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Last updated on February 21st, 2025

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351 in Roman Numerals

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Foundation
Intermediate
Advance Topics

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.

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What is 351 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. 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 CCCLI to represent 351, where CCC is 300, L is 50, and I is 1. Let’s learn more about Roman numerals and how we write them.

351 in roman numerals
 

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Basic Rules for 351 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, LI → L + I → 50 + 1 = 51.

 

Rule 2: Repetition Method

 

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

 

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, XL → L - X → 50 - 10 = 40.

 

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 LL for 100; instead, we use C, and 9 is written as IX, not VIIII.
 

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How to Write 351 in Roman Numerals

Let’s now learn how to write 351 in Roman numerals. Follow these methods to write the number in Roman numerals. 


By Expansion Method
By Grouping Method
 

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351 in Roman Numeral by Expansion Method

In the expansion method, based on place value, the number is broken down. In this section, we will learn how to write 351 in Roman numerals using the expansion method.

 

To write 351 in Roman numerals, follow the steps:

 

Step 1: Break the number based on place value. Place values are ones, tens, hundreds, etc.

 

For 351, we write it as 300 + 50 + 1.


Step 2: Convert the number into Roman numerals:


300 in Roman numerals — CCC
50 in Roman numerals — L
1 in Roman numerals — I


Step 3: Combine the Roman numerals together.


Therefore, 351 in Roman numerals is CCC (300) + L (50) + I (1) = CCCLI.
 

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351 in Roman Numeral by Grouping Method

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


To write 351 in Roman numerals, we group 351 as 300 + 50 + 1.


300 in Roman numerals — CCC
50 in Roman numerals — L
1 in Roman numerals — I


So, 351 is written as CCCLI in Roman numerals.
 

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Common Mistakes and How to Avoid Them in 351 Roman Numerals

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351 in Roman Numerals Examples

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Problem 1

A historian is cataloging ancient artifacts and finds a collection of artifacts labeled CL and CXLI. What is the combined total of these artifacts in Roman numerals?

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Explanation

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Problem 2

An architect is designing a museum with a total floor area of DCCLXXXV square meters, divided equally into XXV rooms. How many square meters is each room?

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Explanation

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Problem 3

A mathematician is examining patterns in numbers and calculates the sum of CLXXV and CLXXVI. What is the result in Roman numerals?

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Explanation

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Problem 4

What is the difference between CD and XLIX?

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Explanation

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Problem 5

Write the Roman Numeral for 200 + 151 using the expansion method.

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Explanation

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FAQs on 351 in Roman Numerals

1.What is 349 in Roman numerals?

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2.How to write 351 in Roman numerals?

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3.What is 356 in Roman Numerals?

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4.Is CCCLI a prime number?

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5.What are the multiples of 351?

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Important Glossaries for 351 in Roman Numerals

  • Addition rule: The addition method is used when a large number is followed by a smaller numeral, so the values are added. For example, CCCLI = CCC + L + I = 300 + 50 + 1 = 351.
     
  • Grouping method: Here, the given number is grouped based on its place value and then each group is converted into Roman numerals. For example, 351 = 300 + 50 + 1 = CCCLI.
     
  • 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 one. For example, XL = L - X = 50 - 10 = 40.
     
  • Place value: The numerical value that a digit has by virtue of its position within a number. For example, in 351, the place values are 300, 50, and 1.
     
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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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: She loves to read number jokes and games.

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