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Last updated on May 26th, 2025

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480 in Roman Numerals

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Roman numerals are a system of expressing numbers using specific symbols: I, V, X, L, C, D, and M. These symbols are used in various contexts like royal titles, book names, sequences, and more. Here we will discuss Roman numerals, rules, and examples.

480 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 480 in Roman Numerals?

Roman numerals appear in contexts like royal titles, such as Henry VIII. These symbols represent numbers in a unique way. Ancient Romans developed this system as a standard way to count using symbols.

 

The primary symbols include I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). In Roman numerals, we use CDLXXX to represent 480, where C is 100, D is 500, L is 50, and X is 10.

 

Let’s explore more about Roman numerals and how they are written.480 in roman numerals

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Basic Rules for 480 in Roman Numerals

Several basic rules apply to writing numbers in Roman numerals. Here, we will discuss some essential rules when writing numbers in Roman numerals.

 

Rule 1: Addition Method

 

When a smaller number is placed after a larger number, it is added to the larger one. For example, LX → L + X → 50 + 10 = 60.

 

Rule 2: Repetition Method

 

Certain Roman numerals can be repeated up to three times to form other numbers. For example, XXX → 30.

 

Rule 3: Subtraction Method

 

If a smaller number precedes a larger number, the smaller number is subtracted from the larger one. For example, XL → L - X → 50 - 10 = 40.

 

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, 80 is written as LXXX, not XXXXL.

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How to Write 480 in Roman Numerals

Let’s learn how to write 480 in Roman numerals using different methods.

 

  • By Expansion Method
  • By Grouping Method
Professor Greenline from BrightChamps

480 in Roman Numerals by Expansion Method

In the expansion method, a number is broken down based on place value. Here's how to write 480 in Roman numerals using the expansion method. To write 480, follow these steps:

 

Step 1: Break down the number based on place value: hundreds, tens, and ones. For 480, write it as 400 + 80.

 

Step 2: Convert each part to Roman numerals: 400 in Roman numerals is CD. 80 in Roman numerals is LXXX.

 

Step 3: Combine the Roman numerals together. Therefore, 480 in Roman numerals is CD (400) + LXXX (80) = CDLXXX.

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480 in Roman Numerals by Grouping Method

When writing a number in Roman numerals, grouping helps in simplifying the process. To write 480 in Roman numerals, group it as 400 + 80:

 

  • 400 in Roman numerals is CD.
     
  • 80 in Roman numerals is LXXX.

 

So, 480 is written as CDLXXX in Roman numerals.

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Common Mistakes and How to Avoid Them in 480 Roman Numerals

Writing Roman numerals can be tricky. To master them, it’s essential to understand common mistakes and how to avoid them.

Mistake 1

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Errors in Repetition Method

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The repetition method can confuse beginners as Roman numerals cannot be repeated more than three times. Symbols like V, L, and D cannot be repeated.

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480 in Roman Numerals Examples

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Problem 1

Calculate the total cost if each item is priced at CDLXXX and you buy X items.

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The total cost for X items is MMMDCCC.

Explanation

In Roman numerals, CDLXXX is 480 and X is 10.

The total cost is found by multiplying the price per item by the number of items.

Therefore, CDLXXX × X = 480 × 10 = 4800.

4800 in Roman numerals is MMMDCCC.

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Problem 2

A historian discovered a manuscript dated CCCCXC years ago. How many years back was it from CDLXXX?

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The manuscript was discovered X years after the year CDLXXX.

Explanation

In Roman numerals, CDLXXX is 480 and CCCCXC is 490.

The difference between the two years is calculated as 490 - 480 = 10.

Therefore, the manuscript dates back 10 years after 480.

In Roman numerals, 10 is X.

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Problem 3

A library added CDXL books to their collection of XL books. How many books does the library have now?

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The library now has DXXX books.

Explanation

In Roman numerals, CDXL is 440 and XL is 40.

Adding these together gives 440 + 40 = 480.

Therefore, the library now has 480 books, which is represented as CDLXXX in Roman numerals.

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Problem 4

If a journey takes DCCL hours and another takes CDLXXX hours, how much longer is the first journey than the second?

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The first journey is CCLXX hours longer than the second.

Explanation

In Roman numerals, DCCL is 750 and CDLXXX is 480.

The difference in time is 750 - 480 = 270.

Therefore, the first journey is 270 hours longer, which is written as CCLXX in Roman numerals.

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Problem 5

Convert the sum of CCCLXX and CX into Roman numerals.

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The sum of CCCLXX and CX is CDLXXX.

Explanation

CCCLXX is 370 and CX is 110 in Roman numerals.

Adding these gives 370 + 110 = 480.

Therefore, the sum is 480, which is written as CDLXXX in Roman numerals.

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FAQs on 480 in Roman Numerals

1.What is 400 in Roman numerals?

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2.How to write 480 in Roman numerals?

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3.What is 450 in Roman Numerals?

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4.Is CDLXXX a prime number?

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5.What are the multiples of 480?

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Important Glossaries for 480 in Roman Numerals

  • Addition Rule: When a larger numeral is followed by a smaller one, the values are added. Example: LX = L + X = 50 + 10 = 60.
     
  • Grouping Method: Numbers are grouped based on place value, then converted to Roman numerals. For example, 480 = 400 + 80 = CDLXXX.
     
  • Subtraction Rule: When a smaller numeral precedes a larger one, the smaller is subtracted from the larger. Example: XL = L - X = 50 - 10 = 40.
     
  • Repetition Rule: Symbols like I, X, C, and M can be repeated up to three times. Example: XXX = 30.
     
  • Limitation Rule: V, L, and D cannot be repeated. Example: 80 is LXXX, not XXXXXXXVIII.
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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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