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Last updated on March 3rd, 2025

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XCVIII 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 XCVIII.

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What is XCVIII in Roman Numerals?

Ancient Romans discovered that counting fingers could become very complicated after 10. 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. XCVIII in Roman numerals can be written in number form by adding the values of each Roman numeral, i.e., XCVIII = 98.

 

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

xcviii roman numerals

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Basic Rules for XCVIII 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 XCVIII in Roman Numerals?

Let us learn about how to write XCVIII 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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XCVIII 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 XCVIII,

Step 1: First we break the Roman numerals. XCVIII = XC + V + I + I + I

Step 2: Write the Roman Numerals for each part The Roman Numeral XC is 90 The Roman Numeral V is 5 The Roman Numeral I is 1

Step 3: Combine all the numbers XC + V + I + I + I = 90 + 5 + 1 + 1 + 1 = 98. Therefore, the Roman Numeral XCVIII is 98.

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XCVIII 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 XCVIII.

Step 1: The larger Roman numerals are what we will begin with. Once split, the Roman numerals we get are XC and VIII. The numeral for XC is 90

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

 

Here we add VIII to XC, and we will get XCVIII. The Roman numeral VIII is 8 Therefore, the numeral of XCVIII is 98.

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Common Mistakes and How to Avoid Them in XCVIII Roman Numerals

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xcviii Roman Numerals Examples

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Problem 1

What is the result of adding LXXXIV and XIV? Provide the answer in Roman numerals.

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Explanation

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Problem 2

Subtract XX from CXVIII and express the result in Roman numerals.

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Explanation

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Problem 3

Multiply XLIX by 2 and write the answer in Roman numerals.

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Explanation

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Problem 4

Divide CXCVI by 2 and provide the answer in Roman numerals.

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Explanation

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Problem 5

Convert the Roman numeral XCVIII into its decimal form.

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Explanation

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FAQs on XCVIII in Roman Numerals

1.What is XC in Roman numerals?

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2.Is XCVIII a prime number?

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3.What is XCVIII + XCVIII?

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4.What is C in Roman numerals?

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5.Subtract L from XCVIII

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Important Glossaries for XCVIII in Roman Numerals

  • Limitation Rule: Some symbols cannot be repeated more than once (V, L, D). For example, writing VV for 10 is wrong; the correct representation is X.

 

  • Place Value: The position of a digit in a number, which determines its value. For example, the number 9 in 98 is in the tens place.

 

  • Subtraction Method: A rule in Roman numerals where a smaller numeral before a larger numeral indicates subtraction. For example, IX represents 9 (10 - 1).

 

  • Prime Number: A number that has only two factors, 1 and itself. For example, 97 is a prime number.

 

  • Addition Method: A rule in Roman numerals where numerals are added if smaller numerals follow larger ones. For example, VI is 6 (5 + 1).
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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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: She loves to read number jokes and games.

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