Last updated on May 26th, 2025
Roman numerals are the 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 so on. Here we will be discussing Roman Numerals, rules, and examples.
The royal titles, such as Henry I, Henry II, and so on. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman Numerals.
Earlier, people used to count using fingers, sticks, bones, etc. When life became complex, a standard form was required to count. Ancient Romans used the Roman Numeral system to count. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols we use to count.
In Roman Numerals, we use DCXXXVII to represent 637. Here, D is 500, C is 100, X is 10, and I is 1. 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, DCXXXVII → D (500) + C (100) + X (10) + X (10) + X (10) + V (5) + I (1) + I (1) = 637.
To write a large number, certain Roman Numerals can be repeated up to three times. For example, XXX → 30.
If a small number precedes a large number in Roman Numerals, we subtract the smaller number from the large number. 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 won't write VV for 10; instead, we use X.
Let’s now learn how to write 637 in Roman Numerals. Follow these methods to write the number in Roman Numerals:
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 637 in Roman numerals using the expansion method. To write 637 in Roman Numerals, follow the steps:
Step 1: Break the number based on the place value: hundreds, tens, and ones. For 637, we write it as 600 + 30 + 7.
Step 2: Convert the number into Roman Numerals:
600 in Roman Numerals - DC
30 in Roman Numerals - XXX
7 in Roman Numerals - VII
Step 3: Combine the Roman Numerals together. Therefore, 637 in Roman Numerals is DC (600) + XXX (30) + VII (7) = DCXXXVII.
When writing a large number into Roman Numerals, we group the number. To write 637 in Roman Numerals, we group 637 as 600 + 30 + 7.
So, 637 is written as DCXXXVII in Roman Numerals.
Students 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 historian finds two ancient artifacts labeled DCXX and XVII. What is their combined historical value in Roman numerals?
The combined historical value is DCLVII
In Roman numerals, DCXX is 620 and XVII is 17. Adding these gives 620 + 17 = 637. 637 in Roman numerals can be written as DCLVII.
A scholar is dividing MCMXCIX ancient coins among III scholars. How many coins does each scholar receive if the coins are divided equally?
Each scholar receives DCLXVI coins.
To find the number of coins each scholar gets, divide the total number of coins by the number of scholars.
MCMXCIX = 1999
III = 3
1999 / 3 = 666
666 in Roman numerals can be written as DCLXVI.
A museum received two donations of artifacts, one containing CCCX and the other CCCXXVII. Calculate the total number of artifacts received.
The total number of artifacts received is DCXXXVII.
To find the total, add the two quantities.
CCCX = 310
CCCXXVII = 327
310 + 327 = 637
637 in Roman numerals is DCLVII.
In a mathematical puzzle, a sequence starts at DCL and decreases by III each step. What is the value of the sequence after one step?
The value after one step is DCXXXVII.
The decrease in value is found by subtracting III from DCL.
DCL = 650
III = 3
650 - 3 = 647
647 in Roman numerals is DCXLVII.
Express the sum of CCCLXXII and CCLXV in Roman numerals using the expansion method.
The sum is DCXXXVII.
Step 1: Convert the numbers CCCLXXII and CCLXV into Roman numerals.
CCCLXXII = 372
CCLXV = 265
Add the numbers together: 372 + 265 = 637 Using the expansion method: 637 = 600 + 30 + 7 = DCXXXVII.
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.