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Last updated on May 26th, 2025

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172 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.

172 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 172 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on, often use Roman numerals. Have you noticed these names and wondered what these symbols (I, II) represent? Those are Roman numerals.

 

In ancient times, people used to count using fingers, sticks, bones, etc. As life became more complex, a standard form was required to count. Ancient Romans used the Roman numeral system for this purpose. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols used for counting.

 

In Roman numerals, we use CLXXII to represent 172, where C is 100, L is 50, XX is 20, and II is 2. Let’s learn more about Roman numerals and how we write them.

 

172 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 172 in Roman Numerals

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

 

Rule 1: Addition Method

 

The addition method is used when a smaller number is placed after a larger number. For example, CLXXII → C + L + XX + II → 100 + 50 + 20 + 2 = 172

 

Rule 2: Repetition Method

 

To write larger numbers, certain Roman numerals can be repeated up to three times. For example, XX → 20.

 

Rule 3: Subtraction Method

 

If a smaller number precedes a larger number in Roman numerals, the smaller number is subtracted 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 don't write LL for 100; instead, we use C.

Professor Greenline from BrightChamps

How to Write 172 in Roman Numerals

Let’s now learn how to write 172 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

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

172 in Roman Numerals by Expansion Method

In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 172 in Roman numerals using the expansion method.

 

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

For 172, we write it as 100 + 50 + 20 + 2.

 

Step 2: Convert the numbers into Roman numerals.


- 100 in Roman numeral — C
- 50 in Roman numeral — L
- 20 in Roman numeral — XX
- 2 in Roman numeral — II

 

Step 3: Combine the Roman numerals together.


Therefore, 172 in Roman numerals is C (100) + L (50) + XX (20) + II (2) = CLXXII.

Professor Greenline from BrightChamps

172 in Roman Numerals by Grouping Method

When writing large numbers in Roman numerals, we group the numbers. To write 172 in Roman numerals, we group 172 as 100 + 50 + 20 + 2.


- 100 in Roman numeral — C
- 50 in Roman numeral — L
- 20 in Roman numeral — XX
- 2 in Roman numeral — II

 

So, 172 is written as CLXXII in Roman numerals.

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Common Mistakes and How to Avoid Them in 172 Roman Numerals

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

Mistake 1

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Errors in 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 of the Roman numerals such as V, L, and D cannot be repeated.

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172 in Roman Numerals Examples

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Problem 1

A historian is cataloging ancient artifacts labeled CLXXII and XXV. What is the total number of artifacts?

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The total number of artifacts is CXCVII.

Explanation

To find the total, we add the two numbers.

CLXXII = 172

XXV = 25

172 + 25 = 197

197 in Roman Numerals is CXCVII.

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Problem 2

A librarian has a collection of CCCXLIV manuscripts and wants to distribute them equally into II groups. How many manuscripts will each group receive?

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Each group will receive CLXXII manuscripts.

Explanation

To determine the number of manuscripts per group, we divide the total number by the number of groups.

CCCXLIV = 344

II = 2

344 / 2 = 172

172 in Roman numerals can be written as CLXXII.

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Problem 3

Combine the value of CLXXII with XXXVIII and express the result in Roman numerals.

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The combined value is CCX.

Explanation

To find the sum, add the two numbers.

CLXXII = 172

XXXVIII = 38

172 + 38 = 210

210 in Roman Numerals is CCX.

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Problem 4

Determine the difference between CC and CLXXII.

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The difference between CC and CLXXII is XXVIII.

Explanation

The difference is found by subtracting the smaller number from the larger number.

CC = 200

CLXXII = 172

200 - 172 = 28

28 in Roman Numerals is XXVIII.

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Problem 5

Convert 172 into Roman numerals using the expansion method.

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CLXXII
 

Explanation

Break down the number 172:

100 + 70 + 2

100 = C

70 = LXX

2 = II

Combine them to get CLXXII.
 

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FAQs on 172 in Roman Numerals

1.What is 9 in Roman numerals?

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2.How to write 172 in Roman numerals?

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3.What is 175 in Roman Numerals?

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4.Is CLXXII a prime number?

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5.What are the multiples of 172?

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Professor Greenline from BrightChamps

Important Glossaries for 172 in Roman Numerals

  • Addition Rule: The addition method is used when a larger number is followed by a smaller numeral, where the values are added. For example, CLXXII = C + L + XX + II = 100 + 50 + 20 + 2 = 172.

 

  • Grouping Method: Here, the given numbers are grouped based on their place value and then converted into Roman numerals. For example, 172 = 100 + 50 + 20 + 2 = CLXXII.

 

  • Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeral system can be repeated only up to three times. For example, XX = 20 (X is repeated twice to represent the number 20).

 

  • Subtraction Method: This method is used when a smaller numeral precedes a larger one, indicating subtraction. For example, IV = 4.

 

  • Limitation Rule: In Roman numerals, symbols like V, L, and D cannot be repeated.
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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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