Last updated on May 26th, 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 be discussing Roman numerals, rules, and examples.
Royal titles, such as Henry I, Henry II, etc., use Roman numerals. Have you noticed these names and wondered what the symbols (I and II) represent? Those are Roman numerals.
In ancient times, people counted using fingers, sticks, bones, etc. As life became complex, a standard form was required for counting. Ancient Romans used the Roman numeral system. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols used for counting.
In Roman numerals, we use DCLVI to represent 656, where D is 500, C is 100, L is 50, V is 5, and I is 1. 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, VI → V + I → 5 + 1 = 6.
To write a large number, certain Roman numerals can be repeated up to three times. III → 3.
If a small number precedes a large number, it is subtracted. For example, IV → V - I → 5 - 1 = 4.
Symbols cannot be repeated more than three times, and symbols like V, L, and D cannot be repeated. For example, we use X instead of VV for 10, and VIII instead of IIIIIIII for 8.
Let’s now learn how to write 656 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 656 in Roman numerals using the expansion method. To write 656 in Roman numerals, follow these steps:
Step 1: Break the number based on place value: hundreds, tens, and ones. For 656, we write it as 600 + 50 + 6.
Step 2: Convert each number into Roman numerals:
Step 3: Combine the Roman numerals together: Therefore, 656 in Roman numerals is DC (600) + L (50) + VI (6) = DCLVI.
When writing a large number in Roman numerals, we group the numbers. To write 656 in Roman numerals, we group 656 as 600 + 50 + 6:
So, 656 is written as DCLVI in Roman numerals.
Students often make mistakes when writing numbers in Roman numerals. To master Roman numerals, learn a few common mistakes and ways to avoid them.
Calculate the total cost if each item costs DCLVI units and you buy three of them.
The total cost is MCMXLVIII units.
The cost of one item is DCLVI, which is 656 in decimal form.
If you buy three items, the total cost is 3 × 656 = 1968.
In Roman numerals, 1968 is written as MCMXLVIII.
A historian has DCCCLXVI artifacts and wants to distribute them equally into DCLVI boxes. How many artifacts will each box contain?
Each box will contain I artifact.
To determine the number of artifacts per box, divide the total artifacts by the number of boxes:
DCCCLXVI = 866
DCLVI = 656
866 / 656 = 1 (with a remainder)
Thus, each box will contain 1 artifact. In Roman numerals, 1 is I.
Find the sum of CDLX and DCLVI.
The sum of CDLX and DCLVI is MCXVI.
Sum is the result of adding two numbers.
CDLX = 460
DCLVI = 656
460 + 656 = 1116
1116 in Roman numerals is MCXVI.
The sum of CDLX and DCLVI is MCXVI.
What is the difference between DCLVI and CCCLIV?
The difference between DCLVI and CCCLIV is CCCII.
The difference of two numbers is found by subtracting one from the other.
DCLVI = 656
CCCLIV = 354
656 - 354 = 302
302 in Roman numerals can be written as CCCII.
The difference is CCCII.
Convert the sum of 300 and 356 into Roman numerals using the expansion method.
The Roman numeral for 300 + 356 is DCLVI.
Step 1: Convert the numbers 300 and 356 into Roman numerals.
300 = CCC
356 = CCCLVI
Add the numbers together:
300 + 356 = 656
Using the expansion method:
656 = 600 + 50 + 6 = DCLVI.
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.