Table Of Contents
Last updated on February 24th, 2025
Roman numerals are a way of expressing numbers using symbols. The symbols I, V, X, L, C, D, and M are used. Roman Numerals are seen in royal titles, book names, sequences, and more. Here we will be discussing Roman Numerals, their rules, and examples.
Royal titles like Henry I, Henry II, etc., use Roman Numerals. Have you noticed these symbols and wondered what they represent? They are Roman Numerals. In earlier times, people used fingers, sticks, and bones to count. As life became more complex, a standard form was needed for counting. Ancient Romans used the Roman Numeral system. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used.
In Roman Numerals, we use CXV to represent 115, where C is 100, X is 10, and V is 5. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules for writing a number in Roman Numerals. In this section, let’s discuss some basic rules that need to be remembered when writing a number in Roman numerals.
Rule 1: Addition Method
The addition method is used when a smaller number is placed after a larger number. For example, CXV → C + X + V → 100 + 10 + 5 = 115.
Rule 2: Repetition Method
To write a large number, some Roman Numerals can be repeated up to three times. For example, III → 3.
Rule 3: Subtraction Method
If a small number is followed by a larger number in Roman Numerals, we subtract the smaller number from the larger number. For example, IX → X - I → 10 - 1 = 9.
Rule 4: Limitation Rule
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, and for 8, we write VIII, not IIIIIIII.
Let’s now learn how to write 115 in Roman Numerals. Follow these methods to write the number in Roman Numerals.
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 115 in Roman numerals using the expansion method.
To write 115 in Roman Numerals, follow the steps:
Step 1: Break the number based on the place value: ones, tens, hundreds, etc.
For 115, we write it as 100 + 10 + 5.
Step 2: Convert the numbers into Roman Numerals.
- 100 in Roman Numerals — C
- 10 in Roman Numerals — X
- 5 in Roman Numerals — V
Step 3: Combine the Roman Numerals together.
Therefore, 115 in Roman Numerals is C (100) + X (10) + V (5) = CXV.
When writing a large number in Roman Numerals, we group the number.
To write 115 in Roman Numerals, we group 115 as 100 + 10 + 5.
- 100 in Roman Numerals — C
- 10 in Roman Numerals — X
- 5 in Roman Numerals — V
So, 115 is written as CXV in Roman Numerals.
A historian discovered CLV artifacts and needs to distribute them equally among V museum exhibits. How many artifacts will each exhibit receive?
An architect is designing a column that will be divided into sections of equal height. If the total height of the column is CXV feet and it is divided into V sections, what is the height of each section?
A collector has a total of CXV vintage stamps and decides to split them equally among his X friends. How many stamps will each friend receive?
A marathon runner tracks her distance over several days, running a total of CXV kilometers. If she runs the same distance each day for V days, how far does she run each day?
Write the Roman Numeral for 115 + 46 using the expansion 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.