Last updated on May 26th, 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.
Students often make mistakes when writing numbers in Roman Numerals. To master Roman Numerals, we can learn a few common mistakes and ways to avoid them.
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?
The total value of the artifacts is XLV × M = XLV M
In Roman numerals, XLV is 45 and M is 1000.
The total value is 45 × 1000 = 45000.
45000 in Roman numerals can be written as XLV M.
A library plans to archive L books in bundles, with each bundle containing CM books. How many bundles will the library create?
The library will create L bundles.
To find how many bundles are created, divide the total number of books by the number of books per bundle.
L = 50 CM = 900
Thus, 45000 / 900 = 50
The number of bundles is L.
Determine the sum of XXV M and XX M in Roman numerals.
The sum of XXV M and XX M is XLV M.
Sum is the result of adding two numbers.
XXV M = 25000
XX M = 20000
25000 + 20000 = 45000
45000 in Roman numerals is XLV M.
How much more is XLV M than XV M?
XLV M is XXX M more than XV M.
The difference of two numbers is the value we get when subtracting one number from the other.
XLV M = 45000
XV M = 15000
45000 - 15000 = 30000
30000 in Roman numerals can be written as XXX M.
Write the Roman numeral for the product of IX and V M using the multiplication method.
The Roman numeral for the product of IX and V M is XLV M.
Step 1: First convert the numbers IX and V
M into Roman numerals.
IX = 9
V M = 5000
Multiply the numbers together: 9 × 5000 = 45000
45000 in Roman numerals is XLV M.
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.