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Last updated on May 26th, 2025

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390 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.

390 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 390 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. 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 CCCXC to represent 390. Here, CCC is 300 and XC is 90. Let’s learn more about Roman numerals and how we write them.

390 in roman numerals
 

Professor Greenline from BrightChamps

Basic Rules for 390 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, VI → V + I → 5 + 1 = 6

 

Rule 2: Repetition Method

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

 

Rule 3: Subtraction Method

If a small number precedes a large number in Roman numerals, we subtract the smaller number from the larger number using the subtraction method. 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 won’t write VV for 10; instead, we use X, and 8 is written as VIII, not IIIIIIII.

Professor Greenline from BrightChamps

How to Write 390 in Roman Numerals

Let’s now learn how to write 390 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

  • By Expansion Method

 

  • By Grouping Method
Professor Greenline from BrightChamps

390 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 390 in Roman numerals using the expansion method.

 

To write 390 in Roman numerals, follow the steps:

 

Step 1: Break down the number based on place value. The place values are ones, tens, hundreds, etc.

 

For 390, we write it as 300 + 90


Step 2: Convert the numbers into Roman numerals


300 in Roman numerals — CCC


90 in Roman numerals — XC


Step 3: Combine the Roman numerals together.


Therefore, 390 in Roman numerals is CCC (300) + XC (90) = CCCXC

Professor Greenline from BrightChamps

390 in Roman Numerals by Grouping Method

When writing a large number in Roman numerals, we group the number.

 

To write 390 in Roman numerals, we group 390 as 300 + 90

 

300 in Roman numerals — CCC


90 in Roman numerals — XC


So, 390 is written as CCCXC in Roman numerals.

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Common Mistakes and How to Avoid Them in 390 Roman Numerals

Students 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 the 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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390 in Roman Numerals Examples

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Problem 1

A historian is cataloging ancient artifacts and notes that there are two collections, one containing CLXXXV items and another containing CCV items. What is the total number of items, and how would you express this in Roman numerals?

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The total number of items is CCCXC.
 

Explanation

The sum is the result of adding two numbers.  


CLXXXV = 185  


CCV = 205  


185 + 205 = 390  


390 in Roman numerals is written as CCCXC.

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Problem 2

A library organizes its books in such a way that each shelf holds XXX books. If there are XIII shelves, how many books are there in total, and what is this number in Roman numerals?

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The total number of books is CCCXC.

Explanation

The total number is found by multiplying the number of books per shelf by the number of shelves.  


XXX = 30  


XIII = 13  


30 × 13 = 390  


390 in Roman numerals is written as CCCXC.

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Problem 3

An artist is painting a mural that requires CCCXC square feet of wall space. If the wall is divided into two sections, one measuring CC square feet and the other measuring the remainder, what is the size of the second section in Roman numerals?

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The size of the second section is CXC.
 

Explanation

The remainder is found by subtracting the size of the first section from the total wall space.  


CCCXC = 390  


CC = 200  


390 - 200 = 190  


190 in Roman numerals is written as CXC.

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Problem 4

A school distributed CCCXC pencils evenly among XXX students. How many pencils did each student receive, and express this in Roman numerals?

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Each student received XIII pencils.
 

Explanation

To find the number of pencils per student, divide the total number of pencils by the number of students.  


CCCXC = 390

 
XXX = 30  


390 ÷ 30 = 13  


13 in Roman numerals is written as XIII.

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Problem 5

Write the Roman numeral for 250 + 140 using the subtraction method.

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The Roman numeral for 250 + 140 is CCCXC.
 

Explanation

Step 1: Convert each number to Roman numerals.  


250 = CCL

 
140 = CXL  

 

Step 2: Add the numbers together: 250 + 140 = 390  

 

Step 3: Using the subtraction method:  
390 = 400 - 10 = CD - X = CCCXC

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FAQs on 390 in Roman Numerals

1.What is 90 in Roman numerals?

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2.How to write 390 in Roman numerals?

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3.What is 400 in Roman Numerals?

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4.Is CCCXC a prime number?

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5.What are the multiples of 390?

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Important Glossary for 390 in Roman Numerals

  • Addition rule: The addition method is used when a large number is followed by a smaller numeral, and the values are added. For example, VI = V + I = 5 + 1 = 6

 

  • Grouping method: Here, the given numbers are grouped based on their place value, and then we convert each group into its Roman numerals. For example, 390 = 300 + 90 = CCCXC

 

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

 

  • Subtraction rule: The subtraction method is used when a smaller numeral precedes a larger numeral, and the smaller value is subtracted from the larger one. For example, XC = C - X = 100 - 10 = 90

 

  • Limitation rule: Certain symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated consecutively.
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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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