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Last updated on February 21st, 2025

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400 in Roman Numerals

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Foundation
Intermediate
Advance Topics

Roman numerals are a way of expressing numbers using symbols. The symbols I, V, X, L, C, D, and M are used. Roman Numerals are used in royal titles, book names, sequences, and more. Here we will be discussing Roman Numerals, rules, and examples.

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What is 400 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on, use Roman Numerals. Have you noticed these names and wondered what the symbols (I and II) represented? Those are Roman Numerals. In earlier times, people used fingers, sticks, and bones to count. As life became complex, a standard form was required, and the ancient Romans developed the Roman Numeral system. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used.

 

In Roman Numerals, we use CD to represent 400. Here, C is 100, and D is 500. Let’s learn more about Roman numerals and how we write them.

400 in roman numerals

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Basic Rules for 400 in Roman Numerals

There are certain basic rules for writing numbers in Roman Numerals. Let's discuss these rules that need to be remembered when writing numbers.

 

Rule 1: Addition Method

The addition method is used when a smaller number is placed after a larger number. For example, VI → V + I → 5 + 1 = 6.

 

Rule 2: Repetition Method

Certain Roman Numerals can be repeated up to three times. For example, CCC → 300.

 

Rule 3: Subtraction Method

If a smaller number precedes a larger number, we subtract the smaller number from the larger number. For example, XC → C - X → 100 - 10 = 90.

 

Rule 4: Limitation Rule

Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we use XL for 40 instead of XXXX.

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How to Write 400 in Roman Numerals

Let’s now learn how to write 400 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

 

  • By Expansion Method  

 

  • By Grouping Method
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400 in Roman Numeral by Expansion Method

In the expansion method, based on place value, the number is broken down. In this section, we will learn how to write 400 in Roman numerals using the expansion method.

 

To write 400 in Roman Numerals, follow these steps:

 

Step 1: Break the number based on place value. Place values are ones, tens, hundreds, etc.

 

For 400, we write it as 500 - 100

 
Step 2: Convert the numbers into Roman Numerals  


500 in Roman Numeral — D  


100 in Roman Numeral — C

 
Step 3: Apply the subtraction method.  


Therefore, 400 in Roman Numeral is D (500) - C (100) = CD  

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400 in Roman Numeral by Grouping Method

When writing a large number in Roman Numerals, group the numbers.  


To write 400 in Roman Numerals, we group 400 as 500 - 100.  


500 in Roman Numeral — D  


100 in Roman Numeral — C  


So, 400 is written as CD in Roman Numerals.  

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Common Mistakes and How to Avoid Them in 400 Roman Numerals

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400 in Roman Numerals Examples

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Problem 1

A historian finds two ancient artifacts labeled CC and CC. What is the total historical value of both artifacts in Roman numerals?

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Explanation

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Problem 2

A museum wants to display CD relics equally across L display cases. How many relics will each display case contain?

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Explanation

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Problem 3

A collector has CLXX and needs CCC more to reach CD. How many more does he need in Roman numerals?

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Explanation

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Problem 4

Calculate the difference between CD and CCL.

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Explanation

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Problem 5

Write the Roman numeral for 200 + 200 using the expansion method.

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Explanation

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FAQs on 400 in Roman Numerals

1.What is 90 in Roman numerals?

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2.How to write 400 in Roman numerals?

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3.What is 450 in Roman Numerals?

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4.Is CD a prime number?

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5.What are the multiples of 400?

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Important Glossaries for 400 in Roman Numerals

  • Addition rule: Used when a large number is followed by a smaller numeral, and the values are added. For example, VI = V + I = 5 + 1 = 6.

 

  • Subtraction rule: Used when a smaller numeral precedes a larger one, and the smaller is subtracted from the larger. For example, CD = D - C = 500 - 100 = 400.

 

  • Grouping method: Group numbers based on their place value and convert each group into Roman numerals. For example, 400 = 500 - 100 = CD.

 

  • Repetition rule: Certain symbols (I, X, C, M) can be repeated up to three times. For example, CCC = 300.

 

  • Limitation rule: Symbols like V, L, and D cannot be repeated. For instance, XL is used for 40 instead of XXXX.
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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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