148 LearnersLast updated on May 26th, 2025
MDXX 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 MDXX.
What is MDXX 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. MDXX in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., MDXX = 1520.
Let us learn more about the Roman numeral MDXX, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
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Basic Rules for MDXX 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 VI, we have 5 + 1 = 6.
Rule 2: Repetition Method:
A symbol that is repeated three times in continuation increases the value of the numeral. For example, CCC = 300.
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, not VV.
How to Write MDXX in Roman Numerals?
Let us learn about how to write MDXX in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
MDXX 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 involves breaking down 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 MDXX,
Step 1: First, we break the Roman numerals. MDXX = M + D + X + X
Step 2: Write the Roman Numerals for each part The Roman Numeral M is 1000 The Roman Numeral D is 500 The Roman Numeral X is 10
Step 3: Combine all the numbers M + D + X + X = 1000 + 500 + 10 + 10 = 1520. Therefore, the Roman Numeral MDXX is 1520.
MDXX 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 MDXX.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M and DXX. The numeral for M is 1000 The numeral for DXX is 520
Step 2: Add these groups to get the final number. M + DXX = 1000 + 520 = 1520. Therefore, the numeral of MDXX is 1520.
Numbers Related to MDXX 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 MDXX:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| MDXVI | 1516 | M + D + X + V + I |
| MDXVII | 1517 | M + D + X + V + I + I |
| MDXVIII | 1518 | M + D + X + V + I + I + I |
| MDXIX | 1519 | M + D + X + IX |
| MDXX | 1520 | M + D + XX |
| MDXXI | 1521 | M + D + XX + I |
| MDXXII | 1522 | M + D + XX + I + I |
| MDXXIII | 1523 | M + D + XX + I + I + I |
| MDXXIV | 1524 | M + D + XX + IV |
| MDXXV | 1525 | M + D + XX + V |
Common Mistakes and How to Avoid Them in MDXX 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, IC instead of XCIX for the number 99 is incorrect.
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 the correct 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 MDX (1510) and forgetting X (10) for 1520. Recheck steps once done during any arithmetic operation.
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MDXX Roman Numerals Examples
Problem 1
Determine the sum of MDXX and CCCL. Write the answer using Roman numerals.
The sum is MDCCLXX
Explanation
Convert the Roman numerals into their decimal forms:
MDXX = 1520
CCCL = 350
Add the numbers: 1520 + 350 = 1870
Now convert 1870 into Roman numerals: 1870 = 1000 (M) + 800 (DCCC) + 70 (LXX) = MDCCLXX
Problem 2
What is the difference between MDXX and CCLX? Write it in Roman numerals.
The difference is MCCLX
Explanation
Convert the Roman numerals into their decimal forms:
MDXX = 1520
CCLX = 260
Subtract the numbers: 1520 - 260 = 1260
Convert 1260 into Roman numerals: 1260 = 1000 (M) + 200 (CC) + 60 (LX) = MCCLX
Problem 3
Divide MCCCXL by 4 and express the result in Roman numerals.
CCCXXXV
Explanation
Convert MCCCXL into its decimal form:
MCCCXL = 1340
Divide by 4: 1340 / 4 = 335
Convert 335 into Roman numerals: 335 = 300 (CCC) + 30 (XXX) + 5 (V) = CCCXXXV
Problem 4
Calculate the product of MDXX and IV.
The product of MDXX and IV is DCXXX
Explanation
Convert MDXX and IV into numbers:
MDXX = 1520
IV = 4
Multiply the numbers: 1520 × 4 = 6080
Convert 6080 into Roman numerals: 6080 = 6000 (MMMMM) + 80 (LXXX) = MMMMMLXXX
Problem 5
Convert MDXX into its decimal form.
In decimal form, MDXX is 1520
Explanation
Break MDXX into components:
M = 1000
D = 500
XX = 20 (X + X)
Add values: 1000 + 500 + 20 = 1520
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FAQs on MDXX in Roman Numerals
1.What is DXX in Roman numerals?
2.Is MDXX a prime number?
3.What is MDXX + MDXX?
4.What is MX?
5.Subtract XX from MDXX
6.How can children in United States use numbers in everyday life to understand MDXX in Roman Numerals?
7.What are some fun ways kids in United States can practice MDXX in Roman Numerals with numbers?
8.What role do numbers and MDXX in Roman Numerals play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve MDXX in Roman Numerals skills?
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Important Glossaries for MDXX 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 1520 is in the ten's place.
- Subtraction Method: A way to form numbers by placing a smaller numeral before a larger numeral to indicate subtraction. For example, IX is 9 (10-1).
- Addition Method: The process of adding values of Roman numerals when a larger numeral is followed by a smaller one. For example, VI is 6 (5+1).
- Grouping Method: A technique to simplify Roman numerals by breaking them into groups to add or subtract easily, like splitting MDXX into M and DXX.
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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.
