139 LearnersLast updated on May 26th, 2025
MDCCCXX 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 MDCCCXX.
What is MDCCCXX 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.
MDCCCXX in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e. MDCCCXX = 1820. Let us learn more about the Roman numeral MDCCCXX, how we write them, the mistakes we usually make, and ways to avoid these mistakes.
Basic Rules for MDCCCXX 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 larger symbol follows a smaller 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 MDCCCXX in Roman Numerals?
Let us learn about how to write MDCCCXX in Roman numerals. There are two methods that we can use to write Roman numerals:
- By Expansion Method
- By Grouping Method
MDCCCXX 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 MDCCCXX,
Step 1: First we break the Roman numerals. MDCCCXX = M + D + C + C + C + 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 C is 100
The Roman Numeral X is 10
Step 3: Combine all the numbers M + D + C + C + C + X + X = 1000 + 500 + 100 + 100 + 100 + 10 + 10 = 1820.
Therefore, the Roman Numeral MDCCCXX is 1820.
MDCCCXX 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 MDCCCXX.
Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M, DCCC, and XX. The numeral for M is 1000 The numeral for DCCC is 800
Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add XX to MDCCC and we will get MDCCCXX. The Roman numeral XX is 20
Therefore, the numeral of MDCCCXX is 1820.
Numbers Related to MDCCCXX 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 MDCCCXX:
| Roman Numeral | Number | Breakdown |
|---|---|---|
| M | 1000 | M |
| MD | 1500 | M + D |
| MDCCC | 1800 | M + D + C + C + C |
| MDCCCX | 1810 | M + D + C + C + C + X |
| MDCCCXX | 1820 | M + D + C + C + C + X + X |
Common Mistakes and How to Avoid Them in MDCCCXX 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.
MDCCCXX Roman Numerals Examples
Problem 1
Calculate the sum of MDCCCXX + CC. Provide the answer in Roman numerals.
The sum is MMXX.
Explanation
Convert both Roman numerals into their decimal form:
MDCCCXX = 1820
CC = 200
Add both numbers: 1820 + 200 = 2020
Convert the number back into Roman numerals: 2020 = 2000 (MM) + 20 (XX) = MMXX
Problem 2
What is the difference between MDCCCXX and DC? Write the answer in Roman numerals.
The difference is MCCXX.
Explanation
Convert the Roman numerals into their decimal form:
MDCCCXX = 1820
DC = 600
Subtract the numbers: 1820 - 600 = 1220
Convert the number into Roman numerals: 1220 = 1000 (M) + 200 (CC) + 20 (XX) = MCCXX
Problem 3
Divide MDCCCXX by II and express the result in Roman numerals.
CMX is the result.
Explanation
Convert MDCCCXX into its decimal form:
MDCCCXX = 1820
Divide by 2: 1820 / 2 = 910
Convert 910 into Roman numerals: 910 = 900 (CM) + 10 (X) = CMX
Problem 4
What is the product of MDCCCXX and III? Provide the answer in Roman numerals.
The product is VDLX.
Explanation
Convert MDCCCXX and III into decimal form:
MDCCCXX = 1820
III = 3
Multiply the numbers: 1820 × 3 = 5460
Convert 5460 into Roman numerals: 5000 (V) + 400 (CD) + 60 (LX) = VDLX
Problem 5
Convert MDCCCXX into its decimal form.
In decimal form, MDCCCXX is 1820.
Explanation
Break MDCCCXX into components:
M = 1000
DCCC = 800 (D + C + C + C)
XX = 20 (X + X)
Add values: 1000 + 800 + 20 = 1820
FAQs on MDCCCXX in Roman Numerals
1.What is DCCC in Roman numerals?
2.Is MDCCCXX a prime number?
3.What is MDCCCXX + MDCCCXX?
4.What is MMCCCXX?
5.Subtract CCC from MDCCCXX
6.How can children in United States use numbers in everyday life to understand MDCCCXX in Roman Numerals?
7.What are some fun ways kids in United States can practice MDCCCXX in Roman Numerals with numbers?
8.What role do numbers and MDCCCXX 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 MDCCCXX in Roman Numerals skills?
Important Glossaries for MDCCCXX in Roman Numerals
- Addition Method: Adding values of Roman numerals in sequence when a smaller numeral follows a larger numeral.
- Grouping Method: Breaking down Roman numerals into logical groups to simplify the calculation process.
- 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.
- Repetition Method: Using the same Roman numeral up to three times to represent larger numbers.
- Subtraction Method: Representing numbers by placing a smaller numeral before a larger numeral to indicate subtraction.
Explore More numbers
Previous to MDCCCXX 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.
