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Last updated on February 24th, 2025
Roman numerals are a way of expressing numbers using symbols. The symbols used are 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, often use Roman numerals. Have you noticed the symbols (I and II) and wondered what they represent? Those are Roman numerals.
In ancient times, people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was required for counting. Ancient Romans used the Roman numeral system for this purpose. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols used in this system.
In Roman numerals, we use LXVIII to represent 68, where L is 50, X is 10, and VIII is 8. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules to writing a number in Roman numerals. In this section, let’s discuss some basic rules that need to be remembered.
Rule 1: Addition Method
The addition method is used when a smaller number is placed after a larger number. For example, LXVIII → L + X + V + I + I + I → 50 + 10 + 5 + 1 + 1 + 1 = 68
Rule 2: Repetition Method
To write larger numbers, certain Roman numerals can be repeated up to three times. For example, VIII → 8.
Rule 3: Subtraction Method
If a smaller number precedes a larger number in Roman numerals, we subtract the smaller number from the larger number. For example, IX → X - I → 10 - 1 = 9
Rule 4: Limitation Rule
Symbols cannot be repeated more than three times, and symbols like V, L, and D cannot be repeated. For example, we won't write VVV for 15; instead, we use XV.
Let’s learn how to write 68 in Roman numerals using different methods.
In the expansion method, based on place values, the number is broken down.
To write 68 in Roman numerals, follow these steps:
Step 1: Break down the number based on place values: tens and ones.
For 68, we write it as 50 + 10 + 8
Step 2: Convert these numbers into Roman numerals:
50 in Roman Numerals — L
10 in Roman Numerals — X
8 in Roman Numerals — VIII
Step 3: Combine the Roman numerals:
Therefore, 68 in Roman numerals is L (50) + X (10) + VIII (8) = LXVIII
When writing a large number in Roman numerals, we group the number.
To write 68 in Roman numerals, we group 68 as 50 + 10 + 8:
50 in Roman Numerals — L
10 in Roman Numerals — X
8 in Roman Numerals — VIII
So, 68 is written as LXVIII in Roman numerals.
A historian wants to distribute CCCXL ancient coins among V collectors. How many coins will each collector receive?
Calculate the sum of XLV and XXIII in Roman numerals.
A group of archaeologists found CLX relics and decided to divide them into two batches. If the first batch contains XCII relics, how many relics are in the second batch?
A scholar is studying ancient texts and finds LXVIII references to a particular event. How would this number be expressed in Roman numerals using an expanded form approach?
Find the product of XXXIV and II in Roman numerals.
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.