174 in Roman Numerals
2026-02-28 13:42 Diff
https://brightchamps.com/en-us/math/numbers/174-in-roman-numerals

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Last updated on August 5, 2025

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.

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.

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.

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
     

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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.

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.

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.

Problem 1

Find the sum of LXXXVII and LXXXVII.

Okay, lets begin

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.

Well explained 👍

Problem 2

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

Okay, lets begin

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.

Well explained 👍

Problem 3

What is the product of XIV and XII?

Okay, lets begin

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.

Well explained 👍

Problem 4

Find the difference between CC and XXVI.

Okay, lets begin

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.

Well explained 👍

Problem 5

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

Okay, lets begin

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.

Well explained 👍

FAQs on 174 in Roman Numerals

1.What is 99 in Roman numerals?

XCIX is 99, using the subtraction method. That is X (10) - C (100) and I (1) - X (10), which is 100 - 10 + 10 - 1 = 99.

2.How to write 174 in Roman numerals?

Here, larger numbers are followed by smaller ones, so we use the addition method. That is C(100) + L(50) + XX(20) + IV(4) = 174. So, CLXXIV is 174.

3.What is 180 in Roman Numerals?

180 in Roman numerals is written as CLXXX.

4.Is CLXXIV a prime number?

5.What are the multiples of 174?

The multiples of 174 are 174, 348, 522, 696, and so on.

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.

Fun Fact

: She loves to read number jokes and games.