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Last updated on March 2nd, 2025

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XXXVII in Roman Numerals

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Foundation
Intermediate
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To meet their daily commerce and administration needs, the ancient Romans developed Roman Numerals. It used a combination of seven symbols — I, V, X, L, C, D, and M to represent numbers. Roman numerals were used to record transactions, keep track of data, and label military units. In this topic, we are going to learn about the Roman numeral XXXVII.

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What is XXXVII in Roman Numerals?

Ancient Romans discovered that counting fingers could get very complicated after 10. So to overcome the complexity, the Roman numeric system was developed. This was widely used throughout Europe as a standard writing system until the late Middle Ages.

 

Seven symbols are used to represent numbers in the Roman numeric system — I, V, X, L, C, D, and M. The numerals are made up of different combinations of these symbols. XXXVII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e. XXXVII = 37.

 

Let us learn more about the Roman numeral XXXVII, how we write it, the mistakes we usually make, and ways to avoid these mistakes.xxxvii roman numerals

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Basic Rules for XXXVII in Roman Numerals

When writing Roman numerals, there are a few rules that we need to follow based on the Roman numerals we are trying to write. In this section, we will learn about the rules when writing Roman numerals and how to represent them.

 

Rule 1: Addition Method:

When a larger symbol is followed by a smaller symbol, we add the numerals to each other. For example, in VIII, we have 5+3=8.

 

Rule 2: Repetition Method:

A symbol that is repeated three times in continuation increases the value of the numeral. For example, XXX=30.

 

Rule 3: Subtraction Method:

We use the subtraction method when a larger symbol follows a smaller symbol. For example, XL=40 (which is 50–10).

 

Rule 4: Limitation Rule:

Symbols cannot be repeated more than three times, and some symbols, such as V, L, and D cannot be repeated more than once. For example, 10 is represented as X and not VV.

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How to Write XXXVII in Roman Numerals?

Let us learn about how to write XXXVII in Roman numerals. There are two methods that we can use to write Roman numerals:

 

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

The breaking down of Roman numerals into parts and then converting them into numerals is what we call the expansion method. The expansion method is the breaking down of Roman numerals into numerical form and adding them to get the final number.

 

Step 1: Break the Roman numerals into parts.

 

Step 2: Now write each of the Roman numerals with its numerical digit in the place value.

 

Step 3: Add the numerals together.

 

For XXXVII,

 

Step 1: First we break the Roman numerals. XXXVII = X + X + X + V + I + I

 

Step 2: Write the Roman Numerals for each part The Roman Numeral X is 10 The Roman Numeral V is 5 The Roman Numeral I is 1

 

Step 3: Combine all the numbers X + X + X + V + I + I = 10 + 10 + 10 + 5 + 1 + 1 = 37. Therefore, the Roman Numeral XXXVII is 37.

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XXXVII in Roman Numeral by Grouping Method

Using subtraction and addition rules, we will apply the grouping method. This means we break the Roman numerals into smaller groups, which makes it easier to work with. This method groups the Roman numerals logically, and then we write the numbers for each group.

 

Step 1: Take the largest number and write the number for that Roman numeral.

 

Step 2: Write the Roman numeral using the subtraction and addition rules.

 

Example: Let’s take the Roman numeral XXXVII.

 

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are XXX and VII. The numeral for XXX is 30.

 

Step 2: Now we need to either add or subtract the smaller number, depending on its place. Here we add VII to XXX and we will get XXXVII. The Roman numeral VII is 7. Therefore, the numeral of XXXVII is 37.

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Common Mistakes and How to Avoid Them in XXXVII Roman Numerals

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XXXVII Roman Numerals Examples

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Problem 1

Calculate the sum of XXXVII + XLII. Write the result in Roman numerals.

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Explanation

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Problem 2

What is the difference between XC - XXXVII? Provide the answer in Roman numerals.

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Explanation

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Problem 3

Multiply XXXVII by II and express the answer in Roman numerals.

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Explanation

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Problem 4

Divide LXXIV by XXXVII and provide the result as a whole number in Roman numerals.

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Explanation

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Problem 5

Convert XXXVII to its decimal form.

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Explanation

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FAQs on XXXVII in Roman Numerals

1.What is XXX in Roman numerals?

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2.Is XXXVII a prime number?

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3.What is XXXVII + XXXVII?

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4.What is XLVII?

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5.Subtract XVII from XXXVII

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Important Glossaries for XXXVII in Roman Numerals

  • Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, LLL for 150 is wrong, the correct answer is CL.
     
  • Place Value: The position of a digit in a number, this position determines its value. For example, the number 3 in 37 is the ten's place.
     
  • Prime Number: A number that has only two factors or multiples is called a prime number. For example, 37 is a prime number that has only two factors 1 and itself.
     
  • Addition Method: A rule in Roman numerals where a smaller numeral follows a larger numeral, and their values are added.
     
  • Subtraction Method: A rule where a smaller numeral precedes a larger numeral, indicating subtraction of the smaller value from the larger one.
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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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