Last updated on May 26th, 2025
Roman numerals are the 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 earlier. 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 CMLXXV to represent 975, where CM is 900, L is 50, X is 10, and V is 5.
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, then it is the addition method. For example, LXXV → L + X + X + V → 50 + 10 + 10 + 5 = 75
To write a large number, there are certain Roman Numerals that can be repeated three times. XXX → 30.
If a small number is followed by a large number in Roman Numerals we subtract the smaller number from the larger number, it is a subtraction method. For example, CM → M - C → 1000 - 100 = 900
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 975 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 975 in Roman numerals using the expansion method. To write 975 in Roman Numerals, follow the steps,
Step 1: The number is broken based on the place value. Place value that is ones, tens, hundreds, etc. For 975, we write it as 900 + 70 + 5
Step 2: Converting the number into Roman Numerals
Step 3: Combining the Roman Numerals together. Therefore, 975 in Roman Numerals is CM (900) + LXX (70) + V (5) = CMLXXV
When writing a large number into Roman Numerals we group the number. To write 975 in Roman Numerals, we group 975 as 900 + 70 + 5
So, 975 is written as CMLXXV 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.
A historian discovers DCCCLXXV ancient coins in a chest and wants to distribute them equally among XXV museums. How many coins will each museum get?
Each museum will get XXXV coins.
To find the number of coins each museum gets, divide the total number of coins by the number of museums. DCCCLXXV = 875 XXV = 25 Therefore, 875 / 25 = 35. 35 in Roman numerals can be written as XXXV.
Calculate the total distance a marathon runner covers if they run XC miles every day for X days.
The total distance covered by the runner is CMXC miles.
To find the total distance, multiply the daily distance by the number of days.
XC = 90
X = 10
90 × 10 = 900
900 in Roman numerals is CM. Therefore, the total distance is CMXC miles.
A collector has a set of rare stamps, with each stamp valued at CLXV. If he sells six of these stamps, what is the total value in Roman numerals?
The total value is CMXC.
To find the total value, multiply the value of one stamp by the number of stamps sold.
CLXV = 165
165 × 6 = 990
990 in Roman numerals is CMXC.
What is the sum of CDXC and CDLXXXV in Roman numerals?
The sum of CDXC and CDLXXXV is CMLXXV.
Sum is the result of adding two numbers.
CDXC = 490
CDLXXXV = 485
490 + 485 = 975
975 in Roman numerals is CMLXXV.
If a library receives DCCCXLV new books, and it already had CXXX books, how many books does it have now in Roman numerals?
The library now has CMLXXV books.
To find the total number of books, add the new books to the existing books.
DCCCXLV = 845
CXXX = 130
845 + 130 = 975
975 in Roman numerals is CMLXXV.
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.