CXXXVII Roman Numerals: Rules, Solved Examples & Practice Problems

CXXXVII Roman numeral represent the number 137 (one hundred thirty-seven). Roman numerals are part of history, dating back to ancient Rome. These numerals were used in the old days for various calculations in trade, engineering, and legal systems. Even in the modern world, Roman numerals are frequently seen on clocks, books, movies, and at formal events. Reading, writing, and converting Roman numerals into numbers is an important skill that one must learn to gain an understanding of this classical numbering system.

In this article, we have explained CXXXVII Roman numerals comprehensively to provide a better understanding of how to convert them into numbers, along with reading and writing rules. We have also included basic Roman numeral rules and practical examples.

Table of Contents

• How to Write CXXXVII Roman Numeral in Numbers?
• Numbers Related to CXXXVII Roman Numerals
• Basic Rules to Write Roman Numerals
• Solved Examples on CXXXVII Roman Numeral
• Practice Problems on CXXXVII Roman Numeral
• Conclusion
  
  

How to Write CXXXVII Roman Numeral in Numbers?

To write CXXXVII Roman numerals in numbers, we can use two different methods. 

I. Expansion Method

II. Grouping Method

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Method 1: Expansion Method

• Break the CXXXVII Roman numerals into parts.

• Replace each Roman numeral with its numerical value as per place value.

• Add all of these numbers together.

In this method, we have to first write CXXXVII in expanded form as  C + X + X + X + (V + II) 

and then add/subtract each number individually. i.e.,= 100 + 10 + 10 + 10 + 7 = 137

Method 2: Grouping Method

In the second method, we can pair numbers in groups and then consider them for addition/subtraction. 

For instance, CXXXVII can be written in groups as 

C + XXX + VII

 Now, replace each numeral with its numerical value and add: 100 + 30 + 7 = 137.

 

Numbers Related to CXXXVII Roman Numerals

 

Basic Rules to Write Roman Numerals in Numbers

There are important rules that should be followed to write and convert Roman numbers correctly in numbers. They involve understanding the placement and repetition of letters and symbols. As Roman numerals apply both addition and subtraction to represent numbers, it’s essential to follow the fundamental rules that govern Roman numeral construction to ensure accuracy.

• No numeral can appear more than three times in a row (e.g., XX = 20, but 4 is IV).

• Smaller numerals before larger ones indicate subtraction (e.g., IX = 9).

• Smaller numerals after larger ones indicate addition (e.g., VI = 6).

• Only certain pairs use the subtraction rule, such as:
  I before V and X
  X before L and C

These basic rules help avoid common mistakes when writing Roman numerals.

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Solved Examples on CXXXVII Roman Numeral

Example 1. Write the numerical value of CXXXVII Roman numeral.

Answer: To write CXXXVII Roman numeral in numerical value, we first need to break it into smaller parts and then add them as: C + X + X + X + V + I + I = 100 + 10 + 10 + 10 + 5 + 1 + 1= 137

Example 2. Determine the value of CXXXVII – CXXX.

Answer: We know that, 

CXXXVII = C + X + X + X + VII = 100 + 10 + 10 + 10 + 7 =137 

CXXX = C +  X + X + X = 100 + 10 + 10 + 10 = 130

So, CXXXVII – CXXX = 137 –130 = 7

Therefore, CXXXVII – CXXX = VII

Example 3. What is the sum of C + XXXVII?

Answer: C = 100 and XXXVII = 37, So, C + XXXVII = CXXXVII.

Example 4. Find the value of CXXXVII + XIII.

Answer: CXXXVII = 137

XIII = 13

137 + 13 = 150

150 in Roman numerals = CL

Therefore, CXXXVII + XIII = CL

Example 5. Divide CXXXVII by VII.

Answer: CXXXVII = 137

VII = 7

137 ÷ 7 = 19 remainder 4

19 in Roman numerals = XIX

4 in Roman numerals = IV

Therefore, CXXXVII ÷ VII = XIX remainder IV

Practice Problems on CXXXVII Roman Numeral

1. How to write CXXXVII in numbers?
2. What is the sum of XXX + CVII?
3. Subtract XXXII from CLV and express the result in Roman numerals
4. What is CXXXVII + XX?
5. Subtract X from CXXXVII and write the answer in Roman numerals.
6. What number comes just after CXXXVII?
7. Divide CXXXVII by I. What is the result?
8. Express CXXXVII − L in Roman numerals.
9. If you add III to CXXXVII, what number do you get?
10. Write the predecessor of CXXXVII in Roman numerals.
    
    

Conclusion

Roman numbers are part of an ancient number system that is still in use. It originated in ancient Rome. It uses a combination of letters and specific rules for addition and subtraction to write numbers. By learning these rules and practicing examples, students can easily interpret the Roman numerals in daily life.Learn CXXXVII Roman numerals and more such math topics with Orchids The International School.