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Last updated on May 26th, 2025

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874 in Roman Numerals

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Roman numerals are a system of expressing numbers using specific symbols. I, V, X, L, C, D, and M are the symbols we use. Roman Numerals are used in various contexts such as royal titles, book names, and sequences. Here we will discuss Roman Numerals, rules, and examples.

874 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 874 in Roman Numerals?

In royal titles like Henry VIII or Louis XIV, Roman Numerals are used to denote the order. Have you ever wondered what these symbols represent? They are Roman Numerals, a system used by ancient Romans for counting.

 

The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) form this numeric system. In Roman Numerals, 874 is represented as DCCCLXXIV, where D is 500, CCC is 300, LXX is 70, and IV is 4. Let’s learn more about Roman numerals and how we write them.874 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 874 in Roman Numerals

There are fundamental rules for writing numbers in Roman Numerals. In this section, we will discuss some basic rules to remember when writing numbers in Roman numerals.

 

Rule 1: Addition Method

 

The addition method applies when smaller numbers are placed after larger numbers. For example, DCCCLXXIV → D + CCC + L + XX + IV → 500 + 300 + 50 + 20 + 4 = 874

 

Rule 2: Repetition Method

 

Certain Roman Numerals can be repeated up to three times to form larger numbers. For instance, CCC → 300.

 

Rule 3: Subtraction Method

 

If a smaller numeral precedes a larger numeral, subtract the smaller from the larger. For example, IV → V - I → 5 - 1 = 4

 

Rule 4: Limitation Rule

 

Symbols cannot be repeated more than three times. Symbols like V, L, and D cannot be repeated. For instance, we write 10 as X, not VV.

Professor Greenline from BrightChamps

How to Write 874 in Roman Numerals

Let’s learn how to write 874 in Roman Numerals. Follow these methods to express the number in Roman Numerals.

 

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

874 in Roman Numerals by Expansion Method

In the expansion method, the number is broken down based on place value. Here, we will learn how to write 874 in Roman numerals using this method. To write 874 in Roman Numerals, follow these steps:

 

Step 1: Break down the number based on place value: hundreds, tens, and ones. For 874, we write it as 800 + 70 + 4

 

Step 2: Convert each part into Roman Numerals

 

  • 800 in Roman Numerals - DCCC
     
  • 70 in Roman Numerals - LXX
     
  • 4 in Roman Numerals - IV

 

Step 3: Combine the Roman Numerals. Therefore, 874 in Roman Numerals is DCCC (800) + LXX (70) + IV (4) = DCCCLXXIV

Professor Greenline from BrightChamps

874 in Roman Numeral by Grouping Method

When writing a large number into Roman Numerals, we group the numbers. To write 874 in Roman Numerals, we group 874 as 800 + 70 + 4

 

  • 800 in Roman Numerals - DCCC
     
  • 70 in Roman Numerals - LXX
     
  • 4 in Roman Numerals - IV

 

So, 874 is written as DCCCLXXIV in Roman Numerals.

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Common Mistakes and How to Avoid Them in 874 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 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 numerals like V, L, and D cannot be repeated.

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874 in Roman Numerals Examples

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Problem 1

A sculptor is creating a series of sculptures, each requiring DCCCLXXIV kilograms of marble. How much marble is needed for II such sculptures?

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The total amount of marble needed is MDCCXLVIII kilograms.

Explanation

To find the total amount of marble required, we multiply the number of sculptures by the amount of marble each requires.

DCCCLXXIV = 874

II = 2

Therefore, DCCCLXXIV × II = 874 × 2 = 1748.

1748 in Roman Numerals can be written as MDCCXLVIII.

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Problem 2

An ancient scroll contains DCCCLXXIV pages. A historian wants to divide the scroll into XXII sections. How many pages will each section have?

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Each section will have XL pages.

Explanation

To find the number of pages each section will have, divide the total number of pages by the number of sections.

DCCCLXXIV = 874

XXII = 22

Therefore, DCCCLXXIV / XXII = 874 / 22 = 40.

40 in Roman numerals is XL.

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Problem 3

Calculate the sum of DCCCLXXIV and CLXII in Roman numerals.

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The sum of DCCCLXXIV and CLXII is MXXXVI.

Explanation

Sum is the result of adding two numbers.

DCCCLXXIV = 874

CLXII = 162

874 + 162 = 1036

1036 in Roman Numerals is MXXXVI.

The sum of DCCCLXXIV and CLXII is MXXXVI.

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Problem 4

A historian subtracts CCCXLV from DCCCLXXIV. What is the result in Roman numerals?

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The result of the subtraction is DXXIX.

Explanation

The difference is the result of subtracting one number from another.

DCCCLXXIV = 874

CCCXLV = 345

874 - 345 = 529

529 in Roman Numerals can be written as DXXIX.

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Problem 5

Express the total of DCCCLXXIV and CXXVI using the expansion method in Roman numerals.

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The total of DCCCLXXIV and CXXVI using the expansion method is M.

Explanation

Step 1: Convert the numbers 874 and 126 into Roman numerals

874 - DCCCLXXIV

126 - CXXVI

Add the numbers together:

874 + 126 = 1000

Using the expansion method: 1000 = M.

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FAQs on 874 in Roman Numerals

1.What is 4 in Roman Numerals?

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2.How to write 874 in Roman Numerals?

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3.What is 900 in Roman Numerals?

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4.Is DCCCLXXIV a prime number?

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5.What are the multiples of 874?

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Professor Greenline from BrightChamps

Important Glossaries for 874 in Roman Numerals

  • Addition Method: Used when a large numeral is followed by a smaller one, implying addition. Example: DCCCLXXIV = 500 + 300 + 70 + 4 = 874
     
  • Grouping Method: Group numbers based on place value and convert to Roman Numerals. Example: 874 = 800 + 70 + 4 = DCCCLXXIV
     
  • Subtraction Method: Used when a smaller numeral precedes a larger one, indicating subtraction. Example: IV = 5 - 1 = 4
     
  • Repetition Rule: Certain symbols (I, X, C, M) can be repeated up to three times. Example: CCC = 300
     
  • Limitation Rule: Symbols like V, L, and D cannot be repeated. Example: 10 is X, not VV.
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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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