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Last updated on May 26th, 2025

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680 in Roman Numerals

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Roman numerals are the 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.

680 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 680 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 DCLXXX to represent 680, where D is 500, C is 100, L is 50, X is 10, and the combination represents the total sum. Let’s learn more about Roman numerals and how we write them.680 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 680 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, then it is the addition method. For example, DCLXXX → D + C + L + X + X + X → 500 + 100 + 50 + 10 + 10 + 10 = 680

 

Rule 2: Repetition Method

 

To write a large number, there are certain Roman Numerals that can be repeated three times. For example, XXX → 30 (X repeated three times).

 

Rule 3: Subtraction Method

 

If a small number is followed by a large number in Roman Numerals we subtract the smaller number from the large number, it is a 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 DD for 1000 instead we use M, and 8 we write as VIII not IIIIIIII.

Professor Greenline from BrightChamps

How to Write 680 in Roman Numerals

Let’s now learn how to write 680 in Roman Numerals. Follow these methods to write the number in Roman Numerals.

 

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

680 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 680 in Roman numerals using the expansion method. To write 680 in Roman Numerals, follow the steps,

 

Step 1: The number is broken based on the place value. Place value that is ones, tens, hundreds, etc. For 680 we write it as 600 + 80

 

Step 2: Converting the number into Roman Numerals

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

 

Step 3: Combining them Roman Numerals together. Therefore, 680 in Roman Numerals is DC (600) + LXXX (80) = DCLXXX

Professor Greenline from BrightChamps

680 in Roman Numeral by Grouping Method

When writing a large number into Roman Numerals, we group the number. To write 680 in Roman Numerals, we group 680 as 600 + 80

 

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

 

So, 680 is written as DCLXXX in Roman Numerals.

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Common Mistakes and How to Avoid Them in 680 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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680 in Roman Numerals Examples

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Problem 1

Calculate the sum of CDL and CCXXX.

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The sum of CDL and CCXXX is DCLXXX.

Explanation

The sum is the result of adding two numbers.

CDL is 450

CCXXX is 230.

Adding them together gives

450 + 230 = 680.

Therefore, 680 in Roman Numerals is DCLXXX.

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Max, the Girl Character from BrightChamps

Problem 2

A historian writes about a battle involving DCCLXV soldiers. After the battle, LXXXV soldiers remained. How many soldiers were lost?

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The number of soldiers lost is DCLXXX.

Explanation

To find the number of soldiers lost, subtract the number of remaining soldiers from the initial number.

DCCLXV = 765

LXXXV = 85.

Therefore, 765 - 85 = 680.

680 in Roman Numerals is DCLXXX.

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Max, the Girl Character from BrightChamps

Problem 3

A museum received a donation of CCLXXV ancient coins and later acquired CDV more. What is the total number of coins now?

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The total number of coins is DCLXXX.

Explanation

Adding the two quantities gives the total number of coins.

CCLXXV is 275

CDV is 405.

Therefore, 275 + 405 = 680.

In Roman Numerals, 680 is DCLXXX.

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Max, the Girl Character from BrightChamps

Problem 4

If a library has DCCL books and lends LXX books, how many books are left in the library?

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The number of books left is DCLXXX.

Explanation

To find the remaining number of books, subtract the number lent from the total.

DCCL is 750

LXX is 70.

Therefore, 750 - 70 = 680.

In Roman Numerals, 680 is DCLXXX.

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Problem 5

Express the Roman numeral for the total of 490 + 190 using the expansion method.

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The Roman numeral for the total of 490 + 190 is DCLXXX.

Explanation

First, convert the numbers 490 and 190 into Roman numerals:

490 - CDXC

190 - CXC

Adding these gives 490 + 190 = 680.

Using the expansion method, 680 = 600 + 80 = DCLXXX.

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FAQs on 680 in Roman Numerals

1.What is 670 in Roman numerals?

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2.How to write 680 in Roman numerals?

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3.What is 1000 in Roman Numerals?

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4.Is DCLXXX an even number?

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5.What are the multiples of 680?

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Professor Greenline from BrightChamps

Important Glossaries for 680 in Roman Numerals

  • Addition rule: Addition method is used when a large number is followed by a smaller numeral, here the values are added. For example, DCLXXX = D + C + L + X + X + X = 680.
     
  • 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, 680 = 600 + 80 = DCLXXX.
     
  • 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: Used when a smaller numeral precedes a larger numeral, indicating subtraction. For example, IX = X - I = 9.
     
  • Limitation rule: Symbols like V, L, and D cannot be repeated in succession. For example, 10 is X, not VV.
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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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