Last updated on May 26th, 2025
Roman numerals are a system of expressing numbers using specific symbols. The symbols we use are I, V, X, L, C, D, and M. Roman numerals are commonly found in royal titles, book names, sequences, and more. Here, we will discuss Roman numerals, the rules for using them, and examples.
Royal titles like Henry I, Henry II, and so on are often seen with Roman numerals. These symbols (I and II) represent numbers. In ancient times, people counted using fingers, sticks, bones, etc.
As life became more complex, a standard form of counting was needed, and 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 to count.
In Roman numerals, we use CLXXIII to represent 173, where C is 100, L is 50, XX is 20, and III is 3. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules for writing numbers in Roman numerals. In this section, let’s discuss some basic rules that need to be remembered when writing numbers in Roman numerals.
Rule 1: Addition Method
The addition method is used when a smaller number is placed after a larger number. For example, CLXXIII → C + L + X + X + I + I + I → 100 + 50 + 10 + 10 + 1 + 1 + 1 = 173.
Rule 2: Repetition Method
To write larger numbers, certain Roman numerals can be repeated up to three times. For instance, III → 3.
Rule 3: Subtraction Method
If a smaller number is placed before a larger number, the smaller number is subtracted from the larger one. For example, IX → X - I → 10 - 1 = 9.
Rule 4: Limitation Rule
Symbols cannot be repeated more than three times, and symbols like V, L, and D cannot be repeated. For example, 10 is written as X, not VV, and 8 is written as VIII, not IIIIIIII.
Let’s now learn how to write 173 in Roman numerals. Follow these methods to write the number in Roman numerals.
In the expansion method, numbers are broken down based on place value. Here, we'll learn how to write 173 in Roman numerals using the expansion method.
To write 173 in Roman numerals, follow these steps:
Step 1: Break down the number based on place value: hundreds, tens, and ones.
For 173, we write it as 100 + 50 + 20 + 3
Step 2: Convert each part into Roman numerals:
100 in Roman numerals is C
50 in Roman numerals is L
20 in Roman numerals is XX
3 in Roman numerals is III
Step 3: Combine the Roman numerals:
Therefore, 173 in Roman numerals is C (100) + L (50) + XX (20) + III (3) = CLXXIII
When writing a large number in Roman numerals, we group the number.
To write 173 in Roman numerals, we group it as 100 + 50 + 20 + 3:
100 in Roman numerals is C
50 in Roman numerals is L
20 in Roman numerals is XX
3 in Roman numerals is III
So, 173 is written as CLXXIII in Roman numerals.
Students can make mistakes when writing numbers in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.
A historian needs to categorize CLXXIII ancient artifacts into XIII groups. Determine how many artifacts will be in each group.
Each group will have XIII artifacts.
To find the number of artifacts in each group, divide the total number of artifacts by the number of groups.
CLXXIII = 173
XIII = 13
173 / 13 = 13
13 in Roman numerals is XIII.
Calculate the sum of XCVII and LXXVI.
The sum of XCVII and LXXVI is CLXXIII.
The sum is the result of adding two numbers.
XCVII = 97
LXXVI = 76
97 + 76 = 173
173 in Roman Numerals is CLXXIII.
A mural has a total of CCCXLVI tiles, and the artist wants to divide these equally into II sections. How many tiles will each section contain?
Each section will contain CLXXIII tiles.
To find the number of tiles per section, divide the total number of tiles by the number of sections.
CCCXLVI = 346
II = 2
346 / 2 = 173
173 in Roman numerals is CLXXIII.
If a treasure chest contains CCXLV coins, and a pirate takes out CLXXIII coins, how many coins are left?
The number of coins left is LXXII.
Subtract the number of coins taken out from the total number of coins.
CCXLV = 245
CLXXIII = 173
245 - 173 = 72
72 in Roman Numerals is LXXII.
Write the Roman Numeral for 100 + 73 using the expansion method.
The Roman numeral for 100 + 73 is CLXXIII.
Step 1: Convert the numbers 100 and 73 into Roman numerals.
100 - C
73 - LXXIII
Add the numbers together: 100 + 73 = 173
Using the expansion method: 173 = 100 + 70 + 3 = CLXXIII.
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.