156 LearnersLast updated on May 26th, 2025
MCMXXVIII 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 MCMXXVIII.
What is MCMXXVIII 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. MCMXXVIII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., MCMXXVIII = 1928.
Let us learn more about the Roman numeral MCMXXVIII, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for MCMXXVIII 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 MCMXXVIII in Roman Numerals?
Let us learn about how to write MCMXXVIII in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
MCMXXVIII 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 the numerals together. For MCMXXVIII,
Step 1: First, we break the Roman numerals. MCMXXVIII = M + CM + X + X + V + I + I + I
Step 2: Write the Roman Numerals for each part. The Roman Numeral M is 1000 The Roman Numeral CM is 900 The Roman Numeral X is 10 The Roman Numeral V is 5 The Roman Numeral I is 1
Step 3: Combine all the numbers. M + CM + X + X + V + I + I + I = 1000 + 900 + 10 + 10 + 5 + 1 + 1 + 1 = 1928. Therefore, the Roman Numeral MCMXXVIII is 1928.
MCMXXVIII 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 MCMXXVIII.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M, CM, and XXVIII. The numeral for M is 1000, CM is 900, and XXVIII is 28.
Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add CM to M and XXVIII, and we will get MCMXXVIII. The Roman numeral XXVIII is 28. Therefore, the numeral of MCMXXVIII is 1928.
Numbers Related to MCMXXVIII 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 MCMXXVIII:
| Number | Roman Numeral | Breakdown |
|---|---|---|
| 1920 | MCMXX | 1000 + (1000 - 100) + 10 = 1920 |
| 1921 | MCMXXI | 1000 + (1000 - 100) + 10 + 1 = 1921 |
| 1922 | MCMXXII | 1000 + (1000 - 100) + 10 + 2 = 1922 |
| 1923 | MCMXXIII | 1000 + (1000 - 100) + 10 + 3 = 1923 |
| 1924 | MCMXXIV | 1000 + (1000 - 100) + 10 + 4 = 1924 |
| 1925 | MCMXXV | 1000 + (1000 - 100) + 10 + 5 = 1925 |
| 1926 | MCMXXVI | 1000 + (1000 - 100) + 10 + 6 = 1926 |
| 1927 | MCMXXVII | 1000 + (1000 - 100) + 10 + 7 = 1927 |
| 1928 | MCMXXVIII | 1000 + (1000 - 100) + 10 + 8 = 1928 |
| 1929 | MCMXXIX | 1000 + (1000 - 100) + 10 + 9 = 1929 |
Common Mistakes and How to Avoid Them in MCMXXVIII 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 MCM (1900) and forgetting XXVIII (28) for 1928.
Recheck steps once done during any arithmetic operation.
MCMXXVIII Roman Numerals Examples
Problem 1
Find the sum of MCMXXVIII + LXXII. Write the answer in Roman numerals.
The sum is MM
Explanation
Convert both Roman numerals into their decimal form: MCMXXVIII = 1928
LXXII = 72
Now add both numbers: 1928 + 72 = 2000
Now convert the number into its Roman numeral: 2000 = MM
Problem 2
What is the difference between MMX - MCMXXVIII? Write in Roman numerals.
The difference is LXXXII
Explanation
Convert the Roman numerals into their decimal form: MMX = 2010
MCMXXVIII = 1928
Now we subtract the numbers: 2010 - 1928 = 82
Convert the number into its Roman numeral: 82 = 80 (LXXX) + 2 (II) = LXXXII
Problem 3
Divide MCMXXVIII by 4 and write the answer in Roman numerals.
CDLXXXII
Explanation
Convert MCMXXVIII into its decimal form: MCMXXVIII = 1928
Divide by 4: 1928/4 = 482
Write 482 in Roman numerals: 482 = 400 (CD) + 80 (LXXX) + 2 (II) = CDLXXXII
Problem 4
Find the product of MCMXXVIII and II.
MMMDCCCLVI is the product of MCMXXVIII and II.
Explanation
Write MCMXXVIII and II in numbers: MCMXXVIII = 1928
II = 2
Multiply the numbers: 1928 × 2 = 3856
Convert 3856 into its Roman numerals: 3000 (MMM) + 800 (DCCC) + 50 (L) + 6 (VI) = MMMDCCCLVI
Problem 5
Convert MCMXXVIII into its decimal form.
In decimal form, MCMXXVIII is 1928
Explanation
Break MCMXXVIII into components: MCM = 1900 (1000 (M) + 900 (CM)) XXVIII = 28 (20 (XX) + 8 (VIII))
Add values: 1900 + 28 = 1928
FAQs on MCMXXVIII in Roman Numerals
1.What is MCM in Roman numerals?
2.Is MCMXXVIII a prime number?
3.What is MCMXXVIII + MCMXXVIII?
4.What is MMXXVIII?
5.Subtract XXVIII from MCMXXVIII
6.How can children in Singapore use numbers in everyday life to understand MCMXXVIII Roman Numerals?
7.What are some fun ways kids in Singapore can practice MCMXXVIII Roman Numerals with numbers?
8.What role do numbers and MCMXXVIII Roman Numerals play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve MCMXXVIII Roman Numerals skills?
Important Glossaries for MCMXXVIII 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 1928 is in the hundred's place.
- Subtraction Method: A method of writing Roman numerals where a smaller numeral is placed before a larger one to indicate subtraction. For example, CM is 900.
- Prime Number: A number that has only two factors or multiples is called a prime number. For example, 23 is a prime number that has only two factors: 1 and itself.
- Expansion Method: A way of writing Roman numerals by breaking them down into parts and converting them into numerical form for easier addition.
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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.
