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Last updated on May 26th, 2025

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MDCCXX in Roman Numerals

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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 MDCCXX.

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What is MDCCXX 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. MDCCXX in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., MDCCXX = 1720.

 

Let us learn more about the Roman numeral MDCCXX, how we write them, the mistakes we usually make, and ways to avoid these mistakes.

mdccxx roman numerals

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Basic Rules for MDCCXX 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 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 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.

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How to Write MDCCXX in Roman Numerals?

Let us learn about how to write MDCCXX in Roman numerals. There are two methods that we can use to write Roman numerals:

 

  • By Expansion Method
  • By Grouping Method
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MDCCXX 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 MDCCXX,

 

Step 1: First we break the Roman numerals. MDCCXX = M + D + 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 + X + X = 1000 + 500 + 100 + 100 + 10 + 10 = 1720. Therefore, the Roman Numeral MDCCXX is 1720.

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MDCCXX 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 MDCCXX.

 

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M, DCC, and XX. The numeral for M is 1000 The numeral for DCC is 700 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 DCC and XX to M, and we will get MDCCXX. Therefore, the numeral of MDCCXX is 1720.

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Common Mistakes and How to Avoid Them in MDCCXX 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

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Mistakes when applying the repetition method

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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.

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MDCCXX Roman Numerals Examples

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Problem 1

A Roman artifact was discovered with the inscription MDCCXX. If it was placed there in the year it depicts, how many years ago was it created, considering the current year is 2023?

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It was created 303 years ago.

Explanation

Convert MDCCXX into its decimal form: M = 1000 D = 500

CC = 200

XX = 20

Adding these values gives 1000 + 500 + 200 + 20 = 1720.

Subtract 1720 from 2023 to find how many years ago: 2023 - 1720 = 303

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Problem 2

An ancient scroll mentioned the construction of a building in MDCCXX. If a renovation occurred 150 years later, in what year did the renovation take place? Provide the answer in Roman numerals.

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The renovation took place in MDCCCLXX.

Explanation

Convert MDCCXX into its decimal form: M = 1000

D = 500

CC = 200

XX = 20

Total = 1720

Add 150 years: 1720 + 150 = 1870

Convert 1870 into Roman numerals: M = 1000

D = 500

CCC = 300

L = 50

XX = 20

Combine these to get MDCCCLXX

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Problem 3

If a collection of coins was started in the year MDCCXX and added to every 50 years, in what year was the third addition made? Provide the answer in Roman numerals.

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The third addition was made in MDCCCXX.

Explanation

Start with MDCCXX: M = 1000 D = 500

CC = 200

XX = 20

Total = 1720

Add 50 years twice (for the first and second additions): 1720 + 50 + 50 = 1820

Convert 1820 into Roman numerals: M = 1000 D = 500 CCC = 300 XX = 20

Combine these to get MDCCCXX

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Problem 4

A historian found records of a festival celebrated every 303 years since MDCCXX. When was the last festival celebrated, according to this cycle?

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The last festival was celebrated in MMXXIII.

Explanation

Convert MDCCXX to its decimal form: M = 1000

D = 500

CC = 200

XX = 20

Total = 1720

Add 303 years (the current cycle length): 1720 + 303 = 2023

Convert 2023 into Roman numerals: MM = 2000 XX = 20 III = 3

Combine these to get MMXXIII

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Problem 5

A time capsule from the year MDCCXX was opened in MMX. How many years had passed since the capsule was sealed?

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290 years had passed.

Explanation

Convert both years into decimal form: MDCCXX: M = 1000

D = 500

CC = 200

XX = 20

Total = 1720

MMX: MM = 2000

X = 10

Total = 2010

Subtract to find the difference: 2010 - 1720 = 290

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FAQs on MDCCXX in Roman Numerals

1.What is MCCXX in Roman numerals?

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2.Is MDCCXX a prime number?

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3.What is MDCCXX + MDCCXX?

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4.What is MMXX?

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5.Subtract DCC from MDCCXX

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6.How can children in Vietnam use numbers in everyday life to understand MDCCXX in Roman Numerals?

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7.What are some fun ways kids in Vietnam can practice MDCCXX in Roman Numerals with numbers?

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8.What role do numbers and MDCCXX in Roman Numerals play in helping children in Vietnam develop problem-solving skills?

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9.How can families in Vietnam create number-rich environments to improve MDCCXX in Roman Numerals skills?

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Important Glossaries for MDCCXX in Roman Numerals

  • Roman Numerals: The numeric system used in ancient Rome, employing letters from the Latin alphabet (I, V, X, L, C, D, M).

 

  • Expansion Method: Breaking down a Roman numeral into parts to understand its value.

 

  • Grouping Method: Organizing Roman numerals into groups to simplify calculations.

 

  • Addition Method: Adding values of Roman numerals when a larger or equal value precedes a smaller one.

 

  • Subtraction Method: Subtracting a smaller numeral from a larger one when placed before it, such as IV for 4.
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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.

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Fun Fact

: She loves to read number jokes and games.

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