Last updated on May 26th, 2025
Roman numerals are a way of expressing numbers using symbols. I, V, X, L, C, D, and M are the symbols we use. Roman numerals are used in royal titles, book names, sequences, and so on. Here we will be discussing Roman numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on, use Roman numerals. Have you noticed the names and wondered what these symbols (I and II) represented? Those are Roman numerals. Earlier people used to count using fingers, sticks, bones, etc. When life became complex, a standard form was required to count. Ancient Romans used the Roman numeral system to count. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols we use to count.
In Roman numerals, we use CXCV to represent 195, where C is 100, XC is 90, and V is 5. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules to write 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 the smaller number is placed after the larger number, then it is the addition method. For example, VI → V + I → 5 + 1 = 6
Rule 2: Repetition Method
To write a large number, there are certain Roman numerals that can be repeated three times. III → 3.
Rule 3: Subtraction Method
If a small number is followed by a large number in Roman numerals, we subtract the smaller number from the large number. It is a subtraction method. For example, IX → X - I → 10 - 1 = 9
Rule 4: Limitation Rule
The 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 8 we write as VIII, not IIIIIIII.
Let’s now learn how to write 195 in Roman numerals. Follow these methods to write the number in Roman numerals.
By Expansion Method
By Grouping Method
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 195 in Roman numerals using the expansion method.
To write 195 in Roman numerals, follow these steps:
Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc.
For 195, we write it as 100 + 90 + 5
Step 2: Convert the number into Roman numerals:
100 in Roman numeral — C
90 in Roman numeral — XC
5 in Roman numeral — V
Step 3: Combine them into Roman numerals together.
Therefore, 195 in Roman numeral is C (100) + XC (90) + V (5) = CXCV
When writing a large number into Roman numerals, we group the number. To write 195 in Roman numerals, we group 195 as 100 + 90 + 5
100 in Roman numeral — C
90 in Roman numeral — XC
5 in Roman numeral — V
So, 195 is written as CXCV in Roman numerals.
Students make mistakes when writing a number in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.
Find the sum of CXCV and XLV.
The sum of CXCV and XLV is CCXL.
CXCV = 195
XLV = 45
195 + 45 = 240
240 in Roman Numerals is CCXL.
A historian is cataloging a collection of CXXXV artifacts and wants to distribute them evenly among XV museums. How many artifacts does each museum receive?
Each museum receives IX artifacts.
To determine the number of artifacts per museum, divide the total number of artifacts by the number of museums.
CXXXV = 135
XV = 15
135 / 15 = 9
9 in Roman Numerals is IX.
Find the product of XIII and XV.
The product of XIII and XV is CXCV.
XIII = 13
XV = 15
The product of XIII and XV is 13 × 15 = 195.
195 in Roman Numerals is CXCV.
What is the difference between CC and V?
The difference between CC and V is CXCV.
To find the difference, subtract the second number from the first.
CC = 200
V = 5
200 - 5 = 195
195 in Roman Numerals is CXCV.
Write the Roman Numeral for 140 + 55 using the expansion method.
The Roman numeral for 140 + 55 is CXCV.
Step 1: Convert the numbers 140 and 55 into Roman numerals.
140 = CXL
55 = LV
Add the numbers together: 140 + 55 = 195
Using the expansion method: 195 = 100 + 90 + 5 = CXCV.
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.