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Last updated on May 26th, 2025

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968 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.

968 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 968 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 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 CMLXVIII to represent 968, here CM is 900, LX is 60, and VIII is 8. Let’s learn more about Roman numerals and how we write them.

968 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 968 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, VIII → V + III → 5 + 3 = 8

 

Rule 2: Repetition Method

To write a large number, there are certain Roman numerals that can be repeated three times. III → 3.

 

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. For example, CM → M - C → 1000 - 100 = 900

 

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 968 in Roman Numerals

Let’s now learn how to write 968 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

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

968 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 968 in Roman numerals using the expansion method.

 

To write 968 in Roman numerals, follow the steps:

 

Step 1: Break the number based on the place value: hundreds, tens, and ones. For 968, we write it as 900 + 60 + 8

 

Step 2: Convert the number into Roman numerals:

  • 900 in Roman Numeral - CM
     
  • 60 in Roman Numeral - LX
     
  • 8 in Roman Numeral - VIII

 

Step 3: Combine the Roman numerals together. Therefore, 968 in Roman numerals is CM (900) + LX (60) + VIII (8) = CMLXVIII

Professor Greenline from BrightChamps

968 in Roman Numeral by Grouping Method

When writing a large number into Roman numerals, we group the number. To write 968 in Roman numerals, we group 968 as 900 + 60 + 8

 

  • 900 in Roman Numeral - CM
     
  • 60 in Roman Numeral - LX
     
  • 8 in Roman Numeral - VIII

 

So, 968 is written as CMLXVIII in Roman numerals.

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Common Mistakes and How to Avoid Them in 968 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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968 in Roman Numerals Examples

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Problem 1

Convert the year CMLXVIII into a significant historical event and describe its importance.

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The year CMLXVIII, which is 968 in Roman numerals, marks the establishment of the Archbishopric of Magdeburg by Emperor Otto I.

Explanation

In the year CMLXVIII (968), the Archbishopric of Magdeburg was established by Emperor Otto I as a significant ecclesiastical center in the Holy Roman Empire.

This event was crucial for the Christianization of the Slavic territories and the consolidation of Otto's influence in the region.

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Problem 2

A historian discovers a manuscript stating there were DCCCCLXVIII soldiers in a legion. If each soldier received an equal share of CCXLVIII coins, how many coins were distributed in total?

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A total of CCXXXIXM coins were distributed among the soldiers.

Explanation

To find the total number of coins distributed, we multiply the number of soldiers by the number of coins each received:

DCCCCLXVIII = 968

CCXLVIII = 248

968 × 248 = 239,264 239,264 in Roman numerals can be represented as CCXXXIXM (using overlines to denote multiplication by 1,000).

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Problem 3

A scribe is tasked with copying CMLXVIII pages in a month. If they work for XXX days, how many pages must they complete each day?

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The scribe must complete XXXII pages each day.

Explanation

To find the number of pages the scribe must complete each day, divide the total number of pages by the number of days:

CMLXVIII = 968

XXX = 30 968 / 30 = 32.267, which rounds down to 32 pages per day.

Therefore, the scribe must complete XXXII pages daily.

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Problem 4

If a Roman scholar adds CMLXVIII and CCXLV, what is the result in Roman numerals?

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The sum of CMLXVIII and CCXLV is MCCXIII.

Explanation

Adding the two numbers:

CMLXVIII = 968

CCXLV = 245

968 + 245 = 1,213

1,213 in Roman Numerals is MCCXIII.

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Problem 5

Express the multiplication of XL and XXIV using Roman numerals, and find the product.

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The product of XL and XXIV is CMLX.

Explanation

Convert the Roman numerals to numbers and multiply:

XL = 40

XXIV = 24

40 × 24 = 960

960 in Roman numerals is CMLX.

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FAQs on 968 in Roman Numerals

1.What is 900 in Roman numerals?

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2.How to write 968 in Roman numerals?

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3.What is 1000 in Roman Numerals?

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4.Is CMLXVIII a composite number?

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5.What are the multiples of 968?

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Professor Greenline from BrightChamps

Important Glossaries for 968 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, VIII = V + III = 5 + 3 = 8.

 

  • 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, 968 = 900 + 60 + 8 = CMLXVIII.

 

  • 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 the number 3).

 

  • Subtraction rule: The subtraction method is used when a smaller number precedes a larger one. For example, CM = M - C = 1000 - 100 = 900.

 

  • Limitation rule: Symbols such as V, L, and D cannot be repeated, and no symbol can be repeated more than three times 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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