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Last updated on February 26th, 2025

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CCXXXVIII 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 CCXXXVIII.

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What is CCXXXVIII 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. CCXXXVIII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., CCXXXVIII = 238.

 

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

 

ccxxxviii roman numerals

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Basic Rules for CCXXXVIII 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 smaller symbol precedes a larger 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 CCXXXVIII in Roman Numerals?

Let us learn about how to write CCXXXVIII 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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CCXXXVIII 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 CCXXXVIII,

Step 1: First, we break the Roman numerals. CCXXXVIII = C + C + X + X + X + V + I + 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 + I = 100 + 100 + 10 + 10 + 10 + 5 + 1 + 1 + 1 = 238. Therefore, the Roman Numeral CCXXXVIII is 238.

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CCXXXVIII 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 CCXXXVIII.

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are CC, XXX, and VIII. 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 VIII to CC and we will get CCXXXVIII. The Roman numeral XXX is 30 The Roman numeral VIII is 8 Therefore, the numeral of CCXXXVIII is 238.

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Common Mistakes and How to Avoid Them in CCXXXVIII Roman Numerals

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CCXXXVIII Roman Numerals Examples

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Problem 1

In a Roman numeral treasure map, the distance to the treasure is marked as CCXXXVIII paces. If the adventurer has already walked CLVI paces, how many paces are left to reach the treasure? Write the answer in Roman numerals.

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Explanation

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Problem 2

A historian discovers two ancient scrolls. One scroll dates back to CCXXXVIII AD and the other to CLXXXII AD. What is the difference in years between the two scrolls? Write the answer in Roman numerals.

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Explanation

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Problem 3

A Roman merchant had a shipment of CCXXXVIII amphorae. If he sells each amphora for III denarii, how much total revenue does he earn? Write the total revenue in Roman numerals.

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Explanation

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Problem 4

If a Roman legion is split into CCXXXVIII squads and each squad has X soldiers, how many soldiers are there in total? Write the answer in Roman numerals.

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Explanation

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Problem 5

A Roman feast requires CCXXXVIII loaves of bread. If each loaf is cut into VIII pieces, how many pieces of bread are there in total? Write the answer in Roman numerals.

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Explanation

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FAQs on CCXXXVIII in Roman Numerals

1.What is CXXXVIII in Roman numerals?

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2.Is CCXXXVIII a prime number?

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3.What is CCXXXVIII + CCXXXVIII?

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4.What is CCCXXXVIII?

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5.Subtract XXXVIII from CCXXXVIII

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Important Glossaries for CCXXXVIII in Roman Numerals

  • Limitation Rule: There are some symbols that cannot be repeated more than once (V, L, D). For example, VV for 10 is wrong, the correct answer is X.

 

  • Place value: The position of a digit in a number, this position determines its value. For example, the number 2 in 238 is in the hundred's place.

 

  • Subtraction Method: A method where smaller numerals are placed before larger ones to indicate subtraction. For example, IX = 9.

 

  • Prime Number: A number that has only two factors or multiples is called a prime number. For example, 13 is a prime number that has only two factors 1 and itself.

 

  • Grouping Method: A method of writing Roman numerals by logically grouping symbols to simplify calculations and understanding.
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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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