Last updated on May 26th, 2025
Roman numerals are the 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, use Roman numerals. Have you noticed the names and wondered what these symbols (I and II) represent? Those are 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 CCLXII to represent 262, where C is 100, L is 50, X is 10, and II is 2. 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, CCLXII → C(100) + C(100) + L(50) + X(10) + II(2) = 262.
Rule 2: Repetition Method
To write a large number, some Roman numerals can be repeated up to three times. For example, CCC → 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, XC → X(10) - C(100) → 100 - 10 = 90.
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 262 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 262 in Roman numerals using the expansion method.
To write 262 in Roman numerals, follow the steps:
Step 1: Break the number based on place value: hundreds, tens, and ones.
For 262, we write it as 200 + 60 + 2.
Step 2: Convert the number into Roman numerals.
200 in Roman Numeral — CC
60 in Roman Numeral — LX
2 in Roman Numeral — II
Step 3: Combine the Roman numerals together.
Therefore, 262 in Roman numerals is CC(200) + LX(60) + II(2) = CCLXII.
When writing a large number into Roman numerals, we group the number.
To write 262 in Roman numerals, we group 262 as 200 + 60 + 2.
200 in Roman Numeral — CC
60 in Roman Numeral — LX
2 in Roman Numeral — II
So, 262 is written as CCLXII 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 discovered two ancient tablets marked with CXXXI and CXXXI respectively. What is the sum of the numbers on the tablets in Roman numerals?
The sum of CXXXI and CXXXI is CCLXII.
CXXXI = 131
131 + 131 = 262
262 in Roman Numerals is CCLXII. Thus, the sum of CXXXI and CXXXI is CCLXII.
A library catalog shows that there are DXXIV books distributed equally across II shelves. How many books are on each shelf?
The number of books on each shelf is CCLXII.
DXXIV = 524
II = 2
524 / 2 = 262
262 in Roman Numerals can be written as CCLXII. Therefore, each shelf has CCLXII books.
Determine the difference between CCC and XXXVIII in Roman numerals.
The difference between CCC and XXXVIII is CCLXII.
CCC = 300
XXXVIII = 38
300 - 38 = 262
262 in Roman Numerals is CCLXII. The difference between CCC and XXXVIII is CCLXII.
A collector has a total of DCCXXIV coins and decides to distribute them equally among III people. How many coins does each person receive in Roman numerals?
Each person receives CCXLI coins.
DCCXXIV = 724
III = 3
724 / 3 = 241
241 in Roman Numerals is CCXLI. Thus, each person receives CCXLI coins.
If an artifact is labeled with the sum of CL and CXII, what is the total value in Roman numerals?
The total value is CCLXII.
CL = 150
CXII = 112
150 + 112 = 262
262 in Roman Numerals is CCLXII. Therefore, the total value of CL and CXII is CCLXII.
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.