194 LearnersLast updated on May 26th, 2025
MXXIV Roman Numerals
To meet their daily commerce and administration needs, the ancient Romans developed Roman Numerals. It used a combination of seven symbols — I, V, X, L, C, D, and M to represent numbers. Roman numerals were used to record transactions, keep track of data, and label military units. In this topic, we are going to learn about the Roman numeral MXXIV.
What is MXXIV in Roman Numerals?
Ancient Romans discovered that counting fingers could get very complicated after 10. So to overcome the complexity, the Roman numeric system was developed. This was widely used throughout Europe as a standard writing system until the late Middle Ages.
Seven symbols are used to represent numbers in the Roman numeric system — I, V, X, L, C, D, and M. The numerals are made up of different combinations of these symbols. MXXIV in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., MXXIV = 1024.
Let us learn more about the Roman numeral MXXIV, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
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Basic Rules for MXXIV in Roman Numerals
When writing Roman numerals, there are a few rules that we need to follow based on the Roman numerals we are trying to write. In this section, we will learn about the rules when writing Roman numerals and how to represent them.
Rule 1: Addition Method:
When a larger symbol is followed by a smaller symbol, we add the numerals to each other. For example, in VIII, we have 5 + 3 = 8.
Rule 2: Repetition Method:
A symbol that is repeated three times in continuation increases the value of the numeral. For example, XXX = 30.
Rule 3: Subtraction Method:
We use the subtraction method when a smaller symbol precedes a larger symbol. For example, XL = 40 (which is 50 – 10).
Rule 4: Limitation Rule:
Symbols cannot be repeated more than three times, and some symbols, such as V, L, and D cannot be repeated more than once. For example, 10 is represented as X and not VV.
How to Write MXXIV in Roman Numerals?
Let us learn about how to write MXXIV in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
MXXIV in Roman Numerals by Expansion Method
The breaking down of Roman numerals into parts and then converting them into numerals is what we call the expansion method. The expansion method is the breaking down of Roman numerals into numerical form and adding them to get the final number.
Step 1: Break the Roman numerals into parts.
Step 2: Now write each of the Roman numerals with its numerical digit in the place value.
Step 3: Add the numerals together.
For MXXIV,
Step 1: First, we break the Roman numerals. MXXIV = M + X + X + IV
Step 2: Write the Roman Numerals for each part The Roman Numeral M is 1000 The Roman Numeral X is 10 The Roman Numeral IV is 4
Step 3: Combine all the numbers M + X + X + IV = 1000 + 10 + 10 + 4 = 1024. Therefore, the Roman Numeral MXXIV is 1024.
MXXIV in Roman Numerals by Grouping Method
Using subtraction and addition rules, we will apply the grouping method. This means we break the Roman numerals into smaller groups, which makes it easier to work with. This method groups the Roman numerals logically, and then we write the numbers for each group.
Step 1: Take the largest number and write the number for that Roman numeral.
Step 2: Write the Roman numeral using the subtraction and addition rules.
Example: Let’s take the Roman numeral MXXIV.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M, XX, and IV. The numeral for M is 1000 The numeral for XX is 20
Step 2: Now we need to either add or subtract the smaller number, depending on its place.
Here we add XX and IV to M and we will get MXXIV. The Roman numeral IV is 4 Therefore, the numeral of MXXIV is 1024.
Numbers Related to MXXIV in Roman Numerals
We follow a pattern when it comes to writing Roman numerals. In this section, we will write some numbers related to the Roman numeral MXXIV:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| MXXIV | 1024 | M + X + X + IV |
| MXXV | 1025 | M + X + X + V |
| MXXVI | 1026 | M + X + X + V + I |
| MXXVII | 1027 | M + X + X + V + I + I |
| MXXVIII | 1028 | M + X + X + V + I + I + I |
| MXXIX | 1029 | M + X + X + IX |
Common Mistakes and How to Avoid Them in MXXIV Roman Numerals
Students can make mistakes when studying Roman numerals. Here are a few common mistakes students make, and ways to avoid them.
Mistake 1
Mistakes when applying the repetition method
It can be quite confusing for beginners to remember that Roman Numerals cannot be repeated more than three times. Another thing to keep in mind is that Roman Numerals such as V, L, and D cannot be repeated.
For example, writing LL as 100 is incorrect; the correct answer is C.
Mistake 2
Not subtracting the numerals correctly
The subtraction method is used when a smaller symbol precedes a larger symbol. One should also remember that only specific symbols can be subtracted, like I and X.
For example, IL instead of XLIX for the number 49.
Mistake 3
Not grouping the numbers correctly.
When writing Roman numerals, we need to group the numbers correctly.
For example, the number 15, 10(X) + 5(V).
Mistake 4
Confusing similar-looking symbols for other numbers
Certain numerals have different numbers when placed in a different order. So we must make sure to fully understand the order of certain symbols and their placements. All symbols have to be placed in a different order to represent the correct number.
For example, IV(4) and VI(6) have the same symbols but are in different orders.
Mistake 5
Not counting all numbers when writing in Roman numerals.
Forgetting to count all numbers, when doing the expansion method or grouping method, can lead to mistakes.
For example, writing MXX(1020) and forgetting IV(4) for 1024. Recheck steps once done during any arithmetic operation.
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MXXIV Roman Numerals Examples
Problem 1
If an ancient artifact is marked with the year MXXIV and another is marked with the year DCCLIV, calculate the combined age of both artifacts in Roman numerals, given that the current year is MMXXIII.
The combined age is MMMCDXCIX.
Explanation
First, convert the Roman numerals to decimal form:
MXXIV = 1024
DCCLIV = 754
Calculate the age of each artifact: MMXXIII - MXXIV = 999
MMXXIII - DCCLIV = 1269
Now, add their ages: 999 + 1269 = 2268
Convert 2268 into Roman numerals: 2000 (MM) + 200 (CC) + 60 (LX) + 8 (VIII) = MMCCLXVIII
Problem 2
A historian finds two scrolls dated MXXIV and MCXV. What is the difference in years between the two scrolls in Roman numerals?
The difference is CMIX.
Explanation
Convert both Roman numerals to decimal:
MXXIV = 1024
MCXV = 1115
Subtract the earlier date from the later one: 1115 - 1024 = 91
Convert 91 into Roman numerals: 90 (XC) + 1 (I) = XCI
Problem 3
A scholar needs to divide the number MXXIV by VIII. What is the result in Roman numerals?
The result is CXXVIII.
Explanation
Convert MXXIV into its decimal form:
MXXIV = 1024
Divide 1024 by 8: 1024 / 8 = 128
Convert 128 into Roman numerals: 100 (C) + 20 (XX) + 8 (VIII) = CXXVIII
Problem 4
Calculate the product of M and XXIV in Roman numerals.
The product is XXIV.
Explanation
Convert M and XXIV to decimal numbers:
M = 1000
XXIV = 24
Calculate the product: 1000 × 24 = 24000 Convert 24000 to Roman numerals: Since standard Roman numerals do not typically represent numbers this large, the product would be expressed using a notation involving lines or parentheses.
However, in this example, the Roman numeral representation of such a large number is not typically encountered in standard numeral systems.
Problem 5
Convert MXXIV into its decimal form.
In decimal form, MXXIV is 1024.
Explanation
Break MXXIV into components:
M = 1000
XX = 20 (X + X)
IV = 4 (V - I)
Add values: 1000 + 20 + 4 = 1024
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FAQs on MXXIV in Roman Numerals
1.What is MMXXIV in Roman numerals?
2.Is MXXIV a prime number?
3.What is MXXIV + MXXIV?
4.What is MMMXXIV?
5.Subtract XL from MXXIV
6.How can children in United Kingdom use numbers in everyday life to understand MXXIV Roman Numerals?
7.What are some fun ways kids in United Kingdom can practice MXXIV Roman Numerals with numbers?
8.What role do numbers and MXXIV Roman Numerals play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve MXXIV Roman Numerals skills?
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Important Glossaries for MXXIV in Roman Numerals
- Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, LVV for 60 is wrong; the correct answer is LX.
- Place Value: The position of a digit in a number, this position determines its value. For example, the number 2 in 1024 is in the hundred's place.
- Prime Number: A number that has only two factors or multiples is called a prime number. For example, 29 is a prime number that has only two factors: 1 and itself.
- Subtraction Method: A technique in Roman numerals where a smaller numeral precedes a larger numeral to indicate subtraction. For instance, IV is 4 (5-1).
- Grouping Method: A method used to simplify Roman numerals by breaking them into smaller groups for easier calculation and understanding.
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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.
Fun Fact
: She loves to read number jokes and games.
