BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon120 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

228 in Roman Numerals

Professor Greenline Explaining Math Concepts

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.

228 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 228 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 CCXXVIII to represent 228, where C is 100, X is 10, and I is 1. Let’s learn more about Roman numerals and how we write them.

https://ik.imagekit.io/brightchamps/math/numbers/228-in-roman-numeral.png

Professor Greenline from BrightChamps

Basic Rules for 228 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, XXVIII → XX + V + III → 20 + 5 + 3 = 28.

 

Rule 2: Repetition Method

To write a large number, there are certain Roman numerals that can be repeated up to 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 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, and for 8, we write VIII, not IIIIIIII.

Professor Greenline from BrightChamps

How to Write 228 in Roman Numerals

Let’s now learn how to write 228 in Roman numerals. Follow these methods to write the number in Roman numerals. 

 

  • By Expansion Method

 

  • By Grouping Method
Professor Greenline from BrightChamps

228 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 228 in Roman numerals using the expansion method.

 

To write 228 in Roman numerals, follow the steps:

 

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

 

For 228, we write it as 200 + 20 + 8.

 

Step 2: Converting the number into Roman numerals:


200 in Roman numerals — CC


20 in Roman numerals — XX


8 in Roman numerals — VIII

 

Step 3: Combine the Roman numerals together:


Therefore, 228 in Roman numerals is CC (200) + XX (20) + VIII (8) = CCXXVIII.

Professor Greenline from BrightChamps

228 in Roman Numeral by Grouping Method

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


To write 228 in Roman numerals, we group 228 as 200 + 20 + 8:


200 in Roman numerals — CC


20 in Roman numerals — XX


8 in Roman numerals — VIII

 

So, 228 is written as CCXXVIII in Roman numerals.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in 228 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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Errors in Repetition Method
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

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.

Max from BrightChamps Saying "Hey"

228 in Roman Numerals Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

A historian is cataloging ancient artifacts and finds CCXXVIII coins dating back to the Roman Empire. If he wants to display these in groups of IV, how many groups can he make?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The number of groups is LVII
 

Explanation

To find the number of groups, divide the total number of coins by the number of coins per group.


CCXXVIII = 228   


IV = 4  


228 / 4 = 57  


57 in Roman Numerals can be written as LVII.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

An architect is designing a building with CCXXVIII windows. Each floor has XIX windows. Determine how many floors the building will have.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The building will have XII floors.
 

Explanation

To find the number of floors, divide the total number of windows by the number of windows per floor.


CCXXVIII = 228  


XIX = 19  


228 / 19 = 12  


12 in Roman Numerals is XII.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Calculate the sum of CLX and LXVIII.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The sum of CLX and LXVIII is CCXXVIII.
 

Explanation

Sum is the result of adding two numbers.


CLX = 160  


LXVIII = 68  


160 + 68 = 228  


228 in Roman Numerals is CCXXVIII.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

An artist is creating a mural using CCXXVIII tiles. If she has already used CXIV tiles, how many tiles are left?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The number of tiles left is CXIV.
 

Explanation

The number of tiles left is found by subtracting the number used from the total number.


CCXXVIII = 228  


CXIV = 114  


228 - 114 = 114  


114 in Roman Numerals is CXIV.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Write the Roman Numeral for 200 + 28 using the expansion method.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The Roman numeral for 200 + 28 is CCXXVIII.

Explanation

Step 1: Convert the numbers 200 and 28 into Roman numerals.  


200 - CC  


28 - XXVIII  

 

Add the numbers together: 200 + 28 = 228  


Using the expansion method: 228 = 200 + 28 = CCXXVIII.

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on 228 in Roman Numerals

1.What is 9 in Roman numerals?

Math FAQ Answers Dropdown Arrow

2.How to write 228 in Roman numerals?

Math FAQ Answers Dropdown Arrow

3.What is 16 in Roman numerals?

Math FAQ Answers Dropdown Arrow

4.Is CCXXVIII a prime number?

Math FAQ Answers Dropdown Arrow

5.What are the multiples of 228?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for 228 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, CCXXVIII = CC + XX + VIII = 200 + 20 + 8 = 228.

 

  • 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, 228 = 200 + 20 + 8 = CCXXVIII.

 

  • 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 the number 300).

 

  • Subtraction Rule: When a smaller numeral precedes a larger numeral, we subtract the smaller from the larger. For example, IV = V - I = 4.

 

  • Limitation Rule: Symbols like V, L, and D cannot be repeated. Instead of VV for 10, we use X, and for 8, we write VIII, not IIIIIIII.
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom