Last updated on May 26th, 2025
Roman numerals are a system of expressing numbers using specific symbols. The symbols used are I, V, X, L, C, D, and M. Roman numerals are often used in contexts like royal titles, book chapters, and sequences. This article will discuss Roman numerals, their rules, and provide examples.
Royal titles such as Henry I or Henry II often use Roman numerals. You may have noticed these symbols (I, II) and wondered what they represent.
These are Roman numerals. In ancient times, people used fingers, sticks, bones, etc., for counting. As life became more complex, a standard form was needed. The ancient Romans developed the Roman numeral system. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used for counting.
In Roman numerals, we use CLXIII to represent 163, where C is 100, LX is 60, and III is 3. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules to write numbers in Roman numerals. In this section, we’ll discuss some basic rules that need to be remembered.
In Roman numerals, if a smaller numeral is placed after a larger one, you add them. For example, CLXIII → C + LX + III → 100 + 60 + 3 = 163.
Certain Roman numerals can be repeated up to three times to represent a number. For example, III → 3.
If a smaller numeral precedes a larger numeral, the smaller is subtracted from the larger. For example, IX → X - I → 10 - 1 = 9.
Symbols cannot be repeated more than three times, and certain symbols like V, L, and D cannot be repeated. For example, we write VIII for 8, not IIIIIIII.
Let’s now learn how to write 163 in Roman numerals. Follow these methods:
In the expansion method, the number is broken down based on place value. Here's how to write 163 in Roman numerals using this method:
Step 1: Break down the number based on place value: hundreds, tens, and ones.
163 = 100 + 60 + 3
Step 2: Convert each part to Roman numerals:
- 100 in Roman Numerals is C.
- 60 in Roman Numerals is LX.
- 3 in Roman Numerals is III.
Step 3: Combine them:
Therefore, 163 in Roman numerals is C (100) + LX (60) + III (3) = CLXIII.
When writing a large number in Roman numerals, we can group them. For 163, we group as 100 + 60 + 3.
100 in Roman Numerals is C.
60 in Roman Numerals is LX.
3 in Roman Numerals is III.
So, 163 is written as CLXIII in Roman numerals.
Students often make mistakes when writing Roman numerals. Understanding common errors can help avoid them.
If a historian finds a chest containing CLXIII ancient coins and decides to distribute them equally among XIII fellow historians, how many coins will each historian receive?
Each historian will receive XIII coins.
To find the number of coins each historian receives, we divide the total number of coins by the number of historians.
That is CLXIII / XIII.
CLXIII = 163
XIII = 13
Therefore, CLXIII / XIII = 163 / 13 = 13.
13 in Roman numerals is XIII.
A collector has a combined total of CLXIII Roman artifacts from two separate collections. If one collection contains LXX items, how many items are in the second collection?
The second collection contains XCIII items.
To find the number of items in the second collection, we subtract the items in the first collection from the total.
CLXIII = 163
LXX = 70
163 - 70 = 93
93 in Roman numerals is XCIII.
Calculate the sum of XLV and CXVIII in Roman numerals.
The sum of XLV and CXVIII is CLXIII.
Sum is the result of adding two numbers.
XLV = 45
CXVIII = 118
45 + 118 = 163
163 in Roman numerals is CLXIII.
A scholar receives a grant of CLXIII denarii. After purchasing books worth LXXX denarii, how many denarii does the scholar have left?
The scholar has LXXXIII denarii left.
The difference is found by subtracting the amount spent from the total grant.
CLXIII = 163
LXXX = 80
163 - 80 = 83
83 in Roman numerals is LXXXIII.
Write the Roman numeral for the result of 100 + 63 using the expansion method.
The Roman numeral for 100 + 63 is CLXIII.
First, convert the numbers 100 and 63 into Roman numerals.
100 - C
63 - LXIII
Add the numbers together: 100 + 63 = 163
Using expansion: 163 = 100 + 60 + 3 = C + LX + III = CLXIII.
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.