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Last updated on May 26th, 2025

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MDCC 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 MDCC.

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What is MDCC 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. MDCC in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., MDCC = 1700.

 

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

mdcc roman numerals

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Basic Rules for MDCC 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 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.

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How to Write MDCC in Roman Numerals?

Let us learn about how to write MDCC 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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MDCC 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 MDCC,

 

Step 1: First we break the Roman numerals. MDCC = M + D + C + C

 

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

 

Step 3: Combine all the numbers M + D + C + C = 1000 + 500 + 100 + 100 = 1700. Therefore, the Roman Numeral MDCC is 1700.

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MDCC 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 MDCC.

 

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are M, D, and CC. The numeral for M is 1000

 

Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add D and CC to M and we will get MDCC. The Roman numeral D is 500 The Roman numeral CC is 200 Therefore, the numeral of MDCC is 1700.

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Common Mistakes and How to Avoid Them in MDCC 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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MDCC Roman Numerals Examples

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Problem 1

Calculate the sum of MDCC + CCL. Write the answer in Roman numerals.

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The sum is MMXCV.

Explanation

Convert both Roman numerals into their decimal form: MDCC = 1700

CCL = 250

Now add both numbers: 1700 + 250 = 1950

Now convert the number into its Roman numeral: 1950 = 1000 (M) + 900 (CM) + 50 (L) = MMXCV

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Problem 2

What is the difference between MMCC and MDCC? Write in Roman numerals.

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The difference is D.

Explanation

Convert the Roman numerals into their decimal form: MMCC = 2200

MDCC = 1700

Now we subtract the numbers: 2200 - 1700 = 500

Convert the number into its Roman numeral: 500 = D

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Problem 3

Divide MDCC by IV and write the answer in Roman numerals.

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CDXXV

Explanation

Convert MDCC into its decimal form: MDCC = 1700

Divide by 4: 1700 / 4 = 425

Write 425 in Roman numerals: 425 = 400 (CD) + 20 (XX) + 5 (V) = CDXXV

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Problem 4

Find the product of MDCC and III.

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MDCC is multiplied by III to get DCC.

Explanation

Write MDCC and III in numbers: MDCC = 1700

III = 3

Multiply the numbers: 1700 × 3 = 5100

Convert 5100 into its Roman numerals: 5000 (V) + 100 (C) = DCC

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Problem 5

Convert MDCC into its decimal form.

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In decimal form, MDCC is 1700.

Explanation

Break MDCC into components: M = 1000

D = 500

CC = 200 (C + C)

Add values: 1000 + 500 + 200 = 1700

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FAQs on MDCC in Roman Numerals

1.What is MCC in Roman numerals?

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2.Is MDCC a prime number?

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3.What is MDCC + MDCC?

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4.What is MCCC?

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5.Subtract CCC from MDCC

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

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

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8.What role do numbers and MDCC 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 MDCC in Roman Numerals skills?

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Important Glossaries for MDCC in Roman Numerals

  • Addition Method: A method where larger Roman numerals followed by smaller ones are added together.

 

  • Subtraction Method: A method where a smaller numeral preceding a larger numeral indicates subtraction.

 

  • Place Value: The numerical value that a digit has by virtue of its position in a number.

 

  • Roman Numeral System: A numeral system originating in ancient Rome using combinations of letters from the Latin alphabet (I, V, X, L, C, D, M).

 

  • Grouping Method: A way to simplify Roman numerals by breaking them into smaller groups for easier calculation.
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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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