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 discuss Roman Numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on, 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 CCCXLVI to represent 346, where C is 100, X is 10, L is 50, and VI is 6. 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, VI → V + I → 5 + 1 = 6.
Rule 2: Repetition Method
To write a large number, certain Roman Numerals can be repeated three times. For example, CCC → 100 + 100 + 100 = 300.
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, XL → L - X → 50 - 10 = 40.
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 LL for 100; instead, we use C.
Let’s now learn how to write 346 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 346 in Roman numerals using the expansion method.
To write 346 in Roman Numerals, follow the steps:
Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc.
For 346, we write it as 300 + 40 + 6.
Step 2: Convert the numbers into Roman Numerals:
- 300 in Roman Numerals — CCC
- 40 in Roman Numerals — XL
- 6 in Roman Numerals — VI
Step 3: Combine the Roman Numerals together.
- Therefore, 346 in Roman Numerals is CCC (300) + XL (40) + VI (6) = CCCXLVI.
When writing a large number into Roman Numerals, we group the number.
To write 346 in Roman Numerals, we group 346 as 300 + 40 + 6:
- 300 in Roman Numerals — CCC
- 40 in Roman Numerals — XL
- 6 in Roman Numerals — VI
So, 346 is written as CCCXLVI in Roman Numerals
Students make mistakes when writing a number in Roman Numerals. To master Roman Numerals, we can learn a few common mistakes and ways to avoid them.
A historian is cataloging ancient artifacts and needs to label a collection with the year CCCXLVI. If each artifact is marked with a code that represents the year in Roman numerals, how many artifacts can be labeled with this year if the collection holds CCCX artifacts?
The number of artifacts that can be labeled is CCCX.
The historian has CCCX (310) artifacts and wants to label them with the year CCCXLVI (346). Since the number of artifacts (310) is less than the year (346), all CCCX artifacts can be labeled with the year CCCXLVI.
Calculate the sum of CLVII and CLXXXIX and convert the result into Roman numerals.
The sum of CLVII and CLXXXIX is CCCXLVI.
CLVII = 157
CLXXXIX = 189
The sum is 157 + 189 = 346.
346 in Roman numerals is CCCXLVI.
A collector has CCCXLVI coins, and she wants to distribute them equally into II boxes. How many coins will each box contain?
Each box will contain CLXXIII coins.
Total coins = CCCXLVI = 346
Number of boxes = II = 2
346 divided by 2 is 173.
173 in Roman numerals is CLXXIII.
Find the difference between CD and LIV, and represent it in Roman numerals.
The difference between CD and LIV is CCCXLVI.
CD = 400
LIV = 54
The difference is 400 - 54 = 346.
346 in Roman numerals is CCCXLVI.
Write the Roman Numeral for 200 + 146 using the expansion method.
The Roman numeral for 200 + 146 is CCCXLVI.
Convert the numbers into Roman numerals:
200 = CC
146 = CXLVI
Add the numbers together: 200 + 146 = 346
Using the expansion method: 346 = 300 + 40 + 6 = CCCXLVI.
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.