Last updated on May 26th, 2025
Roman numerals are a way of expressing numbers using symbols such as I, V, X, L, C, D, and M. They are used in various contexts, including royal titles, book names, and sequences. Here, we will discuss Roman numerals, their rules, and examples.
Royal titles such as Henry I, Henry II, and so on, often use Roman numerals. Have you ever wondered what these symbols (I and II) represent? They are Roman numerals.
In ancient times, people used fingers, sticks, or bones to count. As life became more complex, a standard form was needed for counting, leading to the Roman numeral system. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) were used.
In Roman numerals, we represent 650 as DCL, where D is 500, C is 100, and L is 50. Let’s learn more about Roman numerals and how to write them.
Certain basic rules help in writing numbers in Roman numerals. In this section, let’s discuss some fundamental rules to remember when writing a number in Roman numerals.
The addition method is used when a smaller number is placed after a larger number. For example, DCL → D + C + L → 500 + 100 + 50 = 650.
To write larger numbers, some Roman numerals can be repeated up to three times. For example, CCC → 300.
If a smaller number precedes a larger number in Roman numerals, we subtract the smaller number from the larger one. For example, IV → V - I → 5 - 1 = 4.
Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we don't write DDD for 1500; instead, we use M as 1000 + D as 500.
Let’s now learn how to write 650 in Roman numerals. Follow these methods to write the number in Roman numerals:
In the expansion method, numbers are broken down based on place value. In this section, we will learn how to write 650 in Roman numerals using the expansion method. To write 650 in Roman numerals, follow these steps:
Step 1: Break the number based on place value, such as ones, tens, hundreds, etc. For 650, we write it as 500 + 100 + 50.
Step 2: Convert each part into Roman numerals: 500 in Roman numerals - D 100 in Roman numerals - C 50 in Roman numerals - L
Step 3: Combine these Roman numerals together. Therefore, 650 in Roman numerals is D (500) + C (100) + L (50) = DCL.
When writing a large number in Roman numerals, we group the numbers. To write 650 in Roman numerals, we group 650 as 500 + 100 + 50.
So, 650 is written as DCL 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 how to avoid them.
A historian finds an ancient scroll that mentions a legion of soldiers totaling DCL. If each cohort consists of C soldiers, how many cohorts are there?
There are VI cohorts.
To find the number of cohorts, divide the total number of soldiers by the number in each cohort.
DCL = 650
C = 100
650 / 100 = 6.5
Since a cohort cannot be a fraction, the historian concludes there are VI complete cohorts.
An archaeologist discovers a series of rings, each marked with a different Roman numeral. The first ring is marked with CCC, and the second with CCCL. What is the combined value of these rings in Roman numerals?
The combined value of the rings is DCL.
The first ring is CCC, which is 300, and the second ring is CCCL,
which is 350.
300 + 350 = 650
650 in Roman numerals is DCL.
A scholar is translating a document that frequently uses Roman numerals. She encounters a calculation showing DCL minus CCCXXV. What is the result in Roman numerals?
The result is CCCXXV.
To find the result, subtract CCCXXV from DCL.
DCL = 650
CCCXXV = 325
650 - 325 = 325
325 in Roman numerals is CCCXXV.
In a math contest, participants are asked to express the year 650 in terms of Roman numerals and find its square root. What is the Roman numeral for the square root of DCL?
The Roman numeral for the square root of DCL is XXV.
First, find the square root of 650.
The square root of 650 is approximately 25.
495, which rounds down to 25 when expressed as a whole number.
25 in Roman numerals is XXV.
A mosaic artist is designing a piece that incorporates Roman numerals. She has room for a numeral representing half of DCL. What Roman numeral should she use?
She should use CCCXXV.
To find half of DCL, divide 650 by 2.
650 / 2 = 325
325 in Roman numerals is CCCXXV.
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.