Table Of Contents
Last updated on March 24th, 2025
Roman numerals are a system for expressing numbers using symbols. The symbols I, V, X, L, C, D, and M are employed in this system. Roman Numerals are used in various contexts such as royal titles, book names, sequences, and more. Here we will discuss Roman Numerals, their rules, and examples.
Royal titles such as Henry I, Henry II, and so on utilize Roman Numerals. Have you noticed these symbols (I, II) and wondered what they represent? They are Roman Numerals. Ancient people initially counted using fingers, sticks, bones, etc. As life became more complex, a standardized form was needed for counting.
Ancient Romans developed the Roman Numeral system. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) were used for counting. In Roman Numerals, we use XLV to represent 45000, where XL is 40 and V is 5, and the overline indicates multiplication by 1000.
Let’s learn more about Roman numerals and how we write them.
There are several basic rules for writing numbers in Roman Numerals. In this section, let’s discuss some basic rules to remember when writing numbers in Roman numerals.
The addition method is used when a smaller numeral is placed after a larger numeral. For example, VI → V + I → 5 + 1 = 6
To write larger numbers, certain Roman Numerals can be repeated up to three times. For example, III → 3.
If a smaller numeral precedes a larger numeral, we subtract the smaller numeral from the larger numeral. For example, IV → V - I → 5 - 1 = 4
Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we won't write VV for 10; instead, we use X. For 8, we write VIII, not IIIIIIII.
Let us now learn how to write 45000 in Roman Numerals. Follow these methods to write the number in Roman Numerals:
In the expansion method, the number is broken down based on place value. In this section, we will learn how to write 45000 in Roman numerals using the expansion method. To write 45000 in Roman Numerals, follow the steps:
Step 1: Break down the number based on place value: tens of thousands, thousands, hundreds, etc. For 45000, we write it as 40000 + 5000
Step 2: Convert the number into Roman Numerals:
Step 3: Apply the overline to indicate multiplication by 1000. Therefore, 45000 in Roman Numerals is XLV̅
When writing large numbers in Roman Numerals, we group the number. To write 45000 in Roman Numerals, we group 45000 as 40000 + 5000.
So, 45000 is written as XLV̅ in Roman Numerals.
A historian is cataloging ancient artifacts and finds a collection labeled XLV artifacts, with each artifact valued at M. What is the total value of the artifacts in Roman numerals?
A library plans to archive L books in bundles, with each bundle containing CM books. How many bundles will the library create?
Determine the sum of XXV M and XX M in Roman numerals.
How much more is XLV M than XV M?
Write the Roman numeral for the product of IX and V M using the multiplication method.
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.
: She loves to read number jokes and games.