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.
Royal titles, such as Henry I, Henry II, and so on, often use Roman numerals. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman numerals. Earlier, people used fingers, sticks, bones, etc., to count. 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 CXXXV to represent 135, 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 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. For example, CXXXV → C + X + X + V → 100 + 10 + 10 + 5 = 135.
Rule 2: Repetition Method
To write a large number, certain Roman numerals can be repeated up to three times. For example, XXX → 30.
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. 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 is written as VIII, not IIIIIIII.
Let’s now learn how to write 135 in Roman numerals. Follow these methods to write the number in Roman numerals.
In the expansion method, based on place value, the number is broken down. In this section, we will learn how to write 135 in Roman numerals using the expansion method.
To write 135 in Roman numerals, follow these steps:
Step 1: Break the number based on place value: hundreds, tens, ones.
For 135, we write it as 100 + 30 + 5.
Step 2: Convert the numbers into Roman numerals:
100 in Roman numerals — C
30 in Roman numerals — XXX
5 in Roman numerals — V
Step 3: Combine the Roman numerals together.
Therefore, 135 in Roman numerals is C (100) + XXX (30) + V (5) = CXXXV.
When writing a large number into Roman numerals, we group the number. To write 135 in Roman numerals, we group 135 as 100 + 30 + 5.
100 in Roman numerals — C
30 in Roman numerals — XXX
5 in Roman numerals — V
So, 135 is written as CXXXV in Roman numerals.
Roman numerals follow a certain pattern, making them look similar. In this section, we will learn some numbers related to the Roman numeral 135:
Number | Roman Numeral | Breakdown |
---|---|---|
130 | CXXX | 100 + 10 + 10 + 10 = 130 |
131 | CXXXI | 100 + 10 + 10 + 10 + 1 = 131 |
132 | CXXXII | 100 + 10 + 10 + 10 + 2 = 132 |
133 | CXXXIII | 100 + 10 + 10 + 10 + 3 = 133 |
134 | CXXXIV | 100 + (10 + (5 - 1)) + 10 + 10 = 134 |
135 | CXXXV | 100 + 10 + 10 + 10 + 5 = 135 |
136 | CXXXVI | 100 + 10 + 10 + 10 + 5 + 1 = 136 |
137 | CXXXVII | 100 + 10 + 10 + 10 + 5 + 2 = 137 |
138 | CXXXVIII | 100 + 10 + 10 + 10 + 5 + 3 = 138 |
139 | CXXXIX | 100 + (10 + (10 - 1)) + 10 + 10 = 139 |
Students make mistakes when writing a number in Roman numerals. To master Roman numerals, we can learn a few common mistakes and the ways to avoid them.
A historian is studying ancient texts and comes across two chapters, each labeled in Roman numerals, CXX and XV. She wants to know the total number of pages when these chapters are combined. What is the total number of pages in Roman numerals?
The total number of pages is CXXXV.
CXX = 120
XV = 15
120 + 15 = 135
135 in Roman numerals is written as CXXXV.
An archaeologist discovers a collection of CCLXX artifacts. She decides to distribute them equally into II groups. How many artifacts are in each group in Roman numerals?
Each group will receive CXXXV artifacts.
CCLXX = 270
II = 2
270 / 2 = 135
135 in Roman numerals is CXXXV.
In an ancient puzzle, a scribe must find the sum of LXXXVIII and XLVII. What is the result in Roman numerals?
The sum of LXXXVIII and XLVII is CXXXV.
LXXXVIII = 88
XLVII = 47
88 + 47 = 135
135 in Roman numerals is CXXXV.
A medieval scholar is comparing the difference between CL and XV. What is the difference in Roman numerals?
The difference between CL and XV is CXXXV.
CL = 150
XV = 15
150 - 15 = 135
135 in Roman numerals is CXXXV.
A mathematician is working on a problem that requires expressing the number 135 using the expansion method in Roman numerals. How should she write it?
The number 135 is written as CXXXV in Roman numerals.
Step 1: Break down the number 135 into its expanded form: 100 + 30 + 5
100 in Roman numerals is C
30 in Roman numerals is XXX
5 in Roman numerals is V
Combine them to get CXXXV.
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.