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Last updated on May 26th, 2025

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180 in Roman Numerals

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

180 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 180 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on, use Roman numerals. Have you noticed the names and wondered what these symbols (I and II) represented? Those are Roman numerals. In earlier times, people used fingers, sticks, bones, etc., to count.

 

When life became complex, a standard form was required to count. Ancient Romans used the Roman numeral system to count. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols we use to count.

 

In Roman numerals, we use CLXXX to represent 180, where C is 100, L is 50, and XXX is 30. Let’s learn more about Roman numerals and how we write them.

 

180 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 180 in Roman Numerals

There are certain basic rules to write a number in Roman numerals. In this section, let’s discuss some basic rules that need to be remembered when writing a number in Roman numerals.

 

Rule 1: Addition Method

 

The addition method is used when the smaller number is placed after the larger number. For example, CLXXX → C + L + X + X + X → 100 + 50 + 10 + 10 + 10 = 180.

 

Rule 2: Repetition Method

 

To write a large number, certain Roman numerals can be repeated up to three times. For example, XXX → 30 (X is repeated three times).

 

Rule 3: Subtraction Method

 

If a small number is placed before a large number in Roman numerals, we subtract the smaller number from the larger number. For example, IX → X - I → 10 - 1 = 9.

 

Rule 4: Limitation Rule

 

The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we won't write LLL for 150; instead, we use CL.

Professor Greenline from BrightChamps

How to Write 180 in Roman Numerals

Let’s now learn how to write 180 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

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

180 in Roman Numerals 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 180 in Roman numerals using the expansion method.

 

To write 180 in Roman numerals, follow these steps:

 

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

For 180, we write it as 100 + 50 + 30.

Step 2: Convert the numbers into Roman numerals.

100 in Roman numeral — C
50 in Roman numeral — L
30 in Roman numeral — XXX

Step 3: Combine the Roman numerals together.

Therefore, 180 in Roman numerals is C (100) + L (50) + XXX (30) = CLXXX.

Professor Greenline from BrightChamps

180 in Roman Numerals by Grouping Method

When writing a large number in Roman numerals, we group the number.

 

To write 180 in Roman numerals, we group 180 as 100 + 50 + 30.

100 in Roman numeral — C
50 in Roman numeral — L
30 in Roman numeral — XXX

So, 180 is written as CLXXX in Roman numerals.

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Common Mistakes and How to Avoid Them in 180 Roman Numerals

Students often make mistakes when writing numbers in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.

Mistake 1

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Errors in the Repetition Method

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The repetition method can be confusing for beginners as it states that Roman numerals cannot be repeated more than three times. In contrast, some Roman numerals, such as V, L, and D, cannot be repeated.

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180 in Roman Numerals Examples

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Problem 1

A historian is examining CLXXX ancient coins and wants to evenly distribute them among IX exhibitions. How many coins will each exhibition receive?

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Each exhibition will receive XX coins.

Explanation

To find the number of coins per exhibition, divide the total number of coins by the number of exhibitions.

CLXXX = 180

IX = 9

Therefore, CLXXX / IX = 180 / 9 = 20.

20 in Roman numerals is XX.

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Problem 2

An architect is designing a building with CLXXX windows and wants to arrange them in XX rows. How many windows will be in each row?

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Each row will have IX windows.

Explanation

To determine how many windows per row, divide the total number of windows by the number of rows.

CLXXX = 180

XX = 20

Therefore, CLXXX / XX = 180 / 20 = 9.

9 in Roman numerals is IX.

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Problem 3

Calculate the sum of XC and XC.

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The sum of XC and XC is CLXXX.

Explanation

Sum is the result of adding two numbers.

XC = 90

XC = 90

90 + 90 = 180

180 in Roman numerals is CLXXX.

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Problem 4

A library received a shipment of CCLX books but later found that LXXX books were missing. How many books does the library have now?

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The library has CLXXX books.

Explanation

The difference of two numbers is the value obtained when one number is subtracted from another.

CCLX = 260

LXXX = 80

260 - 80 = 180

180 in Roman numerals is CLXXX.

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Problem 5

Write the Roman Numeral for 120 + 60 using the expansion method.

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The Roman numeral for 120 + 60 is CLXXX.

Explanation

Step 1: First convert the numbers 120 and 60 into Roman numerals.

120 - CXX

60 - LX

Add the numbers together: 120 + 60 = 180

Using the expansion method: 180 = 100 + 80 = CLXXX.

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FAQs on 180 in Roman Numerals

1.What is 90 in Roman numerals?

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2.How to write 180 in Roman numerals?

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3.What is 200 in Roman Numerals?

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4.Is CLXXX a composite number?

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5.What are the multiples of 180?

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Professor Greenline from BrightChamps

Important Glossaries for 180 in Roman Numerals

  • Addition Rule: The addition method is used when a large number is followed by a smaller numeral, and the values are added. For example, CLXXX = C + L + XXX = 100 + 50 + 30 = 180.

 

  • Grouping Method: Here, the given number is grouped based on its place value and then converted into Roman numerals. For example, 180 = 100 + 50 + 30 = CLXXX.

 

  • Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeral system can be repeated only up to three times. For example, XXX = 30 (X is repeated three times).

 

  • Subtraction Rule: The subtraction method is used when a smaller numeral precedes a larger one. For example, IX = X - I = 9.

 

  • Limitation Rule: Some symbols like V, L, and D cannot be repeated. For instance, we do not write LLL for 150; we use CL.
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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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