138 LearnersLast updated on May 26th, 2025
428 in Roman Numerals
Roman numerals are a system of representing numbers using specific symbols. The symbols used are I, V, X, L, C, D, and M. Roman numerals are prevalent in royal titles, book names, sequences, and various formal contexts. Here, we will discuss Roman numerals, their rules, and examples.
What is 428 in Roman Numerals?
Royal titles, such as Henry I, Henry II, and so forth, often use Roman numerals. Have you noticed these symbols and wondered what they represent? These are Roman numerals.
In ancient times, people counted using fingers, sticks, bones, etc. As life grew more complex, a standardized counting system became necessary. The ancient Romans developed the Roman numeral system to address this need. 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, 428 is represented as CDXXVIII, where C is 100, D is 500, X is 10, and I is 1. Let's explore more about Roman numerals and how to write them.
Basic Rules for 428 in Roman Numerals
Certain basic rules govern the writing of numbers in Roman numerals. In this section, we will discuss some fundamental rules to remember when writing numbers in Roman numerals.
Rule 1: Addition Method
The addition method is used when a smaller numeral follows a larger numeral. For example, VIII → V + III → 5 + 3 = 8.
Rule 2: Repetition Method
To write a larger number, some Roman numerals can be repeated up to three times. For example, XXX → 30.
Rule 3: Subtraction Method
When a smaller numeral precedes a larger numeral, it indicates subtraction. For example, IV → V - I → 5 - 1 = 4.
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 write 10 as X, not VV, and 8 as VIII, not IIIIIIII.
How to Write 428 in Roman Numerals
Let's learn how to write 428 in Roman numerals using different methods.
- By Expansion Method
- By Grouping Method
428 in Roman Numerals by Expansion Method
In the expansion method, numbers are broken down based on place value. Here, we will learn how to write 428 in Roman numerals using this method. To write 428 in Roman numerals, follow these steps:
Step 1: Break down the number based on place value: hundreds, tens, and ones. For 428, we write it as 400 + 20 + 8.
Step 2: Convert each component into Roman numerals:
400 in Roman numerals - CD
20 in Roman numerals - XX
8 in Roman numerals - VIII
Step 3: Combine the Roman numerals together. Therefore, 428 in Roman numerals is CD (400) + XX (20) + VIII (8) = CDXXVIII.
428 in Roman Numerals by Grouping Method
When writing a large number in Roman numerals, we group the number. To write 428 in Roman numerals, we group 428 as 400 + 20 + 8.
- 400 in Roman numerals - CD
- 20 in Roman numerals - XX
- 8 in Roman numerals - VIII
So, 428 is written as CDXXVIII in Roman numerals.
Numbers Related to 428 in Roman Numerals
Roman numerals follow a systematic pattern that makes them appear similar. In this section, we'll explore numbers related to the Roman numeral 428.
| Number | Roman Numeral | Breakdown |
|---|---|---|
| 100 | C | 100 |
| 200 | CC | 100 + 100 = 200 |
| 300 | CCC | 100 + 100 + 100 = 300 |
| 400 | CD | 500 - 100 = 400 |
| 401 | CDI | 400 + 1 = 401 |
| 402 | CDII | 400 + 2 = 402 |
| 403 | CDIII | 400 + 3 = 403 |
| 404 | CDIV | 400 + 4 = 404 |
| 405 | CDV | 400 + 5 = 405 |
| 420 | CDXX | 400 + 10 + 10 = 420 |
| 421 | CDXXI | 400 + 10 + 10 + 1 = 421 |
| 422 | CDXXII | 400 + 10 + 10 + 2 = 422 |
| 423 | CDXXIII | 400 + 10 + 10 + 3 = 423 |
| 424 | CDXXIV | 400 + 10 + 10 + 4 = 424 |
| 425 | CDXXV | 400 + 10 + 10 + 5 = 425 |
| 426 | CDXXVI | 400 + 10 + 10 + 6 = 426 |
| 427 | CDXXVII | 400 + 10 + 10 + 7 = 427 |
| 428 | CDXXVIII | 400 + 10 + 10 + 8 = 428 |
Common Mistakes and How to Avoid Them in 428 Roman Numerals
Students often make mistakes when writing numbers in Roman numerals. To master Roman numerals, it is essential to learn some common mistakes and ways to avoid them.
Mistake 1
Errors in repetition method
The repetition method can confuse beginners as it allows certain symbols to be repeated up to three times. However, some symbols like V, L, and D cannot be repeated.
428 in Roman Numerals Examples
Problem 1
A historian discovered four ancient scrolls in a site, each marked with the numeral CVII. Calculate the total sum of the values represented by the numerals.
The total sum of the values represented by the numerals is CDXXVIII
Explanation
Each scroll is marked with CVII, which is 107 in modern numerals. With four scrolls, we multiply: 4 × 107 = 428.
Thus, 428 in Roman numerals is written as CDXXVIII.
Problem 2
An artist painted a mural with a sequence of Roman numerals starting from CLXII and ending at CDXXVIII. How many numerals were painted in total?
The total number of numerals painted is CCLXVII
Explanation
CLXII is 162 and CDXXVIII is 428. The difference between the two is 428 - 162 = 266. Therefore, the number of numerals painted is 267, including both endpoints.
In Roman numerals, 267 is CCLXVII.
Problem 3
A library received a donation of books, each labeled with the numeral XLVIII. If the total donation is CDXXVIII books, how many books are labeled with XLVIII?
The number of books labeled with XLVIII is IX
Explanation
The total number of books is 428, which is CDXXVIII. Each book has the numeral XLVIII, which is 48.
To find the number of books, we divide 428 by 48: 428 / 48 = 8.9167.
Rounding down, the number of whole books labeled is 9. In Roman numerals, 9 is IX.
Problem 4
A mathematician is examining a sequence and identifies that multiplying the smallest numeral, XXVIII, by a certain number equals CDXXVIII. Find the multiplier.
The multiplier is XV
Explanation
XXVIII is 28 in modern numerals. The equation is 28 × n = 428.
Solving for n gives n = 428 / 28 = 15.
Therefore, the multiplier is 15, which is XV in Roman numerals.
Problem 5
Calculate the difference between CDXXX and CDXXVIII using Roman numerals.
The difference between CDXXX and CDXXVIII is II
Explanation
CDXXX is 430 and CDXXVIII is 428. The difference is 430 - 428 = 2.
In Roman numerals, 2 is II.
FAQs on 428 in Roman Numerals
1.What is 400 in Roman numerals?
2.How to write 428 in Roman numerals?
3.What is 450 in Roman Numerals?
4.Is CDXXVIII a prime number?
5.What are the multiples of 428?
6.How can children in Vietnam use numbers in everyday life to understand 428 in Roman Numerals?
7.What are some fun ways kids in Vietnam can practice 428 in Roman Numerals with numbers?
8.What role do numbers and 428 in Roman Numerals play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve 428 in Roman Numerals skills?
Important Glossaries for 428 in Roman Numerals
- Addition rule: This method is used when a larger numeral is followed by a smaller one, and their values are added. For example, VIII = V + III = 8.
- Grouping method: The number is grouped based on place value, and each group is converted to Roman numerals. For example, 428 = 400 + 20 + 8 = CDXXVIII.
- Repetition rule: Certain symbols (I, X, C, M) can be repeated up to three times. For example, XXX = 30.
- Subtraction rule: This method is used when a smaller numeral precedes a larger one, indicating subtraction. For example, IX = X - I = 9.
- Limitation rule: Some symbols like V, L, and D cannot be repeated, and no symbol is repeated more than three times consecutively.
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About BrightChamps in Vietnam
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.
Fun Fact
: She loves to read number jokes and games.
