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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 are the symbols we use. Roman Numerals are used in royal titles, book names, sequences, and more. Here we will discuss Roman Numerals, rules, and examples.
Royal titles, such as Henry I, Henry II, and so on, use Roman Numerals. Have you ever wondered what these symbols represent? Those are the Roman Numerals.
In ancient times, people used fingers, sticks, and bones to count. As life became more complex, a standard counting system was needed. Ancient Romans developed the Roman Numeral system. The symbols used are I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).
In Roman Numerals, we represent 658 as DCLVIII, where D is 500, C is 100, L is 50, V is 5, and III is 3. 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.
The addition method is used when the smaller number is placed after the larger number. For example, VIII → V + III → 5 + 3 = 8.
Certain Roman Numerals can be repeated up to three times to create larger numbers. III → 3.
If a small number precedes a large number in Roman Numerals, you subtract the smaller number from the larger one. 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 but use X, and for 8, we write VIII, not IIIIIIII.
Let’s now learn how to write 658 in Roman Numerals. Follow these methods to write the number in Roman Numerals.
In the expansion method, the number is broken down based on place value. In this section, we will learn how to write 658 in Roman numerals using the expansion method. To write 658 in Roman Numerals, follow these steps:
Step 1: Break the number based on place value. The place values are ones, tens, hundreds, etc. For 658, we write it as 500 + 100 + 50 + 8.
Step 2: Convert the numbers into Roman Numerals.
Step 3: Combine the Roman Numerals together. Therefore, 658 in Roman Numerals is D (500) + C (100) + L (50) + VIII (8) = DCLVIII.
When writing a large number into Roman Numerals, we group the number. To write 658 in Roman Numerals, group 658 as 500 + 100 + 50 + 8.
So, 658 is written as DCLVIII in Roman Numerals.
Students often make mistakes when writing numbers in Roman Numerals. To master Roman Numerals, we can learn a few common mistakes and the ways to avoid them.
A historian discovers DCLVIII ancient coins and wants to divide them equally among VIII museums. How many coins does each museum receive?
Each museum receives LXXXII coins.
To find the number of coins each museum receives, divide the total coins by the number of museums.
DCLVIII = 658
VIII = 8
658 ÷ 8 = 82
82 in Roman numerals is LXXXII.
A researcher is cataloging artifacts and notes that there are DCLVIII artifacts on one shelf and CCCXLII on another. How many artifacts are there in total?
There are M artifacts in total.
Sum is the result of adding two numbers.
DCLVIII = 658
CCCXLII = 342
658 + 342 = 1000
1000 in Roman numerals is M.
The sum of DCLVIII and CCCXLII is M.
A collector sells CD artifacts but originally had DCLVIII. How many artifacts does the collector have now?
The collector now has CCXLVIII artifacts.
The difference of two numbers is the value obtained when one number is subtracted from another.
DCLVIII = 658
CD = 400
658 - 400 = 258
258 in Roman numerals is CCXLVIII.
The difference between DCLVIII and CD is CCXLVIII.
Convert the year 658 AD into Roman numerals using the expansion method.
The year 658 in Roman numerals is DCLVIII.
Step 1: Break down the number 658 using the expansion method:
658 = 600 + 50 + 8
Step 2: Convert each part into Roman numerals:
600 - DC
50 - L
8 - VIII
Combine: DCLVIII
A library receives DCLVIII new books and places them in XIII sections equally. How many books are in each section?
Each section contains LI books.
Divide the total number of books by the number of sections.
DCLVIII = 658
XIII = 13
658 ÷ 13 = 51
51 in Roman numerals is LI.
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.