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Last updated on May 26th, 2025

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170 in Roman Numerals

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Roman numerals are a way of expressing numbers using symbols such as I, V, X, L, C, D, and M. They are used in contexts like royal titles, book names, sequences, and more. Here, we will discuss Roman numerals, their rules, and examples.

170 in Roman Numerals for Vietnamese Students
Professor Greenline from BrightChamps

What is 170 in Roman Numerals?

Royal titles, such as Henry I and Henry II, often use Roman numerals. Have you noticed these symbols and wondered what they represent? These are Roman numerals.

 

In ancient times, people used fingers, sticks, and bones to count. As life became more complex, a standard form of counting was needed. The ancient Romans developed the Roman numeral system to meet this need. In this system, I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols used for counting.

 

In Roman numerals, we use CLXX to represent 170, where C is 100, L is 50, and XX is 20. Let’s learn more about Roman numerals and how we write them.

170 in roman numerals

 

Professor Greenline from BrightChamps

Basic Rules for 170 in Roman Numerals

There are certain basic rules to write numbers in Roman numerals. Let's discuss some essential 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, CLXX → C + L + X + X → 100 + 50 + 10 + 10 = 170

 

Rule 2: Repetition Method

 

To write large numbers, certain Roman numerals can be repeated up to three times. For example, XX → 20.

 

Rule 3: Subtraction Method

 

If a smaller number precedes a larger number in Roman numerals, we subtract the smaller number from the larger one. For example, XL → L - X → 50 - 10 = 40

 

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 won't write LL for 100; instead, we use C, and for 80, we write LXXX, not LXXXXXXXX.

 

Professor Greenline from BrightChamps

How to Write 170 in Roman Numerals

Let’s now learn how to write 170 in Roman numerals. Follow these methods to write the number in Roman numerals.

 

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

170 in Roman Numerals by Expansion Method

In the expansion method, the number is broken down based on place value. In this section, we will learn how to write 170 in Roman numerals using the expansion method.

 

To write 170 in Roman numerals, follow these steps:

 

Step 1: Break the number based on place value into hundreds, tens, and units. 

For 170, we write it as 100 + 50 + 10 + 10

Step 2: Convert the numbers into Roman numerals:

  100 in Roman numerals — C
  50 in Roman numerals — L
  10 in Roman numerals — X

Step 3: Combine the Roman numerals:

Therefore, 170 in Roman numerals is C (100) + L (50) + X (10) + X (10) = CLXX

Professor Greenline from BrightChamps

170 in Roman Numerals by Grouping Method

When writing a large number in Roman numerals, we group the number. To write 170 in Roman numerals, we group 170 as 100 + 50 + 10 + 10:

  100 in Roman numerals — C
  50 in Roman numerals — L
  10 in Roman numerals — X

So, 170 is written as CLXX in Roman numerals.

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Common Mistakes and How to Avoid Them in 170 Roman Numerals

Students often make mistakes when writing numbers in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.

Mistake 1

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Errors in the Repetition Method

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The repetition method can be confusing for beginners since 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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170 in Roman Numerals Examples

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Problem 1

A historian wants to distribute CCCXL historical artifacts among IIIC students evenly. How many artifacts will each student receive?

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Each student will receive CXVII artifacts.

Explanation

Divide the total number of artifacts by the number of students:  

CCCXL = 340  

IIIC = 3  

340 / 3 = 113.33, but since artifacts can't be split, each student receives 113.  

113 in Roman numerals is CXIII.

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Max, the Girl Character from BrightChamps

Problem 2

A contractor is tasked with cutting a CCLXX-meter long cable into segments measuring XVII meters each. How many full segments can be obtained?

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The contractor can obtain XV full segments.

Explanation

Divide the total cable length by the segment length:  

CCLXX = 270  

XVII = 17  

270 / 17 = 15.88, so 15 full segments can be made.  

15 in Roman numerals is XV.

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Max, the Girl Character from BrightChamps

Problem 3

Calculate the sum of CX and LX.

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The sum of CX and LX is CLXX.

Explanation

Add the two numbers together:  

CX = 110  

LX = 60  

110 + 60 = 170  

170 in Roman numerals is CLXX.

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Max, the Girl Character from BrightChamps

Problem 4

Determine the difference between CC and XXX.

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The difference between CC and XXX is CLXX.

Explanation

Subtract the smaller number from the larger number:  

CC = 200  

XXX = 30  

200 - 30 = 170  

170 in Roman numerals is CLXX.

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Max, the Girl Character from BrightChamps

Problem 5

A puzzle requires you to find the Roman numeral for the result of (L + C) + (XX - V).

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The Roman numeral for the result is CLXV.

Explanation

Step 1: Add L and C:  

L = 50  
C = 100  
50 + 100 = 150
 

Step 2: Subtract V from XX:  

XX = 20  
V = 5  
20 - 5 = 15

Step 3: Add the results from Step 1 and Step 2:  

150 + 15 = 165  

165 in Roman numerals is CLXV.

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FAQs on 170 in Roman Numerals

1.What is 90 in Roman numerals?

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2.How to write 170 in Roman numerals?

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3.What is 180 in Roman numerals?

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4.Is CLXX a prime number?

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5.What are the multiples of 170?

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Professor Greenline from BrightChamps

Important Glossaries for 170 in Roman Numerals

  • Addition Rule: The addition method is used when a larger numeral is followed by a smaller numeral, where their values are added. For example, CLXX = C + L + X + X = 100 + 50 + 10 + 10 = 170.

 

  • Grouping Method: The given numbers are grouped based on their place value and then converted into Roman numerals. For example, 170 = 100 + 50 + 10 + 10 = CLXX.

 

  • Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeral system can be repeated only up to three times. For example, XX = 20 (X is repeated two times to represent the number 20).

 

  • Subtraction Method: Used when a smaller numeral precedes a larger one, subtracting the former from the latter. For example, XL = 50 - 10 = 40.

 

  • Limitation Rule: Symbols cannot be repeated more than three times, and symbols like V, L, and D cannot be repeated. For example, we use LV for 55, not LLLV.
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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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