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Last updated on May 26th, 2025

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684 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.

684 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 684 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on, use Roman Numerals. Earlier people used to count using fingers, sticks, bones, etc.

 

When life became complex, a standard form was required for counting. 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 write 684 as DCLXXXIV. Let's learn more about Roman numerals and how we write them.684 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 684 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, some Roman Numerals can be repeated. For example, III → 3.

 

Rule 3: Subtraction Method

 

If a small number precedes a large number in Roman Numerals, we subtract the smaller number from the large number. 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 684 in Roman Numerals

Let’s now learn how to write 684 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

 

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

684 in Roman Numeral 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 684 in Roman numerals using the expansion method. To write 684 in Roman Numerals, follow the steps:

 

Step 1: Break the number based on place value. Place values are ones, tens, hundreds, etc. For 684, we write it as 600 + 80 + 4.

 

Step 2: Convert the number into Roman Numerals:

  • 600 in Roman Numeral - DC
     
  • 80 in Roman Numeral - LXXX
     
  • 4 in Roman Numeral - IV

 

Step 3: Combine the Roman Numerals together. Therefore, 684 in Roman Numerals is DC (600) + LXXX (80) + IV (4) = DCLXXXIV.

Professor Greenline from BrightChamps

684 in Roman Numeral by Grouping Method

When writing a large number into Roman Numerals, we group the number. To write 684 in Roman Numerals, we group 684 as 600 + 80 + 4.

 

  • 600 in Roman Numerals - DC
     
  • 80 in Roman Numerals - LXXX
     
  • 4 in Roman Numerals - IV

 

So, 684 is written as DCLXXXIV in Roman Numerals.

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Common Mistakes and How to Avoid Them in 684 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 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 Roman Numerals, such as V, L, and D, cannot be repeated.

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684 in Roman Numerals Examples

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Problem 1

Calculate the sum of CDXXV and CCLIX in Roman numerals.

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The sum of CDXXV and CCLIX is DCLXXXIV.

Explanation

First, convert the Roman numerals to numbers:

CDXXV = 425

CCLIX = 259.

The sum of 425 and 259 is 684.

In Roman numerals, 684 is written as DCLXXXIV.

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Problem 2

A historian found DCLXXXIV ancient coins and wants to distribute them equally among VIII museums. How many coins will each museum receive?

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Each museum will receive LXXXV coins.

Explanation

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

DCLXXXIV / VIII.

Convert the Roman numerals to numbers:

DCLXXXIV = 684

VIII = 8.

Then, 684 / 8 = 85.

In Roman numerals, 85 is LXXXV.

Therefore, each museum receives LXXXV coins.

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Max, the Girl Character from BrightChamps

Problem 3

Find the product of LXVIII and X in Roman numerals.

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The product of LXVIII and X is DCLXXX.

Explanation

Convert the Roman numerals to numbers: LXVIII = 68 and X = 10.

Multiply the numbers:

68 × 10 = 680.

In Roman numerals, 680 is written as DCLXXX.

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Max, the Girl Character from BrightChamps

Problem 4

What is the difference between DCC and XVI in Roman numerals?

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The difference between DCC and XVI is DCLXXXIV.

Explanation

Convert the Roman numerals to numbers:

DCC = 700

XVI = 16.

Subtract the numbers:

700 - 16 = 684.

In Roman numerals, 684 is written as DCLXXXIV.

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Problem 5

Write the Roman numeral for 500 + 184 using the expansion method.

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The Roman numeral for 500 + 184 is DCLXXXIV.

Explanation

First, convert the numbers 500 and 184 into Roman numerals:

500 = D

184 = CLXXXIV.

Add the numbers together:

500 + 184 = 684.

Using the expansion method:

684 = 600 + 80 + 4 = DCLXXXIV.

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FAQs on 684 in Roman Numerals

1.What is 9 in Roman numerals?

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2.How to write 684 in Roman numerals?

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3.What is 680 in Roman Numerals?

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4.Is DCLXXXIV a prime number?

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5.What are the multiples of 684?

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Professor Greenline from BrightChamps

Important Glossaries for 684 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, DC = D + C = 500 + 100 = 600.
     
  • Subtraction rule: When a smaller numeral precedes a larger numeral, we subtract the smaller from the larger. For example, IV = V - I = 5 - 1 = 4.
     
  • Expansion method: This method involves breaking down a number based on place value and converting each part into Roman numerals. For example, 684 = 600 + 80 + 4 = DCLXXXIV.
     
  • Grouping method: Here, the given number is grouped based on its place value and then converted into its Roman numerals. For example, 684 = 600 + 80 + 4 = DCLXXXIV.
     
  • Repetition rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, III = 3 (I is repeated three times to represent 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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