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Last updated on May 26th, 2025

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998 in Roman Numerals

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Roman numerals are a system of expressing numbers using symbols. I, V, X, L, C, D, and M are the symbols used. Roman Numerals are found in various contexts such as royal titles, book names, sequences, and more. Here we will be discussing Roman Numerals, rules, and examples specific to 998 in Roman Numerals.

998 in Roman Numerals for US Students
Professor Greenline from BrightChamps

What is 998 in Roman Numerals?

Roman numerals are used in various historical and modern contexts. The symbols I, V, X, L, C, D, and M are employed to represent numbers. Early civilizations counted using fingers, sticks, and other tools. As societies advanced, they required a more standardized numerical system.

 

Ancient Romans developed the Roman Numeral system for counting. The symbols are as follows: I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). In Roman Numerals, 998 is represented as CMXCVIII, where CM is 900, XC is 90, and VIII is 8.

 

Let’s delve deeper into the Roman Numeral system and its usage.998 in roman numerals

Professor Greenline from BrightChamps

Basic Rules for 998 in Roman Numerals

There are fundamental rules to writing numbers in Roman Numerals. This section outlines the basic rules necessary for writing a number like 998 in Roman numerals.

 

Rule 1: Addition Method

When a smaller numeral follows a larger numeral, their values are added. For example, VIII → V + I + I + I → 5 + 1 + 1 + 1 = 8.

 

Rule 2: Repetition Method

Some Roman Numerals can be repeated up to three times for summation. For example, CCC → 300.

 

Rule 3: Subtraction Method

If a smaller numeral precedes a larger numeral, the smaller is subtracted from the larger. For example, XC → C - X → 100 - 10 = 90.

 

Rule 4: Limitation Rule

Repetition of symbols is limited to three consecutive times, and certain symbols like V, L, and D cannot be repeated. For instance, instead of writing DDD for 1500, we write MD.

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How to Write 998 in Roman Numerals

Let’s explore how to write 998 in Roman Numerals using different methods.

 

  • By Expansion Method
  • By Grouping Method
Professor Greenline from BrightChamps

998 in Roman Numeral by Expansion Method

Using the expansion method, a number is broken down based on place values. Let's learn how to write 998 in Roman numerals through this method. To write 998 in Roman Numerals, follow these steps:

 

Step 1: Break the number based on place values: hundreds, tens, and ones. For 998, this is 900 + 90 + 8.

 

Step 2: Convert each part into Roman Numerals:

  • 900 in Roman Numerals - CM
     
  • 90 in Roman Numerals - XC
     
  • 8 in Roman Numerals - VIII

 

Step 3: Combine the Roman Numerals. Therefore, 998 in Roman Numerals is CM (900) + XC (90) + VIII (8) = CMXCVIII.

Professor Greenline from BrightChamps

998 in Roman Numeral by Grouping Method

When writing a large number in Roman Numerals, we group the number. For 998, group as 900 + 90 + 8:

  • 900 in Roman Numerals - CM
     
  • 90 in Roman Numerals - XC
     
  • 8 in Roman Numerals - VIII

Thus, 998 is written as CMXCVIII in Roman Numerals.

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Common Mistakes and How to Avoid Them in 998 Roman Numerals

Errors can occur when writing numbers in Roman Numerals. Understanding common mistakes and how to avoid them can help in mastering Roman Numerals.

Mistake 1

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Errors in Repetition Method

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The repetition method can be confusing as Roman Numerals cannot be repeated more than three times. Additionally, symbols like V, L, and D cannot be repeated.

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998 in Roman Numerals Examples

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Problem 1

If a historian finds a manuscript from the year CMXCVIII, how many years old is it if it’s currently the year MMXXIII?

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The manuscript is MXXV years old.

Explanation

First, convert the Roman numeral CMXCVIII to a number: CMXCVIII = 998 The current year is 2023, which in Roman numerals is MMXXIII. Calculate the age by subtracting: 2023 - 998 = 1025. 1025 years in Roman numerals can be written as MXXV.

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Problem 2

A collection of CMXCVIII artifacts is to be divided equally among XLIX museums. How many artifacts does each museum receive?

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Each museum receives XXIV artifacts.

Explanation

To find the number each museum receives, divide the total artifacts by the number of museums:

CMXCVIII = 998

XLIX = 49

998 / 49 = 20

remainder 18, but the integer division gives us XXIV. Therefore, each museum receives 20 artifacts, or XXIV in Roman numerals.

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Problem 3

Calculate the difference when CCCL is subtracted from CMXCVIII.

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The difference is DCXLVIII.

Explanation

First, convert both numbers to regular numbers:

CMXCVIII = 998

CCCL = 350

998 - 350 = 648

648 in Roman numerals is DCXLVIII.

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Problem 4

An ancient tablet has an inscription of CMXCVIII, and a modern artist adds another CCCXXIII to it. What is the new total in Roman numerals?

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The new total is MCCCXXI.

Explanation

Add the two numbers together:

CMXCVIII = 998

CCCXXIII = 323

998 + 323 = 1321

1321 in Roman numerals is MCCCXXI.

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Problem 5

Write the Roman numeral representation for half of 998 using the division method.

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The Roman numeral for half of 998 is CDXCIX.

Explanation

Divide 998 by 2 to find half:

998 / 2 = 499

499 in Roman numerals can be written as CDXCIX.

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FAQs on 998 in Roman Numerals

1.What is 999 in Roman numerals?

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2.How to write 998 in Roman numerals?

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3.What is 1000 in Roman Numerals?

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4.Is CMXCVIII a prime number?

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5.What are the multiples of 998?

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6.How can children in United States use numbers in everyday life to understand 998 in Roman Numerals?

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7.What are some fun ways kids in United States can practice 998 in Roman Numerals with numbers?

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8.What role do numbers and 998 in Roman Numerals play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve 998 in Roman Numerals skills?

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Professor Greenline from BrightChamps

Important Glossaries for 998 in Roman Numerals

  • Addition Rule: When a larger numeral is followed by a smaller numeral, their values are added. For example, VIII = V + I + I + I = 8.
     
  • Grouping Method: Breaking down a number into its place values and converting each to Roman Numerals. For example, 998 = 900 + 90 + 8 = CMXCVIII.
     
  • Repetition Rule: Only certain symbols (I, X, C, M) can be repeated up to three times. For example, CCC = 300.
     
  • Subtraction Rule: When a smaller numeral precedes a larger numeral, the smaller is subtracted from the larger. For example, XC = 100 - 10 = 90.
     
  • Symbol Limitation: Symbols like V, L, and D cannot be repeated. For example, instead of 10 as VV, we use X.
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we understand numbers are more than symbols—they unlock endless possibilities! Our goal is to guide children across the United States in mastering essential math skills, focusing today on the 998 in Roman Numerals with special attention to Roman numerals—in a fun, engaging, and easy-to-understand way. Whether your child is calculating how quickly a roller coaster zips through Disney World, tracking scores at Little League baseball games, or budgeting their allowance for cool gadgets, having solid number skills builds their confidence for daily tasks. Our interactive lessons make learning enjoyable and straightforward. Since kids across the USA have unique learning styles, we customize our methods to match each child. From the vibrant streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, relatable, and exciting throughout America. Let’s bring Roman numerals to life on every child’s math path!
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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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