156 LearnersLast updated on May 26th, 2025
CMXXIV in 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 CMXXIV.
What is CMXXIV 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. CMXXIV in Roman numerals can be written in number form by adding and subtracting the values of each Roman numeral, i.e., CMXXIV = 924.
Let us learn more about the Roman numeral CMXXIV, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for CMXXIV 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 repeated up to 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, CM = 900 (which is 1000 – 100).
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 CMXXIV in Roman Numerals?
Let us learn about how to write CMXXIV in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
CMXXIV in Roman Numeral 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 and subtract the numerals together.
For CMXXIV,
Step 1: First we break the Roman numerals. CMXXIV = C + M + X + X + IV
Step 2: Write the Roman Numerals for each part The Roman Numeral C is 100 The Roman Numeral M is 1000 The Roman Numeral X is 10 The Roman Numeral IV is 4
Step 3: Combine all the numbers C + M + X + X + IV = 1000 - 100 + 10 + 10 + 4 = 924. Therefore, the Roman Numeral CMXXIV is 924.
CMXXIV in Roman Numeral 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 CMXXIV.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are CM, XX, and IV. The numeral for CM is 900
Step 2: Now we need to either add or subtract the smaller number, depending on its place.
Here we add XX and IV to CM and we will get CMXXIV. The Roman numeral XX is 20, and IV is 4 Therefore, the numeral of CMXXIV is 924.
Numbers Related to CMXXIV 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 CMXXIV:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| C | 100 | C |
| CM | 900 | C + M |
| CMX | 910 | C + M + X |
| CMXX | 920 | C + M + X + X |
| CMXXI | 921 | C + M + X + X + I |
| CMXXII | 922 | C + M + X + X + I + I |
| CMXXIII | 923 | C + M + X + X + I + I + I |
| CMXXIV | 924 | C + M + X + X + IV |
Common Mistakes and How to Avoid Them in CMXXIV 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.
CMXXIV Roman Numerals Examples
Problem 1
What is the result of adding CMXXIV and LXXVI? Write the answer in Roman numerals.
The sum is M.
Explanation
Convert both Roman numerals into their decimal form:
CMXXIV = 924
LXXVI = 76
Now add both numbers: 924 + 76 = 1000
Now convert the number into its Roman numeral: 1000 = M
Problem 2
Subtract DCCLXXVIII from CMXXIV and express the result as a Roman numeral.
The difference is CXLVI.
Explanation
Convert the Roman numerals into their decimal form:
CMXXIV = 924
DCCLXXVIII = 778
Now, subtract the numbers: 924 - 778 = 146
Convert the number into its Roman numeral: 146 = 100 (C) + 40 (XL) + 6 (VI) = CXLVI
Problem 3
What is CMXXIV divided by VIII? Provide the answer in Roman numerals.
CXV
Explanation
Convert CMXXIV into its decimal form:
CMXXIV = 924
Divide by 8: 924 / 8 = 115
Write 115 in Roman numerals: 115 = 100 (C) + 10 (X) + 5 (V) = CXV
Problem 4
Calculate the product of CMXXIV and III.
The product is MMDCCCLXXII.
Explanation
Convert CMXXIV and III into their decimal form:
CMXXIV = 924
III = 3
Multiply the numbers: 924 × 3 = 2772
Convert 2772 into its Roman numerals: 2000 (MM) + 700 (DCC) + 70 (LXX) + 2 (II) = MMDCCCLXXII
Problem 5
Express CMXXIV as a decimal number.
In decimal form, CMXXIV is 924.
Explanation
Break CMXXIV into components:
CM = 900 (1000 - 100)
XX = 20 (10 + 10)
IV = 4 (5 - 1)
Add the values: 900 + 20 + 4 = 924
FAQs on CMXXIV in Roman Numerals
1.What is MCMXXIV in Roman numerals?
2.Is CMXXIV a prime number?
3.What is CMXXIV + CMXXIV?
4.What is MXXIV?
5.Subtract CD from CMXXIV
6.How can children in Vietnam use numbers in everyday life to understand CMXXIV in Roman Numerals?
7.What are some fun ways kids in Vietnam can practice CMXXIV in Roman Numerals with numbers?
8.What role do numbers and CMXXIV 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 CMXXIV in Roman Numerals skills?
Important Glossaries for CMXXIV in Roman Numerals
- Subtraction Method: A smaller numeral placed before a larger numeral indicates subtraction, such as IV for 4.
- Limitation Rule: Certain symbols cannot be repeated more than once (V, L, D). For example, 60 is LX, not LVV.
- Place Value: The position of a numeral in a sequence determines its value, such as the 100 in 924 standing for CM.
- Prime Number: A number with only two distinct divisors: 1 and itself. For instance, 23 is a prime number.
- Expansion Method: A technique where Roman numerals are broken into components to calculate their total value.
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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.
