Last updated on May 26th, 2025
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.
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.
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.
When a smaller numeral follows a larger numeral, their values are added. For example, VIII → V + I + I + I → 5 + 1 + 1 + 1 = 8.
Some Roman Numerals can be repeated up to three times for summation. For example, CCC → 300.
If a smaller numeral precedes a larger numeral, the smaller is subtracted from the larger. For example, XC → C - X → 100 - 10 = 90.
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.
Let’s explore how to write 998 in Roman Numerals using different methods.
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:
Step 3: Combine the Roman Numerals. Therefore, 998 in Roman Numerals is CM (900) + XC (90) + VIII (8) = CMXCVIII.
When writing a large number in Roman Numerals, we group the number. For 998, group as 900 + 90 + 8:
Thus, 998 is written as CMXCVIII in 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.
If a historian finds a manuscript from the year CMXCVIII, how many years old is it if it’s currently the year MMXXIII?
The manuscript is MXXV years old.
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.
A collection of CMXCVIII artifacts is to be divided equally among XLIX museums. How many artifacts does each museum receive?
Each museum receives XXIV artifacts.
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.
Calculate the difference when CCCL is subtracted from CMXCVIII.
The difference is DCXLVIII.
First, convert both numbers to regular numbers:
CMXCVIII = 998
CCCL = 350
998 - 350 = 648
648 in Roman numerals is DCXLVIII.
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?
The new total is MCCCXXI.
Add the two numbers together:
CMXCVIII = 998
CCCXXIII = 323
998 + 323 = 1321
1321 in Roman numerals is MCCCXXI.
Write the Roman numeral representation for half of 998 using the division method.
The Roman numeral for half of 998 is CDXCIX.
Divide 998 by 2 to find half:
998 / 2 = 499
499 in Roman numerals can be written as CDXCIX.
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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