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Last updated on May 26th, 2025

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802 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 more. Here we will be discussing Roman numerals, rules, and examples.

802 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 802 in Roman Numerals?

Royal titles, such as Henry I, Henry II, and so on, often use Roman numerals. Have you noticed these symbols (I and II) and wondered what they represented? Those are Roman numerals. Early people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was required for counting. Ancient Romans used the Roman numeral system for this purpose. 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 DCCCII to represent 802, where D is 500, CCC is 300, and II is 2. Let’s learn more about Roman numerals and how we write them.

802 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 802 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, DCCCII → D + CCC + II → 500 + 300 + 2 = 802.

 

Rule 2: Repetition Method

To write a large number, certain Roman numerals can be repeated up to three times. For example, CCC → 300 (C is repeated three times).

 

Rule 3: Subtraction Method

If a small number is placed before a larger number, we subtract the smaller from the larger. 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 use X instead of VV for 10 and VIII instead of IIIIIIII for 8.

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How to Write 802 in Roman Numerals

Let’s now learn how to write 802 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

  • By Expansion Method
  • By Grouping Method
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802 in Roman Numerals by Expansion Method

In the expansion method, the number is broken down based on place value. In this section, we will learn how to write 802 in Roman numerals using the expansion method.

 

To write 802 in Roman numerals, follow the steps:

 

Step 1: Break the number based on place value: hundreds, tens, and ones. For 802, we write it as 800 + 2.

 

Step 2: Convert the number into Roman numerals.

  • 800 in Roman numerals - DCCC
     
  • 2 in Roman numerals - II

 

Step 3: Combine the Roman numerals together. Therefore, 802 in Roman numerals is DCCC (800) + II (2) = DCCCII.

Professor Greenline from BrightChamps

802 in Roman Numerals by Grouping Method

When writing a large number in Roman numerals, we group the number. To write 802 in Roman numerals, we group 802 as 800 + 2.

 

  • 800 in Roman numerals - DCCC
     
  • 2 in Roman numerals - II

 

So, 802 is written as DCCCII in Roman numerals.

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Common Mistakes and How to Avoid Them in 802 Roman Numerals

Students often make mistakes when writing a number 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 of the Roman numerals such as V, L, and D cannot be repeated.

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802 in Roman Numerals Examples

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Problem 1

A historian is cataloging artifacts and finds DCCCII ancient coins and divides them equally among II museum exhibitions. How many coins does each exhibition receive?

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Each exhibition receives CDI coins.

Explanation

To find the number of coins each exhibition receives, we divide the total number of coins by the number of exhibitions.

DCCCII = 802

II = 2

Therefore, 802 ÷ 2 = 401

401 in Roman Numerals can be written as CDI.

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Problem 2

An architect is designing a building with DCCCII windows distributed evenly across VIII floors. How many windows are on each floor?

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There are CI windows on each floor.

Explanation

To find the number of windows on each floor, divide the total number of windows by the number of floors.

DCCCII = 802

VIII = 8

802 ÷ 8 = 100.25 (round down to the nearest whole number for full windows)

100 in Roman Numerals can be written as C, thus CI for 101.

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Problem 3

A librarian has a collection of books numbered from I to DCCCII. How many books are there in total?

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There are DCCCII books in total.

Explanation

The collection is numbered from 1 to 802, meaning there are exactly 802 books.

802 in Roman Numerals is DCCCII.

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Problem 4

A marathon event has DCCCII participants. If each participant receives a medal, how many medals are awarded in total?

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A total of DCCCII medals are awarded.

Explanation

Since each of the 802 participants receives a medal, the total number of medals awarded is the same as the number of participants.

Therefore, 802 medals are awarded.

802 in Roman Numerals is DCCCII.

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Problem 5

Write the Roman Numeral for 500 + 302 using the expansion method.

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The Roman numeral for 500 + 302 is DCCCII.

Explanation

Step 1: Convert the numbers 500 and 302 into Roman numerals

500 - D

302 - CCCII

Add the numbers together using the expansion method: 500 + 302 = 802

802 in Roman Numerals is DCCCII.

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FAQs on 802 in Roman Numerals

1.What is 900 in Roman numerals?

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2.How to write 802 in Roman numerals?

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3.What is 850 in Roman Numerals?

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4.What are the factors of 802?

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5.What are the multiples of 802?

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Important Glossaries for 802 in Roman Numerals

  • Addition Rule: This rule is used when a large number is followed by a smaller numeral, and their values are added. For example, DCCCII = D + CCC + II = 500 + 300 + 2 = 802.

 

  • Grouping Method: Here, the given numbers are grouped based on their place value and then converted into Roman numerals. For example, 802 = 800 + 2 = DCCCII.

 

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

 

  • Subtraction Rule: This rule is applied when a smaller numeral precedes a larger one, indicating subtraction, such as IX = X - I = 9.

 

  • Limitation Rule: Some symbols like V, L, and D cannot be repeated in Roman numerals.
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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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