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Last updated on May 26th, 2025

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175 in Roman Numerals

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Roman numerals are a method of expressing numbers using specific symbols. The symbols I, V, X, L, C, D, and M are utilized to represent numbers. Roman numerals are prevalent in royal titles, book names, sequences, and more. Here, we will discuss Roman numerals, their rules, and examples.

175 in Roman Numerals for US Students
Professor Greenline from BrightChamps

What is 175 in Roman Numerals?

Royal titles, such as Henry I, Henry II, and so on, use Roman numerals. These symbols help in understanding the numbering system used by ancient Romans, who required a standard form to count as life became more complex. The Roman numeral system includes the symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).

 

In Roman numerals, we use CLXXV to represent 175, where C is 100, L is 50, XX is 20, and V is 5. Let’s learn more about Roman numerals and how we write them.

 

175 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 175 in Roman Numerals

There are basic rules for writing numbers in Roman numerals. Below are some key rules to keep in mind:

 

Rule 1: Addition Method

 

When a smaller number is placed after a larger number, they are added. For example, CLXXV → C + L + X + X + V → 100 + 50 + 10 + 10 + 5 = 175.

 

Rule 2: Repetition Method

 

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

 

Rule 3: Subtraction Method

 

When a smaller number precedes a larger number, it is subtracted. For example, XL → 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, instead of writing LLL for 150, we use CL.

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How to Write 175 in Roman Numerals

Let’s learn how to write 175 in Roman Numerals using different methods.

 

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

175 in Roman Numeral by Expansion Method

In the expansion method, the number is broken down based on place value.

 

Step 1: Break down 175 into 100 + 50 + 20 + 5.

Step 2: Convert each number to Roman numerals:

100 is C

50 is L

20 is XX

5 is V

Step 3: Combine them: C + L + XX + V = CLXXV.

Professor Greenline from BrightChamps

175 in Roman Numeral by Grouping Method

When writing large numbers in Roman numerals, we group them.

 

To write 175 as a Roman numeral, we group it as 100 + 50 + 20 + 5:

100 in Roman Numeral is C
50 in Roman Numeral is L
20 in Roman Numeral is XX
5 in Roman Numeral is V

So, 175 is written as CLXXV in Roman numerals.

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Common Mistakes and How to Avoid Them in 175 Roman Numerals

Students often make mistakes when writing numbers in Roman numerals. Here are some common mistakes and tips 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. Remember, symbols like V, L, and D cannot be repeated.

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175 in Roman Numerals Examples

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Problem 1

A historian is cataloging CLXXV ancient artifacts into V equal groups. How many artifacts will each group contain?

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Each group will contain XXXV artifacts.

Explanation

The historian needs to divide the total number of artifacts by the number of groups. 

CLXXV = 175 

V = 5 

Therefore, CLXXV / V = 175 / 5 = 35. 

35 in Roman numerals can be written as XXXV.

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Max, the Girl Character from BrightChamps

Problem 2

Find the sum of CXXV and L.

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The sum of CXXV and L is CLXXV.

Explanation

To find the sum, add the two numbers together.

CXXV = 125 

L = 50 

125 + 50 = 175 

175 in Roman Numerals is CLXXV. 

The sum of CXXV and L is CLXXV.

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Problem 3

A puzzle requires arranging CLXXV tiles, each representing a unique letter, into XV rows. How many tiles will be in each row?

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Each row will contain XI tiles.

Explanation

Divide the total number of tiles by the number of rows.

CLXXV = 175 

XV = 15 

175 / 15 = 11 

11 in Roman numerals can be written as XI.

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Problem 4

What is the difference between CC and CLXXV?

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The difference between CC and CLXXV is XXV.

Explanation

Subtract the smaller number from the larger number.

CC = 200 

CLXXV = 175 

200 - 175 = 25 

25 in Roman numerals can be written as XXV.

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Problem 5

Write the Roman Numeral for 88 + 87 using the expansion method.

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The Roman numeral for 88 + 87 is CLXXV.

Explanation

Step 1: Convert the numbers 88 and 87 into Roman numerals.

88 = LXXXVIII 
87 = LXXXVII
 

Add the numbers together: 88 + 87 = 175 

Using the expansion method: 175 = 100 + 70 + 5 = CLXXV.

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FAQs on 175 in Roman Numerals

1.What is 170 in Roman numerals?

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2.How to write 175 in Roman numerals?

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3.What is 180 in Roman Numerals?

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4.Is CLXXV a prime number?

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5.What are the multiples of 175?

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6.How can children in United States use numbers in everyday life to understand 175 in Roman Numerals?

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7.What are some fun ways kids in United States can practice 175 in Roman Numerals with numbers?

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8.What role do numbers and 175 in Roman Numerals play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve 175 in Roman Numerals skills?

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Professor Greenline from BrightChamps

Important Glossaries for 175 in Roman Numerals

  • Addition rule: Used when a smaller numeral follows a larger one. For example, CLXXV = C + L + X + X + V = 175.

 

  • Grouping method: Group numbers based on their place value, then convert each group to Roman numerals. For example, 175 = 100 + 50 + 20 + 5 = CLXXV.

 

  • Repetition rule: Certain symbols (I, X, C, M) can be repeated up to three times. For example, XX = 20.

 

  • Subtraction method: Used when a smaller numeral precedes a larger one. For example, XL = 50 - 10 = 40.

 

  • Expansion method: Break down numbers by place value and convert each part to Roman numerals. For example, 175 = 100 + 50 + 20 + 5 = CLXXV.
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we understand numbers are more than symbols—they unlock endless possibilities! Our goal is to guide children across the United States in mastering essential math skills, focusing today on the 175 in Roman Numerals with special attention to Roman numerals—in a fun, engaging, and easy-to-understand way. Whether your child is calculating how quickly a roller coaster zips through Disney World, tracking scores at Little League baseball games, or budgeting their allowance for cool gadgets, having solid number skills builds their confidence for daily tasks. Our interactive lessons make learning enjoyable and straightforward. Since kids across the USA have unique learning styles, we customize our methods to match each child. From the vibrant streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, relatable, and exciting throughout America. Let’s bring Roman numerals to life on every child’s math path!
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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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