Last updated on May 26th, 2025
Roman numerals are a method of expressing numbers using symbols. I, V, X, L, C, D, and M are the symbols we use. Roman Numerals are employed in royal titles, book names, sequences, and more. Here we will discuss Roman Numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on, often use Roman Numerals. Have you noticed the Roman Numerals in these names and wondered what they mean? Earlier civilizations used fingers, sticks, bones, and other items to count. As life became more complex, a standard form was needed for counting. 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 for counting.
In Roman Numerals, we use CMLXVII to represent 967, where C is 100, M is 1000, L is 50, X is 10, 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 numbers in Roman Numerals. In this section, we’ll discuss some basic rules that need to be remembered when writing a number in Roman numerals.
The addition method is used when a smaller number is placed after a larger number. For example, VII → V + I + I → 5 + 1 + 1 = 7
To write larger numbers, some Roman Numerals can be repeated up to three times. For example, XXX → 30.
If a smaller number is placed before a larger number, we subtract the smaller number from the larger one. For example, IX → X - I → 10 - 1 = 9
Symbols cannot be repeated more than three times. Some symbols, like V, L, and D, cannot be repeated. For example, we write 10 as X, not VV.
Let’s now learn how to write 967 in Roman Numerals. Follow these methods to write the number in Roman Numerals.
In the expansion method, based on place value, the number is broken down. In this section, we will learn how to write 967 in Roman numerals using the expansion method.
To write 967 in Roman Numerals, follow the steps:
Step 1: Break the number based on place value: hundreds, tens, and ones. For 967, we write it as 900 + 60 + 7.
Step 2: Convert the number into Roman Numerals:
Step 3: Combine the Roman Numerals together. Therefore, 967 in Roman Numerals is CM (900) + LX (60) + VII (7) = CMLXVII
When writing a large number in Roman Numerals, we group the number. To write 967 in Roman Numerals, we group 967 as 900 + 60 + 7.
So, 967 is written as CMLXVII 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 ways to avoid them.
Calculate the sum of DLXVIII and CCCXCIX.
The sum of DLXVIII and CCCXCIX is CMLXVII.
DLXVIII is 568 and CCCXCIX is 399.
The sum is 568 + 399 = 967.
In Roman Numerals, 967 is written as CMLXVII.
A historian finds DCCXLVIII ancient coins, and he wants to give an equal number to XLV people. How many coins does each person receive?
Each person receives XVII coins.
To find the number of coins each person receives, divide the total number of coins by the number of people:
DCCXLVIII / XLV.
DCCXLVIII is 748 and XLV is 45
. Thus, 748 / 45 = 16 R18.
Each person receives 16 coins.
Since the remainder is not distributed, the complete answer is XVII coins.
What is the result of multiplying LXXXVIII by XI?
The result of multiplying LXXXVIII by XI is CMLXVIII.
LXXXVIII is 88 and XI is 11.
Multiplying 88 by 11 gives 968.
968 in Roman Numerals is CMLXVIII.
A merchant has CMXVII apples. After selling CCL apples, how many apples remain?
The merchant has DCLXVII apples remaining.
CMXVII is 917 and CCL is 250.
The difference is 917 - 250 = 667.
667 in Roman Numerals is DCLXVII.
Express 967 as a sum of Roman numerals using the expansion method.
967 can be expressed as CM + LX + VII.
967 can be expanded as 900 + 60 + 7.
In Roman Numerals, this is CM (900), LX (60), and VII (7).
Therefore, 967 is CM + LX + VII which simplifies to CMLXVII.
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.