Table Of Contents
Last updated on February 24th, 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 more. Here we will be discussing Roman numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on. Have you noticed the names and wondered what these symbols (I and II) represented? Those are Roman numerals. Earlier, people used fingers, sticks, bones, etc., to count. When life became complex, a standard form was required. 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 CXXI to represent 121, where C is 100, X is 10, and I is 1. 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, CXXI → C + X + X + I → 100 + 10 + 10 + 1 = 121
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 for 8, we write VIII, not IIIIIIII.
Let’s now learn how to write 121 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 121 in Roman numerals using the expansion method.
To write 121 in Roman numerals, follow these steps:
Step 1: Break the number based on place value. Place values are ones, tens, hundreds, etc.
For 121, we write it as 100 + 20 + 1.
Step 2: Convert the number into Roman numerals:
100 in Roman numerals — C
20 in Roman numerals — XX
1 in Roman numerals — I
Step 3: Combine the Roman numerals together.
Therefore, 121 in Roman numerals is C (100) + XX (20) + I (1) = CXXI.
When writing a large number into Roman numerals, we group the number. To write 121 in Roman numerals, we group 121 as 100 + 20 + 1:
100 in Roman numerals — C
20 in Roman numerals — XX
1 in Roman numerals — I
So, 121 is written as CXXI in Roman numerals.
A historian finds a document indicating that the Roman Empire had CXXI provinces at its peak. Later, due to various political changes, the number of provinces was reduced by LII. How many provinces remained?
An ancient Roman amphitheater had seating for CLXIV spectators. After renovations, seating was increased by LVII. What is the new seating capacity?
A collector has a collection of CXXI Roman coins. If he divides his collection equally among XI friends, how many coins will each friend receive?
In a historical reenactment, CXXI participants are needed. If only LXX participants have arrived, how many more are needed?
An artist is creating a mosaic out of CXXI tiles. If he uses LXXXIV tiles for the border, how many tiles remain for the interior?
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.