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Last updated on February 25th, 2025

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638 in Roman Numerals

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Foundation
Intermediate
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Roman numerals are a system of expressing numbers using symbols. I, V, X, L, C, D, and M are the symbols used. Roman Numerals are often found in royal titles, book names, sequences, and more. Here we will be discussing Roman Numerals, rules, and examples.

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What is 638 in Roman Numerals?

Royal titles like Henry I, Henry II, etc., often use Roman Numerals. Have you ever wondered what these symbols represent? These are Roman Numerals. Ancient people used fingers, sticks, bones, etc., to count.

 

As life became more complex, a standardized form was necessary. Ancient Romans developed the Roman Numeral system with symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).

 

In Roman Numerals, we use DCXXXVIII to represent 638, where D is 500, C is 100, X is 10, and I is 1. Let’s learn more about Roman numerals and how we write them.

 

638 in roman numerals

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Basic Rules for 638 in Roman Numerals

There are certain basic rules to write a number in Roman Numerals. In this section, we’ll discuss the basic rules for writing numbers in Roman numerals.

 

Rule 1: Addition Method

The addition method is used when a smaller number is placed after a larger number. For example, DCXXXVIII → D + C + XXX + VIII → 500 + 100 + 30 + 8 = 638

 

Rule 2: Repetition Method

To write large numbers, certain Roman Numerals (I, X, C, M) can be repeated up to three times. For example, XXX → 30.

 

Rule 3: Subtraction Method

If a smaller number precedes a larger number, it is subtracted from the larger number. For example, IV → V - I → 5 - 1 = 4

 

Rule 4: Limitation Rule

Symbols cannot be repeated more than three times, and symbols like V, L, and D cannot be repeated. For example, we don't write VV for 10; instead, we use X.

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How to Write 638 in Roman Numerals

Let’s now learn how to write 638 in Roman Numerals. Follow these methods to write the number in Roman Numerals:

 

  • By Expansion Method
  • By Grouping Method
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638 in Roman Numeral by Expansion Method

In the expansion method, numbers are broken down based on place value. In this section, we will learn how to write 638 in Roman numerals using the expansion method. To write 638 in Roman Numerals, follow the steps,

 

Step 1: Break the number based on place value; ones, tens, hundreds, etc. For 638, we write it as 500 + 100 + 30 + 8

 

Step 2: Convert the number into Roman Numerals:

500 in Roman Numeral - D

100 in Roman Numeral - C

30 in Roman Numeral - XXX

8 in Roman Numeral - VIII

 

Step 3: Combine the Roman Numerals together: Therefore, 638 in Roman Numerals is D (500) + C (100) + XXX (30) + VIII (8) = DCXXXVIII

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638 in Roman Numeral by Grouping Method

When writing a large number into Roman Numerals, we group the numbers. To write 638 in Roman Numerals, we group 638 as 500 + 100 + 30 + 8.

 

500 in Roman Numeral - D

100 in Roman Numeral - C

30 in Roman Numeral - XXX

8 in Roman Numeral - VIII

 

So, 638 is written as DCXXXVIII in Roman Numerals.

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Common Mistakes and How to Avoid Them in 638 Roman Numerals

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638 in Roman Numerals Examples

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Problem 1

A historian finds DCCCXLV artifacts and wants to distribute them equally among XV museums. How many artifacts will each museum receive?

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Explanation

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Problem 2

A puzzle requires finding the difference between MCMXC and CCCLXII. What is the difference?

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Explanation

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Problem 3

A scientist is analyzing two samples with weights CDXL and CCXL. Determine the combined weight of the samples.

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Explanation

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Problem 4

Determine the product of XXXVI and XVII in Roman numerals.

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Explanation

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Problem 5

What is the sum of DLX and LXXXVIII using the Roman numeral expansion method?

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Explanation

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FAQs on 638 in Roman Numerals

1.What is 9 in Roman numerals?

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2.How to write 638 in Roman numerals?

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3.What is 640 in Roman Numerals?

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4.Is DCXXXVIII a prime number?

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5.What are the multiples of 638?

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Important Glossaries for 638 in Roman Numerals

  • Addition rule: The addition method is used when a larger number is followed by a smaller numeral; here, the values are added. For example, DCXXXVIII = D + C + XXX + VIII = 500 + 100 + 30 + 8.

 

  • Grouping method: Here, the given numbers are grouped based on their place value, and then each group is converted into Roman numerals. For example, 638 = 500 + 100 + 30 + 8 = DCXXXVIII.

 

  • Repetition rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, XXX = 30 (X is repeated three times to represent the number 30).

 

  • Subtraction rule: This rule is used when a smaller numeral precedes a larger one, indicating subtraction. For example, IV = 5 - 1 = 4.

 

  • Place value: Understanding the place value helps in breaking down numbers into hundreds, tens, and ones, which is crucial for converting them into 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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: She loves to read number jokes and games.

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