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. These numerals are often used in royal titles, book names, sequences, and more. In this guide, we will discuss Roman numerals, the rules for writing them, and provide examples.
Have you ever wondered about the symbols used in royal titles such as Henry VIII? These symbols are Roman numerals, a system developed by ancient Romans to count and express numbers. The symbols used are I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). To express 829 in Roman numerals, we write it as DCCCXXIX. Here, D is 500, CCC is 300, XX is 20, and IX is 9.
Let’s explore more about Roman numerals and how to write them.
Writing numbers in Roman numerals follows certain basic rules. In this section, we will discuss some fundamental rules to remember when converting numbers into Roman numerals.
When a smaller numeral follows a larger numeral, the values are added. For example, VI → V + I → 5 + 1 = 6.
Certain numerals can be repeated up to three times to represent numbers. For example, III → 3, CCC → 300.
When a smaller numeral precedes a larger numeral, the smaller value is subtracted. For example, IV → V - I → 5 - 1 = 4.
No numeral can be repeated more than three times consecutively. Some numerals, like V, L, and D, cannot be repeated. For example, 20 is written as XX instead of VVVV.
Let's learn how to write 829 in Roman numerals using different methods. Two common methods are the
In the expansion method, numbers are broken down based on place value. Let’s learn how to write 829 in Roman numerals using this method.
Step 1: Break the number based on place value: hundreds, tens, and ones. For 829, we write it as 800 + 20 + 9.
Step 2: Convert each part into Roman numerals:
Step 3: Combine the Roman numerals: Therefore, 829 in Roman numerals is DCCCXXIX.
When writing large numbers in Roman numerals, we group the numbers. To write 829 in Roman numerals, we group it as 800 + 20 + 9.
So, 829 is written as DCCCXXIX in Roman numerals.
Mistakes can occur when writing numbers in Roman numerals. To master this system, we can learn from common errors and how to avoid them.
Convert the total sum of CD and CCCXXIX into Roman numerals.
The total sum of CD and CCCXXIX is DCCXXIX.
First, convert the Roman numerals to Arabic numerals: CD = 400 and CCCXXIX = 329.
The sum is 400 + 329 = 729.
In Roman numerals, 729 is written as DCCXXIX.
A historian discovers a manuscript containing DCCCXXIX artifacts and wants to divide them equally among XXIII museums. How many artifacts does each museum receive?
Each museum receives XXXVI artifacts.
Divide the total number of artifacts by the number of museums:
DCCCXXIX = 829 and XXIII = 23.
Therefore, 829 / 23 = 36.
In Roman numerals, 36 is written as XXXVI.
Calculate the product of XXIX and XXV and express the result in Roman numerals.
The product of XXIX and XXV is DCCXXV.
Convert the Roman numerals to Arabic numerals:
XXIX = 29 and XXV = 25.
The product is 29 × 25 = 725.
In Roman numerals, 725 is written as DCCXXV.
A collector has a total of CMXXXI coins and decides to give away a certain number, leaving him with DCCCXXIX. How many coins did he give away?
He gave away CII coins.
To find out how many coins he gave away, subtract the remaining coins from the total:
CMXXXI = 931 and DCCCXXIX = 829.
931 - 829 = 102.
In Roman numerals, 102 is written as CII.
Express the result of adding CLXXVIII and DCLI in Roman numerals.
The result of adding CLXXVIII and DCLI is DCCCXXIX.
Convert the Roman numerals to Arabic numerals:
CLXXVIII = 178 and DCLI = 651.
The sum is 178 + 651 = 829.
In Roman numerals, 829 is written as DCCCXXIX.
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.