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Last updated on February 24th, 2025
Roman numerals are a way of expressing numbers using symbols: I, V, X, L, C, D, and M. Roman numerals are used in royal titles, book names, sequences, and more. Here we will be discussing Roman numerals, their rules, and examples.
Royal titles, such as Henry I, Henry II, and so on, use Roman numerals. Have you noticed these symbols and wondered what they represent? Those are Roman numerals.
Ancient people counted using fingers, sticks, bones, etc. As life became more complex, a standardized system was needed. Ancient Romans developed the Roman numeral system. 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 DCXLVII to represent 647, where D is 500, C is 100, XL is 40, V is 5, and II is 2. 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 to remember when writing numbers in Roman numerals.
The addition method is used when the smaller number is placed after the larger number. For example, VII → V + II → 5 + 2 = 7
To write larger numbers, certain Roman numerals can be repeated up to three times. For example, III → 3.
If a smaller number precedes a larger number in Roman numerals, we subtract the smaller number from the larger number. For example, IV → V - I → 5 - 1 = 4
The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we don't write VV for 10; instead, we use X. Similarly, 8 is written as VIII, not IIIIIIII.
Let's learn how to write 647 in Roman numerals using different methods.
In the expansion method, the number is broken down based on place value. We will learn how to write 647 in Roman numerals using this method. To write 647 in Roman numerals, follow these steps:
Step 1: Break the number based on place value: hundreds, tens, and ones. For 647, we write it as 500 + 100 + 40 + 5 + 2.
Step 2: Convert each part into Roman numerals: 500 in Roman numerals - D 100 in Roman numerals - C 40 in Roman numerals - XL 5 in Roman numerals - V 2 in Roman numerals - II
Step 3: Combine the Roman numerals together. Therefore, 647 in Roman numerals is D (500) + C (100) + XL (40) + V (5) + II (2) = DCXLVII.
When writing a large number in Roman numerals, we group the number. To write 647 in Roman numerals, we group 647 as 500 + 100 + 40 + 5 + 2:
So, 647 is written as DCXLVII in Roman numerals.
Calculate the difference between DCCL and CDLIII.
A historian discovers DCCXLVII ancient coins and wants to distribute them equally among XLIII researchers. How many coins will each researcher receive?
A library adds CDLXXV new books to its collection, which already has CLXXII books. What is the total number of books now?
A treasure chest contains a total of MCMXXXV coins. If CCCXLVIII coins are gold, how many are not gold?
Express the sum of CDLXXI and CLXXVI in Roman Numerals 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.