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.
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 DCCL to represent 750, here D is 500, C is 100, and L is 50. 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, DCCL → D + C + C + L → 500 + 100 + 100 + 50 = 750
To write a large number, there are certain Roman Numerals that can be repeated up to three times. CCC → 300.
If a small number is followed by a large number in Roman Numerals, we subtract the smaller number from the large number. For example, XL → L - X → 50 - 10 = 40
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 750 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 750 in Roman numerals using the expansion method. To write 750 in Roman Numerals, follow the steps,
Step 1: Break the number based on the place value. Place value such as ones, tens, hundreds, etc. For 750, we write it as 500 + 100 + 100 + 50
Step 2: Convert the number into Roman Numerals
Step 3: Combine the Roman Numerals together. Therefore, 750 in Roman Numerals is D (500) + C (100) + C (100) + L (50) = DCCL
When writing a large number into Roman Numerals, we group the number. To write 750 in Roman Numerals, we group 750 as 500 + 100 + 100 + 50
So, 750 is written as DCCL 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 a set of artifacts dated as DCCL years old. How many centuries and decades does this represent?
DCCL represents 7 centuries and 5 decades.
In Roman numerals, DCCL is 750. To determine the number of centuries and decades, we divide 750 by 100 to find centuries, which gives 7 centuries, and the remainder is 50, which is 5 decades.
A museum has DCCL coins to display equally in XV exhibits. How many coins will each exhibit showcase?
Each exhibit will showcase L coins.
To determine how many coins each exhibit will showcase, divide DCCL (750) by XV (15). 7
50 / 15 = 50
50 in Roman numerals is L.
Calculate the total of CD and CCCL using Roman numerals.
The total of CD and CCCL is DCCL.
CD is 400 and CCCL is 350.
Adding these together: 400 + 350 = 750
750 in Roman numerals is DCCL.
If DCCL students are split into three groups, what is the largest number of students that can be in the smallest group without exceeding the total?
The largest number in the smallest group is CCXLIX.
To find the largest number of students in the smallest group, divide 750 by 3, which results in 250 students per group. However, if we want one group to be as large as possible without exceeding the total, we can have two groups of 250 and one group of 249, leaving us with 750 - 250 - 250 = 249. 249 in Roman numerals is CCXLIX.
Convert the sum of CCCLXXV and CCCLXXV into Roman numerals.
The sum is DCCL.
CCCLXXV is 375.
Adding CCCLXXV and CCCLXXV: 375 + 375 = 750
750 in Roman numerals is DCCL.
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.