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Last updated on February 23rd, 2025
Roman numerals are a way of expressing numbers using symbols such as I, V, X, L, C, D, and M. These numerals are used in various contexts like royal titles, book names, sequences, and more. Here we will discuss Roman numerals, their rules, and examples.
Royal titles such as Henry I, Henry II, and so on use Roman numerals to denote succession. The symbols I and II stand for Roman numerals. In ancient times, people counted using fingers, sticks, bones, etc.
As society evolved, a standard form of counting became necessary. The Romans developed the Roman numeral system for counting. The symbols used are I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).
In Roman numerals, 713 is represented as DCCXIII, where D is 500, CC is 200, X is 10, and III is 3. Let’s learn more about Roman numerals and how we write them.
There are certain basic rules to write a number in Roman numerals. Let's discuss some basic rules that need to be remembered when writing a number in Roman numerals.
The addition method is used when a smaller numeral is placed after a larger numeral. For example, XIII → X + I + I + I → 10 + 1 + 1 + 1 = 13.
Certain Roman numerals can be repeated up to three times. For instance, III → 3.
If a smaller numeral precedes a larger numeral, you subtract the smaller number. For example, IX → X - I → 10 - 1 = 9.
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 VV for 10; instead, we use X.
Let’s learn how to write 713 in Roman numerals. Follow these methods to write the number in Roman numerals:
In the expansion method, a number is broken down based on its place value. Here’s how to write 713 in Roman numerals using the expansion method:
Step 1: Break the number down based on place value (ones, tens, hundreds, etc.).
For 713, break it down as 700 + 10 + 3.
Step 2: Convert the numbers into Roman numerals:
700 in Roman numerals — DCC
10 in Roman numerals — X
3 in Roman numerals — III
Step 3: Combine the Roman numerals together.
Therefore, 713 in Roman numerals is DCC + X + III = DCCXIII.
When writing a large number in Roman numerals, we group the number:
To write 713 in Roman numerals, group it as 700 + 10 + 3.
700 in Roman numerals — DCC
10 in Roman numerals — X
3 in Roman numerals — III
So, 713 is written as DCCXIII in Roman numerals.
A historian discovers an ancient manuscript that mentions the number DCCXIII. If he deciphers an additional fragment mentioning the number CDVI, what is the combined value of these numbers in modern numerals?
A library has a total of DCCXIII books, which are to be evenly distributed among XXIX shelves. How many books will each shelf hold?
An artifact collector has a collection of CCLXXI coins and plans to acquire DCCCCXLII more. What will be the total number of coins after the acquisition?
A historian finds two scrolls, one with the number DCCXIII and another with CDXLIV. What is the difference between these two numbers in modern numerals?
Convert the expression 300 + 413 into Roman numerals using the expansion method.
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.