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Last updated on May 26th, 2025

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690 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.

690 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 690 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on, have symbols that represent Roman numerals. Earlier people used to count using fingers, sticks, bones, etc. As 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 DCXC to represent 690, where D is 500, C is 100, X is 10.

 

Let’s learn more about Roman numerals and how we write them.690 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 690 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 a smaller number is placed after a larger number. For example, DCXC → D + C + X + C → 500 + 100 + 10 + 100 = 690

 

Rule 2: Repetition Method

To write a large number, some Roman numerals can be repeated up to three times. For example, CCC → 300.

 

Rule 3: Subtraction Method

If a small number is followed by a larger number in Roman numerals, we subtract the smaller number from the larger number. For example, XC → C - X → 100 - 10 = 90

 

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.

Professor Greenline from BrightChamps

How to Write 690 in Roman Numerals

Let’s now learn how to write 690 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

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

690 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 690 in Roman numerals using the expansion method. To write 690 in Roman numerals, follow the steps:

 

Step 1: The number is broken down based on place value. Place value includes ones, tens, hundreds, etc. For 690, we write it as 500 + 100 + 90

 

Step 2: Converting the number into Roman numerals

  • 500 in Roman numerals - D
     
  • 100 in Roman numerals - C
     
  • 90 in Roman numerals - XC
     

Step 3: Combining the Roman numerals together. Therefore, 690 in Roman numerals is D (500) + C (100) + XC (90) = DCXC

Professor Greenline from BrightChamps

690 in Roman Numerals by Grouping Method

When writing a large number into Roman numerals, we group the number. To write 690 in Roman numerals, we group 690 as 500 + 100 + 90 

  • 500 in Roman numerals - D
     
  • 100 in Roman numerals - C
     
  • 90 in Roman numerals - XC

So, 690 is written as DCXC in Roman numerals.

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Common Mistakes and How to Avoid Them in 690 Roman Numerals

Students often 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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690 in Roman Numerals Examples

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Problem 1

A historian is studying the ancient Roman census records and finds a document listing DCCCLX people in one region and CLXX in another. What is the difference in population between these two regions?

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The difference in population between the two regions is DCXC.

Explanation

To find the difference, subtract the smaller number from the larger one.

DCCCLX = 860

CLXX = 170

860 - 170 = 690

690 in Roman Numerals is DCXC.

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Problem 2

An archaeologist uncovers a map showing an ancient Roman road stretching for DCCC miles, but a section of DCX miles has been lost to erosion. How many miles of the road remain intact?

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The intact miles of the road are CLXXX.

Explanation

To find the remaining miles, subtract the eroded section from the total.

DCCC = 800

DCX = 610

800 - 610 = 190

190 in Roman Numerals is CLXXX.

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Problem 3

A collector has a total of MCMLXXX coins, out of which he wants to donate DCXC to a museum. How many coins will he have left after the donation?

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The number of coins left after the donation is MCCXC.

Explanation

Subtract the number of donated coins from the total.

MCMLXXX = 1980

DCXC = 690

1980 - 690 = 1290

1290 in Roman Numerals is MCCXC.

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Problem 4

A Roman architect designed a building that initially required DCCCXL bricks, but they revised the plan to need DCXC bricks less. How many bricks are now needed for the building?

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The total number of bricks now needed is CL.

Explanation

Subtract the revised amount from the original number of bricks.

DCCCXL = 840

DCXC = 690

840 - 690 = 150

150 in Roman Numerals is CL.

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Problem 5

Write the Roman Numeral for 500 + 190 using the expansion method.

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The Roman numeral for 500 + 190 is DCXC.

Explanation

Step 1: Convert the numbers 500 and 190 into Roman numerals.

500 - D

190 - CXC

Step 2: Add the numbers together: 500 + 190 = 690

Using the expansion method: 690 = 500 + 100 + 90 = DCXC

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FAQs on 690 in Roman Numerals

1.What is 90 in Roman numerals?

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2.How to write 690 in Roman numerals?

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3.What is 600 in Roman numerals?

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4.Is DCXC a prime number?

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5.What are the multiples of 690?

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Professor Greenline from BrightChamps

Important Glossaries for 690 in Roman Numerals

  • Addition rule: The addition method is used when a large number is followed by a smaller numeral; here, the values are added. For example, DCXC = D + C + XC = 500 + 100 + 90 = 690
     
  • Grouping method: Here, the given numbers are grouped based on their place value and then converted into Roman numerals. For example, 690 = 500 + 100 + 90 = DCXC
     
  • 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; here, the smaller value is subtracted from the larger. For example, XC = C - X = 100 - 10 = 90
     
  • Place value: Roman numeral values are determined by their position and combination, such as in DCXC where D = 500, C = 100, and XC = 90.
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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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