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Last updated on February 24th, 2025
Roman numerals are a system of expressing numbers using symbols. The symbols I, V, X, L, C, D, and M are used in this numeral system. Roman numerals are often found in royal titles, book names, sequences, and more. Here we will discuss Roman numerals, their rules, and examples.
You might have noticed Roman numerals in royal titles, such as Henry I, Henry II, etc. These numerals are used in various historical and modern applications. Ancient Romans developed this numeral system to simplify counting as life became more complex. The symbols include I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).
In Roman numerals, 274 is represented as CCLXXIV, where 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 numbers in Roman numerals. Let’s discuss some rules that need to be remembered when writing numbers in this system.
Rule 1: Addition Method
The addition method is used when a smaller numeral is placed after a larger numeral. For example, XI → X + I → 10 + 1 = 11.
Rule 2: Repetition Method
Some Roman numerals can be repeated up to three times to represent larger values. For example, XXX → 30.
Rule 3: Subtraction Method
If a smaller numeral precedes a larger numeral, you subtract the smaller from the larger. For example, IV → V - I → 5 - 1 = 4.
Rule 4: Limitation Rule
Symbols cannot be repeated more than three times, and certain symbols like V, L, and D cannot be repeated. For example, we use X instead of VV for 10.
Let’s learn how to write 274 in Roman numerals using different methods.
In the expansion method, a number is broken down based on place value. Let's write 274 in Roman numerals using this method.
Step 1: Break the number based on place value: 200 + 70 + 4.
Step 2: Convert each number into Roman numerals:
- 200 in Roman numerals is CC.
- 70 in Roman numerals is LXX.
- 4 in Roman numerals is IV.
Step 3: Combine them: Therefore, 274 in Roman numerals is CC (200) + LXX (70) + IV (4) = CCLXXIV.
When writing a large number in Roman numerals, we group the numbers. To write 274 in Roman numerals, we group it as:
- 200 as CC
- 70 as LXX
- 4 as IV
Therefore, 274 is written as CCLXXIV in Roman numerals.
A historian discovers 274 ancient Roman coins and wants to distribute them evenly among XIII museums. How many coins will each museum receive?
A collector has a total of CCLXXIV vintage items. If he decides to add another XLVI items to his collection, what will be the new total in Roman numerals?
A library has CCLXXIV books and plans to remove XXXIX damaged books. What is the remaining number of books in Roman numerals after the removal?
Convert the sum of XCIII and CLXXXI into Roman numerals.
Write the Roman Numeral for 274 using the expansion method.
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.