write 226 in Roman numerals?

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3.What is 230 in Roman Numerals?

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4.Is CCXXVI a prime number?

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5.What are the multiples of 226?

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Professor Greenline from BrightChamps

Important Glossaries for 226 in Roman Numerals

  • Addition rule: Addition method is used when a large number is followed by a smaller numeral; here the values are added. For example, CCXXVI = CC + XX + VI = 226.

 

  • Grouping method: Here, the given number is grouped based on its place value, and then we convert each group into its Roman numerals. For example, 226 = 200 + 20 + 6 = CCXXVI.

 

  • 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 the number 300).

 

  • Subtraction rule: Subtraction method is used when a smaller numeral precedes a larger numeral, and the smaller value is subtracted. For example, IV = 5  1 = 4.

 

  • Place value: The numerical value that a digit has by virtue of its position in a number. For example, in the number 226, the place values are 200, 20, and 6.
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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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