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Last updated on February 20th, 2025

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178 in Roman Numerals

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Foundation
Intermediate
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Roman numerals are the 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.

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What is 178 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman Numerals.


Earlier people used to count using fingers, sticks, bones, etc., to count earlier. 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 CLXXVIII to represent 178; here C is 100, L is 50, XX is 20, V is 5, and III is 3. Let’s learn more about Roman numerals and how we write them.

 

178 in roman numerals

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Basic Rules for 178 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, CLXXVIII → C + L + XX + V + III → 100 + 50 + 20 + 5 + 3 = 178.

 

Rule 2: Repetition Method

 

To write a large number, there are certain Roman Numerals that can be repeated up to three times. For example, III → 3.

 

Rule 3: Subtraction Method

 

If a small number precedes a large number in Roman Numerals, we subtract the smaller number from the large 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 VV for 10; instead, we use X, and for 8, we write VIII, not IIIIIIII.

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How to Write 178 in Roman Numerals

Let’s now learn how to write 178 in Roman Numerals. Follow these methods to write the number in Roman Numerals. 

 

 

  • By Expansion Method
  • By Grouping Method
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178 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 178 in Roman numerals using the expansion method.

 

To write 178 in Roman Numerals, follow the steps:

 

Step 1: The number is broken down based on the place value. Place values are ones, tens, hundreds, etc.

For 178, we write it as 100 + 50 + 20 + 5 + 3.


Step 2: Converting the number into Roman Numerals:

  100 in Roman Numeral — C
  50 in Roman Numeral — L
  20 in Roman Numeral — XX
  5 in Roman Numeral — V
  3 in Roman Numeral — III

 

Step 3: Combining them together:


Therefore, 178 in Roman Numerals is C (100) + L (50) + XX (20) + V (5) + III (3) = CLXXVIII.

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178 in Roman Numerals by Grouping Method

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

To write 178 in Roman Numerals, we group 178 as 100 + 50 + 20 + 5 + 3:

100 in Roman Numeral — C
50 in Roman Numeral — L
20 in Roman Numeral — XX
5 in Roman Numeral — V
3 in Roman Numeral — III

 

So, 178 is written as CLXXVIII in Roman Numerals.

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Common Mistakes and How to Avoid Them in 178 Roman Numerals

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178 in Roman Numerals Examples

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Problem 1

A historian is cataloging coins and finds that a collection contains CLXXVIII ancient coins. If she wants to distribute them equally among VI different museums, how many coins will each museum receive?

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Explanation

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Problem 2

An architect is designing a decorative pattern that consists of CLXXVIII tiles. If each row of the pattern requires XXVI tiles, how many complete rows can be created?

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Explanation

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Problem 3

Find the sum of LXXX and XCVIII. Express the result in Roman numerals.

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Explanation

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Problem 4

A collection of ancient manuscripts is valued at CCXL gold coins. After accounting for damage, the value decreases by LXII coins. What is the new value of the manuscripts in Roman numerals?

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Explanation

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Problem 5

Write the Roman numeral for 100 + 78 using the expansion method.

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Explanation

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FAQs on 178 in Roman Numerals

1.What is 90 in Roman numerals?

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2.How to write 178 in Roman numerals?

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3.What is 185 in Roman Numerals?

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4.Is CLXXVIII a prime number?

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5.What are the multiples of 178?

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Important Glossaries for 178 in Roman Numerals

  • Addition rule: Addition method is used when a large number is followed by a smaller numeral; here, the values are added. For example, CLXXVIII = C + L + XX + V + III = 100 + 50 + 20 + 5 + 3 = 178.

 

  • Grouping method: Here, the given number is grouped based on their place value, and then we convert each group into its Roman numerals. For example, 178 = 100 + 50 + 20 + 5 + 3 = CLXXVIII.

 

  • Repetition rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, III = 3 (I is repeated three times to represent the number 3).

 

  • Subtraction method: When a smaller numeral precedes a larger numeral, the smaller numeral is subtracted from the larger one. For example, IX = X - I = 10 - 1 = 9.

 

  • Limitation rule: Some symbols like V, L, and D cannot be repeated, and the same symbol can only be repeated three times. For example, VIII = 8, not IIIIIIII.
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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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