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Last updated on February 26th, 2025

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CCXXXVII in Roman Numerals

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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 CCXXXVII.

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What is CCXXXVII 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. CCXXXVII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e. CCXXXVII = 237.

 

Let us learn more about the Roman numeral CCXXXVII, how we write them, the mistakes we usually make, and ways to avoid these mistakes.

 

ccxxxvii roman numerals

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Basic Rules for CCXXXVII 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 CCXXXVII in Roman Numerals?

Let us learn about how to write CCXXXVII 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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CCXXXVII 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 CCXXXVII,

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

Step 2: Write the Roman Numerals for each part The Roman Numeral C is 100 The Roman Numeral X is 10 The Roman Numeral V is 5 The Roman Numeral I is 1

Step 3: Combine all the numbers C + C + X + X + X + V + I + I = 100 + 100 + 10 + 10 + 10 + 5 + 1 + 1 = 237. Therefore, the Roman Numeral CCXXXVII is 237.

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CCXXXVII 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 CCXXXVII.

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are CC, XXX, and VII. The numeral for CC is 200.

Step 2: Now we need to either add or subtract the smaller number, depending on its place.

 

Here we add XXX and VII to CC, and we will get CCXXXVII. The Roman numeral XXX is 30, and VII is 7. Therefore, the numeral of CCXXXVII is 237.

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Common Mistakes and How to Avoid Them in CCXXXVII Roman Numerals

Students can make mistakes when studying Roman numerals. Here are a few common mistakes students make, and ways to avoid them.

Mistake 1

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Mistakes when applying the repetition method

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It can be quite confusing for beginners to remember that Roman Numerals cannot be repeated more than three times. Another thing to keep in mind is that Roman Numerals such as V, L, and D cannot be repeated.

For example, writing LL as 100 is incorrect; the correct answer is C.

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CCXXXVII Roman Numerals Examples

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Problem 1

Calculate the sum of CCXXXVII + LXV. Provide the answer in Roman numerals.

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The sum is CCCII

Explanation

Convert both Roman numerals into their decimal form:

CCXXXVII = 237

LXV = 65

Now add both numbers: 237 + 65 = 302

Convert 302 into Roman numerals: 300 (CCC) + 2 (II) = CCCII

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Problem 2

What is the result of subtracting LXXIV from CCXXXVII? Write the answer in Roman numerals.

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The result is CLXIII

Explanation

Convert the Roman numerals into their decimal form:

CCXXXVII = 237

LXXIV = 74

Subtract the numbers: 237 - 74 = 163

Convert 163 into Roman numerals: 100 (C) + 50 (L) + 10 (X) + 3 (III) = CLXIII

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Problem 3

Divide CCXXXVII by 7 and express the quotient in Roman numerals.

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XXXIX

Explanation

Convert CCXXXVII into its decimal form:

CCXXXVII = 237

Divide by 7: 237 / 7 = 33.857 (round to nearest whole number: 34)

Convert 34 into Roman numerals: 30 (XXX) + 4 (IV) = XXXIV

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Problem 4

What is the product of CCXXXVII and II? Provide the answer in Roman numerals.

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CCCCLXXIV is the product of CCXXXVII and II.

Explanation

Convert CCXXXVII and II into numbers:

CCXXXVII = 237

II = 2

Multiply the numbers: 237 × 2 = 474

Convert 474 into Roman numerals: 400 (CD) + 70 (LXX) + 4 (IV) = CDLXXIV

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Problem 5

Convert CCXXXVII to its decimal form.

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In decimal form, CCXXXVII is 237.

Explanation

Break CCXXXVII into components:

CC = 200 (C + C) XXX = 30 (X + X + X) VII = 7 (V + I + I)

Add values: 200 + 30 + 7 = 237

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FAQs on CCXXXVII in Roman Numerals

1.What is XXXVII in Roman numerals?

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2.Is CCXXXVII a prime number?

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3.What is CCXXXVII + CCXXXVII?

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4.What is XXXVII?

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5.Subtract XX from CCXXXVII

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Important Glossaries for CCXXXVII in Roman Numerals

  • Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, LVV for 60 is wrong; the correct answer is LX.

 

  • Place value: The position of a digit in a number; this position determines its value. For example, the number 3 in 237 is in the unit's place.

 

  • Addition Method: A method where numerals are added when a larger numeral is followed by a smaller one.

 

  • Repetition Method: Repeating a symbol to increase its value, but not more than three times consecutively.

 

  • Grouping Method: A technique in Roman numerals where numbers are broken down into logical groups for easier calculation.
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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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