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.
Royal titles, such as Henry I, Henry II, and so on, often use Roman numerals. Have you noticed these symbols (I and II) and wondered what they represented? Those are Roman numerals. Early people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was required for counting. Ancient Romans used the Roman numeral system for this purpose. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols used for counting.
In Roman numerals, we use DCCCII to represent 802, where D is 500, CCC is 300, and II is 2. 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, DCCCII → D + CCC + II → 500 + 300 + 2 = 802.
To write a large number, certain Roman numerals can be repeated up to three times. For example, CCC → 300 (C is repeated three times).
If a small number is placed before a larger number, we subtract the smaller from the larger. For example, IX → X - I → 10 - 1 = 9.
The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we use X instead of VV for 10 and VIII instead of IIIIIIII for 8.
Let’s now learn how to write 802 in Roman numerals. Follow these methods to write the number in Roman numerals.
In the expansion method, the number is broken down based on place value. In this section, we will learn how to write 802 in Roman numerals using the expansion method.
To write 802 in Roman numerals, follow the steps:
Step 1: Break the number based on place value: hundreds, tens, and ones. For 802, we write it as 800 + 2.
Step 2: Convert the number into Roman numerals.
Step 3: Combine the Roman numerals together. Therefore, 802 in Roman numerals is DCCC (800) + II (2) = DCCCII.
When writing a large number in Roman numerals, we group the number. To write 802 in Roman numerals, we group 802 as 800 + 2.
So, 802 is written as DCCCII in Roman numerals.
Students often make mistakes when writing a number in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.
A historian is cataloging artifacts and finds DCCCII ancient coins and divides them equally among II museum exhibitions. How many coins does each exhibition receive?
Each exhibition receives CDI coins.
To find the number of coins each exhibition receives, we divide the total number of coins by the number of exhibitions.
DCCCII = 802
II = 2
Therefore, 802 ÷ 2 = 401
401 in Roman Numerals can be written as CDI.
An architect is designing a building with DCCCII windows distributed evenly across VIII floors. How many windows are on each floor?
There are CI windows on each floor.
To find the number of windows on each floor, divide the total number of windows by the number of floors.
DCCCII = 802
VIII = 8
802 ÷ 8 = 100.25 (round down to the nearest whole number for full windows)
100 in Roman Numerals can be written as C, thus CI for 101.
A librarian has a collection of books numbered from I to DCCCII. How many books are there in total?
There are DCCCII books in total.
The collection is numbered from 1 to 802, meaning there are exactly 802 books.
802 in Roman Numerals is DCCCII.
A marathon event has DCCCII participants. If each participant receives a medal, how many medals are awarded in total?
A total of DCCCII medals are awarded.
Since each of the 802 participants receives a medal, the total number of medals awarded is the same as the number of participants.
Therefore, 802 medals are awarded.
802 in Roman Numerals is DCCCII.
Write the Roman Numeral for 500 + 302 using the expansion method.
The Roman numeral for 500 + 302 is DCCCII.
Step 1: Convert the numbers 500 and 302 into Roman numerals
500 - D
302 - CCCII
Add the numbers together using the expansion method: 500 + 302 = 802
802 in Roman Numerals is DCCCII.
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.