125 LearnersLast updated on May 26th, 2025
224 in Roman Numerals
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.
Basic Rules for 224 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, XX → X + X → 10 + 10 = 20.
Rule 2: Repetition Method
To write a large number, there are certain Roman numerals that can be repeated three times. For example, 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, IV → V I → 5 1 = 4.
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.
How to Write 224 in Roman Numerals
Let’s now learn how to write 224 in Roman numerals. Follow these methods to write the number in Roman numerals.
- By Expansion Method
- By Grouping Method
224 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 224 in Roman numerals using the expansion method.
To write 224 in Roman numerals, follow these steps:
Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc.
For 224, we write it as 200 + 20 + 4.
Step 2: Converting each number into Roman numerals:
200 in Roman numerals — CC
20 in Roman numerals — XX
4 in Roman numerals — IV
Step 3: Combine the Roman numerals together.
Therefore, 224 in Roman numerals is CC (200) + XX (20) + IV (4) = CCXXIV.
224 in Roman Numerals by Grouping Method
When writing a large number in Roman numerals, we group the numbers. To write 224 in Roman numerals, we group 224 as 200 + 20 + 4:
200 in Roman numerals — CC
20 in Roman numerals — XX
4 in Roman numerals — IV
So, 224 is written as CCXXIV in Roman numerals.
Numbers Related to 224 in Roman Numerals
Roman numerals follow a certain pattern, making them look similar. In this section, we will learn some numbers related to the Roman numeral 224:
| Number | Roman Numeral | Breakdown |
|---|---|---|
| 220 | CCXX | 200 + 20 = 220 |
| 221 | CCXXI | 200 + 20 + 1 = 221 |
| 222 | CCXXII | 200 + 20 + 2 = 222 |
| 223 | CCXXIII | 200 + 20 + 3 = 223 |
| 224 | CCXXIV | 200 + 20 + 4 = 224 |
| 225 | CCXXV | 200 + 20 + 5 = 225 |
| 226 | CCXXVI | 200 + 20 + 6 = 226 |
| 227 | CCXXVII | 200 + 20 + 7 = 227 |
| 228 | CCXXVIII | 200 + 20 + 8 = 228 |
| 229 | CCXXIX | 200 + 20 + 9 = 229 |
Common Mistakes and How to Avoid Them in 224 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
Errors in the Repetition Method
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.
224 in Roman Numerals Examples
Problem 1
A historian discovers an ancient manuscript that states: "The army was composed of CCXXIV soldiers." How many soldiers were in the army?
The number of soldiers in the army is 224.
Explanation
CCXXIV is the Roman numeral representation of the number 224. Therefore, the army had 224 soldiers.
Problem 2
A museum plans to display CCXXIV artifacts evenly across VIII different sections. How many artifacts will each section have?
Each section will have XXVIII artifacts.
Explanation
To find the number of artifacts per section, divide the total number of artifacts by the number of sections.
CCXXIV = 224
VIII = 8
224 / 8 = 28
28 in Roman numerals is XXVIII.
Problem 3
A puzzle requires you to find the sum of CLX and LXIV. What is the sum in Roman numerals?
The sum of CLX and LXIV is CCXXIV.
Explanation
Sum means adding two numbers.
CLX = 160
LXIV = 64
160 + 64 = 224
224 in Roman numerals is CCXXIV.
Problem 4
A scholar is translating an ancient text that mentions a distance of CCC kilometers minus LXXVI kilometers. What is the remaining distance in Roman numerals?
The remaining distance is CCXXIV kilometers.
Explanation
The difference of two numbers is the result of subtracting one from the other.
CCC = 300
LXXVI = 76
300 76 = 224
224 in Roman numerals is CCXXIV.
Problem 5
Convert the sum of 124 and 100 into Roman numerals using the expansion method.
The Roman numeral for 124 + 100 is CCXXIV.
Explanation
Step 1: Convert the numbers 124 and 100 into Roman numerals.
124 CXXIV
100 C
Add the numbers together: 124 + 100 = 224
Using expansion method: 224 = 200 + 20 + 4 = CC + XX + IV = CCXXIV.
FAQs on 224 in Roman Numerals
1.What is 9 in Roman numerals?
2.How to write 224 in Roman numerals?
3.What is 16 in Roman numerals?
4.Is CCXXIV a prime number?
5.What are the multiples of 224?
Important Glossaries for 224 in Roman Numerals
- Addition Rule: Addition method is used when a large number is followed by a smaller numeral, and here the values are added. For example, XX = X + X = 10 + 10 = 20.
- Grouping Method: Here, the given numbers are grouped based on their place value and then converted into Roman numerals. For example, 224 = 200 + 20 + 4 = CCXXIV.
- 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: Used when a smaller numeral precedes a larger numeral, indicating subtraction. For example, IV = V I = 5 1 = 4.
- Limitation Rule: Some symbols cannot be repeated, such as V, L, and D, and no symbol can be repeated more than three times in a row.
Explore More numbers
Previous to 224 in Roman Numerals
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.
