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Last updated on May 26th, 2025

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174 in Roman Numerals

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Roman numerals are a way of expressing numbers using symbols like I, V, X, L, C, D, and M. These symbols are used in various contexts, such as royal titles, book names, and sequences. In this discussion, we will explore Roman numerals, their rules, and examples.

174 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 174 in Roman Numerals?

Royal titles, such as Henry I, Henry II, and others, often include Roman numerals. These symbols (I and II) represent numbers. Ancient people counted using fingers, sticks, bones, etc.

 

As life became more complex, a standardized counting system was needed. The 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 this system.

 

In Roman Numerals, we use CLXXIV to represent 174. Here, C is 100, L is 50, XX is 20, and IV is 4. Let’s learn more about Roman numerals and how we write them.

 

174 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 174 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, CLXXIV → C + L + X + X + IV → 100 + 50 + 10 + 10 + 4 = 174.

 

Rule 2: Repetition Method

 

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

 

Rule 3: Subtraction Method

 

If a smaller number precedes a larger number in Roman numerals, we subtract the smaller number from the larger number. For example, IV → V - I → 5 - 1 = 4.

 

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 VV for 10; instead, we use X. Similarly, 8 is written as VIII, not IIIIIIII.

Professor Greenline from BrightChamps

How to Write 174 in Roman Numerals

Let’s now learn how to write 174 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

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

174 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 174 in Roman numerals using the expansion method.

 

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

For 174, we write it as 100 + 50 + 20 + 4.


Step 2: Convert each number into Roman numerals.

   100 in Roman Numeral — C
   50 in Roman Numeral — L
   20 in Roman Numeral — XX
   4 in Roman Numeral — IV

Step 3: Combine the Roman numerals together.

Therefore, 174 in Roman numerals is C (100) + L (50) + XX (20) + IV (4) = CLXXIV.

Professor Greenline from BrightChamps

174 in Roman Numerals by Grouping Method

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

To write 174 in Roman numerals, we group 174 as 100 + 50 + 20 + 4.

   100 in Roman Numeral — C
   50 in Roman Numeral — L
   20 in Roman Numeral — XX
   4 in Roman Numeral — IV

So, 174 is written as CLXXIV in Roman numerals.

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Common Mistakes and How to Avoid Them in 174 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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174 in Roman Numerals Examples

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Problem 1

Find the sum of LXXXVII and LXXXVII.

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The sum of LXXXVII and LXXXVII is CLXXIV.

Explanation

In Roman numerals, LXXXVII is 87. Adding them together gives 87 + 87 = 174. 174 in Roman Numerals can be written as CLXXIV.

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Problem 2

A library has CDXX books and decides to distribute them equally among XXIV shelves. How many books will each shelf hold?

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Each shelf will hold XVII books.

Explanation

To find the number of books per shelf, divide the total number of books by the number of shelves.  

CDXX = 420  

XXIV = 24  

Thus, 420 / 24 = 17.  

17 in Roman numerals is XVII.

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Problem 3

What is the product of XIV and XII?

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The product of XIV and XII is CLXVIII.

Explanation

In Roman numerals, XIV is 14 and XII is 12. The product of 14 and 12 is 168. 168 in Roman Numerals can be written as CLXVIII.

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Max, the Girl Character from BrightChamps

Problem 4

Find the difference between CC and XXVI.

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The difference between CC and XXVI is CLXXIV.

Explanation

The difference of two numbers is obtained by subtracting one from the other.  

CC = 200  

XXVI = 26  

200 - 26 = 174  

174 in Roman Numerals is CLXXIV.

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Problem 5

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

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The Roman numeral for 87 + 87 is CLXXIV.

Explanation

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

 

Step 2: Add the numbers: 87 + 87 = 174.  

 

Step 3: Use the expansion method for 174:  

174 = 100 + 70 + 4 = CLXXIV.

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FAQs on 174 in Roman Numerals

1.What is 99 in Roman numerals?

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2.How to write 174 in Roman numerals?

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3.What is 180 in Roman Numerals?

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4.Is CLXXIV a prime number?

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5.What are the multiples of 174?

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Professor Greenline from BrightChamps

Important Glossaries for 174 in Roman Numerals

  • Addition Rule: The addition method is used when a larger numeral is followed by a smaller numeral, here the values are added. For example, CLXXIV = C + L + XX + IV = 100 + 50 + 20 + 4 = 174.

 

  • Grouping Method: Numbers are grouped based on their place value and then converted into Roman numerals. For example, 174 = 100 + 50 + 20 + 4 = CLXXIV.

 

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

 

  • Subtraction Rule: If a smaller numeral precedes a larger numeral, the smaller numeral is subtracted from the larger numeral. For example, IV = V - I = 5 - 1 = 4.

 

  • Place Value: In the expansion method, numbers are broken down based on their place value for conversion into Roman numerals. For example, 174 = 100 (hundreds) + 50 (tens) + 20 (tens) + 4 (ones).
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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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