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Last updated on February 24th, 2025
Roman numerals are a way of expressing numbers using symbols. The symbols used in Roman numerals include I, V, X, L, C, D, and M. Roman numerals are often used in royal titles, book names, sequences, and more. Here we will be discussing Roman numerals, rules, and examples.
Have you ever noticed the numerals used in royal titles like Henry VIII or Elizabeth II and wondered what these symbols represent? Those are Roman numerals. In ancient times, people used fingers, sticks, bones, etc., to count. As life became more complex, a standardized form was required for counting. The ancient Romans developed the Roman numeral system for this purpose. The symbols used include I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).
In Roman numerals, we use CXXXVII to represent 137, where C is 100, X is 10, and VII is 7. 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.
Rule 1: Addition Method
The addition method is used when the smaller number is placed after the larger number. For example, in CXXXVII → C + XXX + VII → 100 + 30 + 7 = 137.
Rule 2: Repetition Method
To write a larger number, certain Roman numerals can be repeated up to three times. For example, XXX → 30 (X is repeated three times).
Rule 3: Subtraction Method
If a small number is placed before a larger number in Roman numerals, it is subtracted from the larger number. For example, IX → X - I → 10 - 1 = 9.
Rule 4: Limitation Rule
Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For instance, we do not write VV for 10; instead, we use X.
Let’s now learn how to write 137 in Roman numerals. Follow these methods to write the number in Roman numerals.
In the expansion method, based on place value, the number is broken down. Here we will learn how to write 137 in Roman numerals using the expansion method.
To write 137 in Roman numerals, follow these steps:
Step 1: Break the number based on place value. For 137, we write it as 100 + 30 + 7.
Step 2: Convert each part into Roman numerals:
100 in Roman numerals is C.
30 in Roman numerals is XXX.
7 in Roman numerals is VII.
Step 3: Combine the Roman numerals:
Therefore, 137 in Roman numerals is C (100) + XXX (30) + VII (7) = CXXXVII.
When writing a larger number in Roman numerals, we group the number. For 137, we group it as 100 + 30 + 7:
100 in Roman Numerals is C.
30 in Roman Numerals is XXX.
7 in Roman Numerals is VII.
Thus, 137 is written as CXXXVII in Roman numerals.
Convert CXXXVII into Arabic numerals and find its square.
A historian discovered a manuscript with CXXXVII pages, distributed evenly over XIX chapters. How many pages does each chapter contain?
The sum of two Roman numerals is CXXXVII. If one numeral is LXXXVII, what is the other numeral?
A collector has a set of coins labeled XIII and another set labeled CXXIV. What is the total number of coins if the labels indicate their respective quantities?
Express the result of multiplying XVII by VIII in Roman numerals.
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.