Last updated on May 26th, 2025
Roman numerals are a system of expressing numbers using specific symbols. I, V, X, L, C, D, and M are the symbols we use. Roman Numerals are used in various contexts such as royal titles, book names, and sequences. Here we will discuss Roman Numerals, rules, and examples.
In royal titles like Henry VIII or Louis XIV, Roman Numerals are used to denote the order. Have you ever wondered what these symbols represent? They are Roman Numerals, a system used by ancient Romans for counting.
The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) form this numeric system. In Roman Numerals, 874 is represented as DCCCLXXIV, where D is 500, CCC is 300, LXX is 70, and IV is 4. Let’s learn more about Roman numerals and how we write them.
There are fundamental rules for writing numbers in Roman Numerals. In this section, we will discuss some basic rules to remember when writing numbers in Roman numerals.
The addition method applies when smaller numbers are placed after larger numbers. For example, DCCCLXXIV → D + CCC + L + XX + IV → 500 + 300 + 50 + 20 + 4 = 874
Certain Roman Numerals can be repeated up to three times to form larger numbers. For instance, CCC → 300.
If a smaller numeral precedes a larger numeral, subtract the smaller from the larger. For example, IV → V - I → 5 - 1 = 4
Symbols cannot be repeated more than three times. Symbols like V, L, and D cannot be repeated. For instance, we write 10 as X, not VV.
Let’s learn how to write 874 in Roman Numerals. Follow these methods to express the number in Roman Numerals.
In the expansion method, the number is broken down based on place value. Here, we will learn how to write 874 in Roman numerals using this method. To write 874 in Roman Numerals, follow these steps:
Step 1: Break down the number based on place value: hundreds, tens, and ones. For 874, we write it as 800 + 70 + 4
Step 2: Convert each part into Roman Numerals
Step 3: Combine the Roman Numerals. Therefore, 874 in Roman Numerals is DCCC (800) + LXX (70) + IV (4) = DCCCLXXIV
When writing a large number into Roman Numerals, we group the numbers. To write 874 in Roman Numerals, we group 874 as 800 + 70 + 4
So, 874 is written as DCCCLXXIV 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.
A sculptor is creating a series of sculptures, each requiring DCCCLXXIV kilograms of marble. How much marble is needed for II such sculptures?
The total amount of marble needed is MDCCXLVIII kilograms.
To find the total amount of marble required, we multiply the number of sculptures by the amount of marble each requires.
DCCCLXXIV = 874
II = 2
Therefore, DCCCLXXIV × II = 874 × 2 = 1748.
1748 in Roman Numerals can be written as MDCCXLVIII.
An ancient scroll contains DCCCLXXIV pages. A historian wants to divide the scroll into XXII sections. How many pages will each section have?
Each section will have XL pages.
To find the number of pages each section will have, divide the total number of pages by the number of sections.
DCCCLXXIV = 874
XXII = 22
Therefore, DCCCLXXIV / XXII = 874 / 22 = 40.
40 in Roman numerals is XL.
Calculate the sum of DCCCLXXIV and CLXII in Roman numerals.
The sum of DCCCLXXIV and CLXII is MXXXVI.
Sum is the result of adding two numbers.
DCCCLXXIV = 874
CLXII = 162
874 + 162 = 1036
1036 in Roman Numerals is MXXXVI.
The sum of DCCCLXXIV and CLXII is MXXXVI.
A historian subtracts CCCXLV from DCCCLXXIV. What is the result in Roman numerals?
The result of the subtraction is DXXIX.
The difference is the result of subtracting one number from another.
DCCCLXXIV = 874
CCCXLV = 345
874 - 345 = 529
529 in Roman Numerals can be written as DXXIX.
Express the total of DCCCLXXIV and CXXVI using the expansion method in Roman numerals.
The total of DCCCLXXIV and CXXVI using the expansion method is M.
Step 1: Convert the numbers 874 and 126 into Roman numerals
874 - DCCCLXXIV
126 - CXXVI
Add the numbers together:
874 + 126 = 1000
Using the expansion method: 1000 = M.
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.