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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 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 used to count.
In Roman Numerals, we use CCLXIV to represent 264. Here, C is 100, L is 50, X is 10, and IV is 4. 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, LX → L + X → 50 + 10 = 60.
Rule 2: Repetition Method
To write a large number, certain Roman Numerals can be repeated three times. For example, CCC → 300.
Rule 3: Subtraction Method
If a small number precedes a large number in Roman Numerals, we subtract the smaller number from the large number. For example, IV → V - I → 5 - 1 = 4.
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, and for 8, we write VIII, not IIIIIIII.
Let’s now learn how to write 264 in Roman Numerals. Follow these methods to write the number in Roman Numerals.
In the expansion method, based on place value, the number is broken down. In this section, we will learn how to write 264 in Roman numerals using the expansion method.
To write 264 in Roman Numerals, follow the steps:
Step 1: Break the number based on place value. Place values are ones, tens, hundreds, etc.
For 264, we write it as 200 + 60 + 4.
Step 2: Converting the numbers into Roman Numerals:
- 200 in Roman Numerals — CC
- 60 in Roman Numerals — LX
- 4 in Roman Numerals — IV
Step 3: Combine the Roman Numerals together.
Therefore, 264 in Roman Numerals is CC (200) + LX (60) + IV (4) = CCLXIV.
When writing a large number into Roman Numerals, we group the numbers. To write 264 in Roman Numerals, we group 264 as 200 + 60 + 4:
- 200 in Roman Numerals — CC
- 60 in Roman Numerals — LX
- 4 in Roman Numerals — IV
So, 264 is written as CCLXIV in Roman Numerals.
Students 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 is examining CCCLXIV ancient artifacts. If each artifact weighs II pounds, calculate the total weight of the artifacts in pounds.
The total weight of the artifacts is DCCXXVIII pounds.
The number of artifacts is CCCLXIV, which is 364 in decimal. Each artifact weighs II pounds, which is 2 pounds. The total weight is calculated by multiplying the number of artifacts by the weight per artifact:
CCCLXIV × II = 364 × 2 = 728.
In Roman numerals, 728 is written as DCCXXVIII.
A collector has gathered a collection of CCLXIV coins and wants to distribute them equally into VIII boxes. How many coins will each box contain?
Each box will contain XXXIII coins.
To find the number of coins per box, divide the total number of coins by the number of boxes:
CCLXIV ÷ VIII = 264 ÷ 8 = 33.
In Roman numerals, 33 is written as XXXIII.
Calculate the sum of CCLXIV and XLII.
The sum of CCLXIV and XLII is CCCVI.
Sum is the result of adding two numbers.
CCLXIV = 264
XLII = 42
264 + 42 = 306
306 in Roman numerals is CCCVI.
Thus, the sum of CCLXIV and XLII is CCCVI
Find the difference between CCC and CCLXIV.
The difference between CCC and CCLXIV is XXXVI.
The difference of two numbers is found by subtracting one number from the other.
CCC = 300
CCLXIV = 264
300 - 264 = 36
In Roman numerals, 36 is written as XXXVI.
Convert the product of XIII and XXII to Roman numerals.
The product of XIII and XXII is CCLXVI.
First, convert the numbers into decimals and multiply them:
XIII = 13
XXII = 22
13 × 22 = 286
286 in Roman numerals is CCLXVI.
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.