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Last updated on May 26th, 2025

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902 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.

902 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 902 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 CMII to represent 902, where CM is 900 (1000 - 100) and II is 2 (1 + 1). Let’s learn more about Roman numerals and how we write them.902 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 902 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, II → I + I → 1 + 1 = 2.

 

Rule 2: Repetition Method

 

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

 

Rule 3: Subtraction Method

 

If a smaller number is followed by a larger number in Roman Numerals, we subtract the smaller number from the larger number. For example, CM → M - C → 1000 - 100 = 900.

 

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 DDD for 1500; instead, we use MD.

Professor Greenline from BrightChamps

How to Write 902 in Roman Numerals

Let’s now learn how to write 902 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

 

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

902 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 902 in Roman numerals using the expansion method. To write 902 in Roman Numerals, follow the steps:

 

Step 1: The number is broken based on the place value. Place values are ones, tens, hundreds, etc. For 902, we write it as 900 + 2.

 

Step 2: Converting the number into Roman Numerals

  • 900 in Roman Numerals - CM
     
  • 2 in Roman Numerals - II

 

Step 3: Combining the Roman Numerals together. Therefore, 902 in Roman Numerals is CM (900) + II (2) = CMII

Professor Greenline from BrightChamps

902 in Roman Numerals by Grouping Method

When writing a large number into Roman Numerals, we group the number. To write 902 in Roman Numerals, we group 902 as 900 + 2.

 

  • 900 in Roman Numerals - CM
     
  • 2 in Roman Numerals - II
     

So, 902 is written as CMII in Roman Numerals.

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Common Mistakes and How to Avoid Them in 902 Roman Numerals

Students make mistakes when writing a number in Roman Numerals. To master Roman Numerals, we can learn a few common mistakes and the 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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902 in Roman Numerals Examples

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Problem 1

A historian discovers a chest containing CMII ancient coins and wants to distribute them equally among XLVI museums. How many coins does each museum receive?

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Each museum receives XIX coins.

Explanation

To find the number of coins each museum receives, divide the total number of coins by the number of museums.

CMII = 902

XLVI = 46

902 / 46 = 19

19 in Roman numerals is XIX.

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Problem 2

An architect is designing a building with a height of CDLI feet and plans to add an extension of CL feet. What will be the total height of the building in Roman numerals?

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The total height of the building will be DC feet.

Explanation

To find the total height, add the height of the original building to the extension.

CDLI = 451

CL = 150

451 + 150 = 601

601 in Roman numerals is DC.

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Problem 3

A collector has CMII rare stamps and decides to sell CCCLIX of them. How many stamps does the collector have left?

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The collector has DXLIII stamps left.

Explanation

Subtract the number of stamps sold from the total number of stamps to find how many are left.

CMII = 902

CCCLIX = 359

902 - 359 = 543

543 in Roman numerals is DXLIII.

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Problem 4

A marathon runner completed a total distance of CMII kilometers in the past month. If they ran the same distance every day, how many kilometers did they run per day given there are XXX days in a month?

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The runner ran XXX kilometers per day.

Explanation

To find the daily distance, divide the total distance by the number of days.

CMII = 902

XXX = 30

902 / 30 = 30

30 in Roman numerals is XXX.

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Problem 5

Write the Roman Numeral for 902 - 457 using the expansion method.

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The Roman numeral for 902 - 457 is CDXLV.

Explanation

Step 1: Convert the numbers 902 and 457 into Roman numerals.

902 = CMII

457 = CDLVI

Subtract the numbers:

902 - 457 = 445

Using the expansion method:

445 = 400 + 40 + 5 = CDXLV.

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FAQs on 902 in Roman Numerals

1.What is 900 in Roman numerals?

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2.How to write 902 in Roman numerals?

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3.What is 905 in Roman Numerals?

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4.Is CMII a prime number?

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5.What are the multiples of 902?

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Professor Greenline from BrightChamps

Important Glossaries for 902 in Roman Numerals

  • Addition Rule: The addition method is used when a large number is followed by a smaller numeral, and their values are added. For example, II = I + I = 1 + 1 = 2.
     
  • Subtraction Rule: The subtraction method is used when a smaller numeral precedes a larger one, and their values are subtracted. For example, CM = M - C = 1000 - 100 = 900.
     
  • Expansion Method: This method involves breaking down a number based on place value and converting each part to Roman Numerals, then combining them. For example, 902 = 900 + 2 = CMII.
     
  • Grouping Method: In this method, numbers are grouped based on place value, and each group is converted into Roman numerals. For example, 902 = 900 + 2 = CMII.
     
  • Limitation Rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times, and symbols like V, L, and D cannot be repeated. For example, III = 3 (I is repeated three times to represent the number 3).
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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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