938 in Roman Numerals

Royal titles, such as Henry I, Henry II, and so on, often use Roman numerals. Have you ever noticed these symbols and wondered what they signify? These are Roman numerals. In ancient times, people used fingers, sticks, and bones to count. When life became more complex, a standardized system was needed. The ancient Romans developed the Roman numeral system. The symbols I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are used for counting.

In Roman numerals, we use CMXXXVIII to represent 938. Here, CM is 900, XXX is 30, and VIII is 8. Let’s learn more about Roman numerals and how we write them.

Several foundational rules govern the writing of numbers in Roman numerals. Let’s explore some essential rules to remember when writing a number in Roman numerals.

Rule 1: Addition Method

The addition method is used when a smaller number is placed after a larger number. For example, VIII → V + III → 5 + 3 = 8.

Rule 2: Repetition Method

Certain Roman numerals can be repeated up to three times to indicate a larger number. For example, XXX → 30.

Rule 3: Subtraction Method

If a smaller number precedes a larger number, it is subtracted. For example, CM → C - M → 1000 - 100 = 900.

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 use X instead of VV for 10.

Let’s learn how to write 938 in Roman numerals using the following methods: 

• By Expansion Method 
• By Grouping Method

In the expansion method, the number is broken down based on place value. Let's learn how to write 938 in Roman numerals using this method.

To write 938, follow these steps:

Step 1: Break the number based on place value: hundreds, tens, and ones. For 938, we write it as 900 + 30 + 8.

Step 2: Convert each number into Roman numerals:

• 900 in Roman numerals - CM
   
• 30 in Roman numerals - XXX
   
• 8 in Roman numerals - VIII

Step 3: Combine the Roman numerals: Therefore, 938 in Roman numerals is CM (900) + XXX (30) + VIII (8) = CMXXXVIII.

When expressing a large number in Roman numerals, we group the number. For 938, we group it as 900 + 30 + 8:

• 900 in Roman numerals - CM
   
• 30 in Roman numerals - XXX
   
• 8 in Roman numerals - VIII

Thus, 938 is written as CMXXXVIII in Roman numerals.

Roman numerals follow a pattern, making some numbers appear similar. Let's examine numbers related to the Roman numeral 938. 

• Addition Rule: Used when a larger numeral is followed by a smaller one, where values are added. For example, CMXXXVIII = CM + XXX + VIII = 938.

• Grouping Method: Numbers are grouped based on their place value, then converted into Roman numerals. For example, 938 = 900 + 30 + 8 = CMXXXVIII.

• Repetition Rule: Certain symbols (I, X, C, M) can be repeated up to three times; for example, XXX = 30.

• Subtraction Method: Used when a smaller numeral precedes a larger one, subtracting the smaller value. For example, CM = 1000 - 100 = 900.

• Limitation Rule: Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated.