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 so on. Here we will be discussing Roman numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman numerals.
Earlier people used to count using fingers, sticks, bones, etc. to count. When life became complex, a standard form was required to count. Ancient Romans used the Roman numeral system to count. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols we use to count.
In Roman numerals, we use DCCLXI to represent 761, where D is 500, C is 100, L is 50, X is 10, 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, DCCLXI → D + C + C + L + X + I → 500 + 100 + 100 + 50 + 10 + 1 = 761
To write a large number, certain Roman numerals can be repeated up to three times. For example, CCC → 300.
If a small number precedes a large number in Roman numerals, we subtract the smaller number from the large 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 won't write LL for 100; instead, we use C.
Let’s now learn how to write 761 in Roman numerals. Follow these methods to write the number in Roman numerals.
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 761 in Roman numerals using the expansion method. To write 761 in Roman numerals, follow the steps:
Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc. For 761, we write it as 700 + 60 + 1
Step 2: Convert the number into Roman numerals
Step 3: Combine the Roman numerals together. Therefore, 761 in Roman numerals is DCC (700) + LX (60) + I (1) = DCCLXI
When writing a large number into Roman numerals, we group the number. To write 761 in Roman numerals, we group 761 as 700 + 60 + 1
So, 761 is written as DCCLXI in Roman numerals.
Students make mistakes when writing a number in Roman numerals. To master Roman numerals, we can learn a few common mistakes and the ways to avoid them.
If a historian finds DCCLXI ancient coins and decides to display them equally in LXXXI cases, how many coins will each case contain?
Each case will contain IX coins.
To find the number of coins per case, divide the total number of coins by the number of cases.
DCCLXI = 761
LXXXI = 81
761 ÷ 81 = 9
9 in Roman numerals is IX.
A museum has a collection of DCCLXI artifacts and plans to add CCXL more. What will be the total count of artifacts in Roman numerals?
The total count of artifacts will be in M and I.
To find the total count, add the two numbers together.
DCCLXI = 761
CCXL = 240
761 + 240 = 1001
1001 in Roman numerals is MI.
A scholar translates a document stating that a fleet of ships numbered DCCLXI and another fleet numbered CLXVI. What is the combined total of ships in Roman numerals?
The combined total of ships is CMXXVII.
Add the two numbers together to find the total.
DCCLXI = 761
CLXVI = 166
761 + 166 = 927
927 in Roman numerals is CMXXVII.
An archaeologist discovers a site with a difference in artifact counts of DCCLXI and CDX. What is the numerical difference in Roman numerals?
The difference is CCCLI.
Subtract the smaller number from the larger number.
DCCLXI = 761
CDX = 410
761 - 410 = 351
351 in Roman numerals is CCCLI.
Write the Roman Numeral for the sum of 761 and 219 using the expansion method.
The Roman numeral for the sum is CMLXXX.
Step 1: Convert the numbers into Roman numerals.
761 - DCCLXI
219 - CCXIX
Add the numbers together: 761 + 219 = 980
Using expansion method: 980 = 900 + 80 = CMLXXX
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.