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Last updated on May 26th, 2025

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824 in Roman Numerals

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Roman numerals are a 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.

824 in Roman Numerals for US Students
Professor Greenline from BrightChamps

What is 824 in Roman Numerals?

Royal titles often use Roman numerals, such as Henry I, Henry II, etc. Have you noticed these numerals and wondered what these symbols represent? Those are Roman Numerals. Earlier, people used to count using fingers, sticks, bones, etc. 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 used for counting.

 

In Roman Numerals, we use DCCCXXIV to represent 824, where D is 500, CCC is 300, XX is 20, and IV is 4. Let’s learn more about Roman numerals and how we write them.

824 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 824 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, DCCCXXIV → D + CCC + XX + IV → 500 + 300 + 20 + 4 = 824

 

Rule 2: Repetition Method

To write a large number, certain Roman Numerals can be repeated up to three times. For example, CCC → 300.

 

Rule 3: Subtraction Method

If a small number precedes a large 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 don't write VVV for 15; instead, we use XV.

Professor Greenline from BrightChamps

How to Write 824 in Roman Numerals

Let’s learn how to write 824 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

 

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

824 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 824 in Roman numerals using the expansion method.

 

To write 824 in Roman Numerals, follow the steps:

 

Step 1: Break the number based on place value: ones, tens, hundreds, etc. For 824, we write it as 800 + 20 + 4

 

Step 2: Convert the number into Roman Numerals:

  • 800 in Roman Numerals - DCCC
     
  • 20 in Roman Numerals - XX
     
  • 4 in Roman Numerals - IV

 

Step 3: Combine the Roman Numerals together. Therefore, 824 in Roman Numerals is DCCC (800) + XX (20) + IV (4) = DCCCXXIV

Professor Greenline from BrightChamps

824 in Roman Numerals by Grouping Method

When writing a large number in Roman Numerals, we group the number. To write 824 in Roman Numerals, we group 824 as 800 + 20 + 4

 

  • 800 in Roman Numerals - DCCC
     
  • 20 in Roman Numerals -XX
     
  • 4 in Roman Numerals - IV

 

So, 824 is written as DCCCXXIV in Roman Numerals.

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Common Mistakes and How to Avoid Them in 824 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 such as V, L, and D cannot be repeated at all.

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824 in Roman Numerals Examples

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Problem 1

A historian discovers a manuscript stating the empire lasted for DCCCXXIV years. If the empire was founded in the year LXXVI, in what year did it collapse?

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The empire collapsed in the year CM.

Explanation

The duration of the empire was DCCCXXIV years, which is 824 years.

The foundation year was LXXVI, which is 76 in Roman numerals.

To find the collapse year, add the duration to the foundation year: 76 + 824 = 900.

In Roman numerals, 900 is CM.

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Problem 2

A scholar is researching ancient texts and finds that there are MMDCCCLX pages in total. If the book is split into CCCLXXX sections with an equal number of pages, how many pages does each section have?

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Each section has VIII pages.

Explanation

To find the number of pages per section, divide the total pages by the number of sections:

MMDCCCLX / CCCLXXX.

MMDCCCLX = 2860 and CCCLXXX = 380.

2860 / 380 = 7.526, which rounds to 8 pages per section.

In Roman numerals, this is VIII.

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Problem 3

Calculate the sum of DCCCXXIV and CLXIV.

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The sum of DCCCXXIV and CLXIV is CMXCVIII.

Explanation

First, convert the Roman numerals:

DCCCXXIV = 824 and CLXIV = 164.

824 + 164 = 988, which is CMXCVIII in Roman numerals.

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Max, the Girl Character from BrightChamps

Problem 4

A museum displays artifacts dated back to DCCCXXIV years ago. If it is currently the year MMXXIII, in what year were these artifacts made?

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The artifacts were made in the year MCCXCIX.

Explanation

To find the year the artifacts were made, subtract the age of the artifacts from the current year: MMXXIII - DCCCXXIV.

MMXXIII = 2023, and DCCCXXIV = 824.

2023 - 824 = 1199, which is MCCXCIX in Roman numerals.

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Max, the Girl Character from BrightChamps

Problem 5

Express the sum of 824 and 76 using Roman numerals by breaking it down into parts.

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The sum of 824 and 76 in Roman numerals is CM.

Explanation

First convert each number to Roman numerals:

824 = DCCCXXIV and 76 = LXXVI.

The sum is 824 + 76 = 900.

Using the expansion method: 900 = 900 = CM.

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FAQs on 824 in Roman Numerals

1.What is 400 in Roman numerals?

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2.How to write 824 in Roman numerals?

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3.What is 850 in Roman Numerals?

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4.Is DCCCXXIV a prime number?

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5.What are the multiples of 824?

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6.How can children in United States use numbers in everyday life to understand 824 in Roman Numerals?

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7.What are some fun ways kids in United States can practice 824 in Roman Numerals with numbers?

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8.What role do numbers and 824 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 824 in Roman Numerals skills?

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Professor Greenline from BrightChamps

Important Glossaries for 824 in Roman Numerals

  • Addition rule: The addition method is used when a large number is followed by a smaller numeral, where the values are added. For example, DCCCXXIV = DCCC + XX + IV = 800 + 20 + 4 = 824.

 

  • Grouping method: Here, the given numbers are grouped based on their place value and then converted into their Roman numerals. For example, 824 = 800 + 20 + 4 = DCCCXXIV.

 

  • Repetition rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated up to three times. For example, CCC = 300 (C is repeated three times to represent 300).

 

  • Subtraction rule: The subtraction method is used when a smaller numeral precedes a larger one, resulting in the difference. For example, IX = X - I = 10 - 1 = 9.

 

  • Place value: Breaking down numbers according to their place values (hundreds, tens, ones) to convert them into Roman Numerals. For example, 824 is broken down into 800, 20, and 4.
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 824 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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