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Last updated on February 24th, 2025
Roman numerals are a system of expressing numbers using specific symbols: I, V, X, L, C, D, and M. These numerals appear in various contexts, such as royal titles, book chapters, and sequences. Here, we will discuss Roman numerals, their rules, and examples.
When you see royal titles like Henry VIII, you might wonder what the symbols (VIII) represent. Those are Roman numerals. In ancient times, people counted using fingers, sticks, and bones. As life became more complex, a standardized form was needed. The ancient Romans developed the Roman numeral system: I (1), V (5), X (10), L (50), C (100), D (500), and M (1000).
For 118, we use CXVIII in Roman numerals, where C represents 100, X is 10, and VIII is 8. Let’s delve deeper into Roman numerals and how we write them.
There are basic rules for writing numbers using Roman numerals. Let's discuss these rules:
Rule 1: Addition Method
When a smaller numeral is placed after a larger one, their values are added. For example, CXVIII → C + X + VIII → 100 + 10 + 8 = 118.
Rule 2: Repetition Method
Certain Roman numerals can be repeated up to three times. For example, VIII → 8, using V (5) and III (3).
Rule 3: Subtraction Method
If a smaller numeral precedes a larger numeral, the smaller is subtracted from the larger. 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 example, we use X for 10 instead of VV, and for 8, we write VIII, not IIIIIIII.
Let’s learn how to write 118 in Roman numerals using different methods:
In this method, numbers are broken down based on place value:
Step 1: Break down the number by place value. For 118, it’s 100 + 10 + 8.
Step 2: Convert each part into Roman numerals:
- 100 in Roman numerals — C
- 10 in Roman numerals — X
- 8 in Roman numerals — VIII
Step 3: Combine them: C + X + VIII = CXVIII.
For larger numbers, group them:
To write 118 in Roman numerals, group it as 100 + 10 + 8.
- 100 in Roman numerals — C
- 10 in Roman numerals — X
- 8 in Roman numerals — VIII
Therefore, 118 is written as CXVIII.
A historian wants to divide a collection of MMCCCXVII artifacts among XIX museums. How many artifacts does each museum receive?
Find the sum of LIX and LIX.
A clock shows the time as VII. What will be the time in Roman numerals if 111 more minutes have passed?
Calculate the difference between CL and XXXII.
Write the Roman Numeral for 60 + 58 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.