117 in Roman Numerals

You've likely seen royal titles, such as Henry VIII, and wondered what those symbols represented. Those are Roman numerals. In earlier times, people used fingers, sticks, bones, etc., for counting. As life became more complex, a standardized form like Roman numerals became necessary. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used in this system.

In Roman numerals, we use CXVII to represent 117, where C is 100, X is 10, V is 5, and I is 1. Let’s learn more about Roman numerals and how we write them.
 

There are certain basic rules for writing numbers in Roman numerals. Let's discuss these rules:

Rule 1: Addition Method

When a smaller number is placed after a larger number, the values are added. For example, CXVII → C + X + V + I + I → 100 + 10 + 5 + 1 + 1 = 117.

Rule 2: Repetition Method

Roman numerals can be repeated up to three times to form a number. For example, III → 3.

Rule 3: Subtraction Method

If a smaller numeral precedes a larger one, the smaller number is subtracted from the larger number. For example, IV → V - I → 5 - 1 = 4.

Rule 4: Limitation Rule

Some symbols cannot be repeated more than three times, and symbols like V, L, and D cannot be repeated. For instance, we don't write VV for 10; instead, we use X, and for 8, we write VIII, not IIIIIIII.
 

Let’s learn how to write 117 in Roman numerals using different methods.
 

In the expansion method, a number is broken down based on its place value. Here's how to write 117 in Roman numerals using this method:

Step 1: Break the number based on place value: 100 + 10 + 5 + 1 + 1

Step 2: Convert each part into Roman numerals:

- 100 in Roman numerals is C
- 10 in Roman numerals is X
- 5 in Roman numerals is V
- 1 in Roman numerals is I

Step 3: Combine them: C + X + V + I + I = CXVII
 

When writing a number in Roman numerals, group the numbers:

- 100 + 10 + 5 + 1 + 1
- 100 in Roman numerals is C
- 10 in Roman numerals is X
- 5 in Roman numerals is V
- 1 in Roman numerals is I

So, 117 is written as CXVII.
 

Roman numerals follow a pattern that makes them look similar. Here are some numbers related to the Roman numeral 117:

• Addition method: Used when smaller numerals follow larger ones, adding their values. For example, CXVII = C + X + V + I + I = 117.
   
• Grouping method: Numbers are grouped based on place value, then converted into Roman numerals. For example, 117 = 100 + 10 + 5 + 1 + 1 = CXVII.
   
• Repetition rule: Certain symbols (I, X, C, M) can be repeated up to three times. For example, III = 3.
   
• Subtraction method: Used when smaller numerals precede larger ones, subtracting the smaller value. For example, IV = 4.
   
• Limitation rule: Some symbols (V, L, D) cannot be repeated, and others should not be repeated more than three times.