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Last updated on February 21st, 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. Have you noticed the names and wondered what these symbols (I and II) represented?
Those are the 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 CCCXI to represent 311, where CCC is 300, 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.
The addition method is used when the smaller number is placed after the larger number. For example, CCCXI → CCC + X + I → 300 + 10 + 1 = 311.
To write a large number, certain Roman Numerals can be repeated up to three times. For example, CCC → 300.
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.
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 311 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 311 in Roman numerals using the expansion method.
To write 311 in Roman Numerals, follow the steps:
Step 1: The number is broken based on place value—hundreds, tens, and ones.
For 311, we write it as 300 + 10 + 1.
Step 2: Converting the number into Roman Numerals:
300 in Roman Numeral — CCC
10 in Roman Numeral — X
1 in Roman Numeral — I
Step 3: Combining them together:
Therefore, 311 in Roman Numerals is CCC (300) + X (10) + I (1) = CCCXI.
When writing a large number into Roman Numerals, we group the number.
To write 311 in Roman Numerals, we group 311 as 300 + 10 + 1:
300 in Roman Numerals — CCC
10 in Roman Numerals — X
1 in Roman Numerals — I
So, 311 is written as CCCXI in Roman Numerals.
Convert the sum of CLV and CLVI into Roman numerals.
A library has CDXXI books and wants to allocate them equally among XX students. How many books will each student receive?
Find the difference between CDXX and CXI and express it in Roman numerals.
Calculate the product of X and XXXI in Roman numerals.
Write the Roman numeral for the sum of CL and CLXI 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.