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Last updated on May 26th, 2025

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317 in Roman Numerals

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Roman numerals are a method of expressing numbers using specific symbols: I, V, X, L, C, D, and M. They are commonly used in royal titles, book names, sequences, and more. Here, we will explore Roman numerals, their rules, and examples.

317 in Roman Numerals for Vietnamese Students
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What is 317 in Roman Numerals?


You've probably seen royal titles like Henry VIII and wondered what the symbols represent. These are Roman numerals. In ancient times, people counted using fingers, sticks, bones, etc. As life became more complex, a standardized form was needed for counting, which led to the Roman numeral system. The symbols include I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).

In Roman numerals, we use CCCXVII to represent 317. Here, CCC is 300, X is 10, V is 5, and II is 2. Let's learn more about Roman numerals and how we write them.

317 in roman numerals

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Basic Rules for 317 in Roman Numerals

There are basic rules to write a number in Roman numerals. Let's discuss these rules that are crucial when writing numbers in Roman numerals.

Rule 1: Addition Method

The addition method is used when a smaller number is placed after a larger number. For example, XVII → X + V + II → 10 + 5 + 2 = 17.

Rule 2: Repetition Method

Certain Roman numerals can be repeated up to three times. For example, CCC → 300.

Rule 3: Subtraction Method

If a smaller number precedes a larger number, we subtract the smaller number. For example, IV → V - I → 5 - 1 = 4.

Rule 4: Limitation Rule

Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we don't write VV for 10; instead, we use X. For 8, we write VIII, not IIIIIIII.
 

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How to Write 317 in Roman Numerals

Let’s learn how to write 317 in Roman numerals. Follow these methods to write the number in Roman numerals.

  • By Expansion Method
  • By Grouping Method
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317 in Roman Numeral by Expansion Method

In the expansion method, the number is broken down based on place value.

To write 317 in Roman numerals, follow these steps:

Step 1: Break down the number based on place value: hundreds, tens, and ones.

For 317, we write it as 300 + 10 + 7.

Step 2: Convert the number into Roman numerals:
- 300 in Roman numerals — CCC
- 10 in Roman numerals — X
- 7 in Roman numerals — VII

Step 3: Combine them into Roman numerals.
Therefore, 317 in Roman numerals is CCC (300) + X (10) + VII (7) = CCCXVII.
 

Professor Greenline from BrightChamps

317 in Roman Numeral by Grouping Method

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

To write 317 in Roman numerals, group 317 as 300 + 10 + 7:
- 300 in Roman numerals — CCC
- 10 in Roman numerals — X
- 7 in Roman numerals — VII

So, 317 is written as CCCXVII in Roman numerals.
 

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Common Mistakes and How to Avoid Them in 317 Roman Numerals

Students often make mistakes when writing numbers in Roman numerals. Here are some 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 as it states that Roman numerals cannot be repeated more than three times. Additionally, some numerals like V, L, and D cannot be repeated.

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317 in Roman Numerals Examples

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Problem 1

A historian found a chest containing CCCXVII ancient coins. If he distributes them equally among VII researchers, how many coins will each researcher receive?

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 Each researcher will receive XLV coins.
 

Explanation

 To find the number of coins each researcher gets, we divide the total number of coins by the number of researchers.
That is CCCXVII / VII.
CCCXVII = 317
VII = 7
Therefore, CCCXVII / VII = 317 / 7 = 45.
45 in Roman numerals can be written as XLV.
 

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Problem 2

Find the sum of CCLX and LVII.

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The sum of CCLX and LVII is CCCXVII.
 

Explanation

The sum is the result of adding two numbers.
CCLX = 260
LVII = 57
260 + 57 = 317
317 in Roman numerals is CCCXVII.
The sum of CCLX and LVII is CCCXVII.
 

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Problem 3

A teacher divides a total of CMXV books among XXIX students. Determine how many books each student receives.

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Each student will receive XXXI books.

Explanation

To find the number of books each student gets, divide the total number of books by the number of students.
CMXV = 915
XXIX = 29
915 / 29 = 31
31 in Roman numerals is XXXI.
 

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Problem 4

What is the difference between DCCC and CCCXVII?

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 The difference between DCCC and CCCXVII is CDLXXXIII.

Explanation

The difference of two numbers is the value obtained by subtracting one number from the other.
DCCC = 800
CCCXVII = 317
800 - 317 = 483
483 in Roman numerals is CDLXXXIII.
 

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Problem 5

Write the Roman Numeral for 150 + 167 using the expansion method.

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The Roman numeral for 150 + 167 is CCCXVII.

Explanation

Step 1: First convert the numbers 150 and 167 into Roman numerals.
150 = CL
167 = CLXVII

Add the numbers together: 150 + 167 = 317
Using expansion method: 317 = 300 + 10 + 7 = CCCXVII.
 

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FAQs on 317 in Roman Numerals

1.What is 9 in Roman numerals?What is 9 in Roman numerals?

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2.How to write 317 in Roman numerals?

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3.What is 320 in Roman Numerals?

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4.What are some multiples of 317?

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Important Glossaries for 317 in Roman Numerals

 

  • Addition rule: Used when a larger numeral is followed by a smaller numeral, adding their values. For example, CCCXVII = CCC + X + VII = 300 + 10 + 7 = 317.

 

  • Grouping method: Numbers are grouped based on place value, then converted to Roman numerals. For example, 317 = 300 + 10 + 7 = CCCXVII.

 

  • Repetition rule: Some symbols (I, X, C, M) can be repeated up to three times. For example, CCC = 300.

 

  • Subtraction rule: Applied when a smaller numeral precedes a larger one, subtracting their values. For example, IX = 10 - 1 = 9.

 

  • Limitation rule: Symbols like V, L, and D cannot be repeated. For example, 10 is written as 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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