Last updated on May 26th, 2025
Roman numerals are a way of expressing numbers using symbols. The symbols I, V, X, L, C, D, and M are used in this system. Roman numerals are found in royal titles, book names, sequences, and more. Here we will discuss Roman numerals, the rules, and examples.
Royal titles, such as Henry I, Henry II, etc., use Roman numerals. Have you noticed these symbols and wondered what they represent? Those are Roman numerals. People in ancient times used fingers, sticks, bones, etc., to count.
As life became more complex, a standard form was required for counting. Ancient Romans used the Roman numeral system for this purpose. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used.
In Roman numerals, we use CLXXXV to represent 185; here, C is 100, L is 50, XXX is 30, 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 to remember when writing numbers in Roman numerals.
Rule 1: Addition Method
The addition method is used when a smaller number is placed after a larger number. For example, CLXXXV → C + L + X + X + X + V → 100 + 50 + 10 + 10 + 10 + 5 = 185.
Rule 2: Repetition Method
To write certain larger numbers, particular Roman numerals can be repeated up to three times. For example, XXX → 30.
Rule 3: Subtraction Method
If a smaller number precedes a larger number in Roman numerals, we subtract the smaller number from the larger number. For example, IV → V - I → 5 - 1 = 4.
Rule 4: Limitation Rule
Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For instance, we don't write VV for 10; instead, we use X, and 8 is written as VIII, not IIIIIIII.
Let’s learn how to write 185 in Roman numerals. Follow these methods to write the number in Roman numerals.
In the expansion method, the number is broken down based on its place value. Here’s how to write 185 in Roman numerals using this method:
Step 1: Break the number based on the place value: hundreds, tens, and ones.
For 185, write it as 100 + 80 + 5.
Step 2: Convert each number into Roman numerals:
- 100 in Roman numerals is C.
- 80 in Roman numerals is LXXX.
- 5 in Roman numerals is V.
Step 3: Combine these Roman numerals together.
Thus, 185 in Roman numerals is C (100) + LXXX (80) + V (5) = CLXXXV.
When writing a large number in Roman numerals, we group the number. To write 185 in Roman numerals, group 185 as 100 + 80 + 5:
- 100 in Roman numerals is C.
- 80 in Roman numerals is LXXX.
- 5 in Roman numerals is V.
So, 185 is written as CLXXXV in Roman numerals.
Students often make mistakes when writing numbers in Roman numerals. To master Roman numerals, learn about some common mistakes and ways to avoid them.
A historian is organizing CLXXXV ancient coins into V boxes. How many coins will each box contain?
Each box will contain XXXVII coins.
To find out how many coins each box will contain, divide the total number of coins by the number of boxes.
CLXXXV = 185
V = 5
185 / 5 = 37
37 in Roman numerals can be written as XXXVII.
A library has acquired a collection of CLXXXV books. If each shelf can hold XXV books, how many full shelves will there be?
There will be VII full shelves.
To determine the number of full shelves, divide the total number of books by the capacity of each shelf.
CLXXXV = 185
XXV = 25
185 / 25 = 7
7 in Roman numerals can be written as VII.
Calculate the sum of LXXX and CV.
The sum of LXXX and CV is CLXV.
To find the sum, add the two numbers.
LXXX = 80
CV = 105
80 + 105 = 185
185 in Roman numerals is CLXXXV.
A painter wants to distribute CLXXXV paintbrushes evenly among XV artists. How many paintbrushes will each artist receive?
Each artist will receive XII paintbrushes.
To find out how many paintbrushes each artist will receive, divide the total number of paintbrushes by the number of artists.
CLXXXV = 185
XV = 15
185 / 15 = 12
12 in Roman numerals can be written as XII.
Write the Roman numeral for the result of 185 - 100 using the subtraction method.
The Roman numeral for 185 - 100 is LXXXV.
First, convert the numbers to Roman numerals:
185 = CLXXXV
100 = C
Subtract the numbers:
185 - 100 = 85
85 in Roman numerals is LXXXV.
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.