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Last updated on February 24th, 2025

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170 in Roman Numerals

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Foundation
Intermediate
Advance Topics

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.

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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

 

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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.

 

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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
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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

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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

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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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Explanation

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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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Explanation

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Problem 3

Calculate the sum of CX and LX.

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Explanation

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Problem 4

Determine the difference between CC and XXX.

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Explanation

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Problem 5

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

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Explanation

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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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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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