428 in Roman Numerals

Royal titles, such as Henry I, Henry II, and so forth, often use Roman numerals. Have you noticed these symbols and wondered what they represent? These are Roman numerals.

In ancient times, people counted using fingers, sticks, bones, etc. As life grew more complex, a standardized counting system became necessary. The ancient Romans developed the Roman numeral system to address this need. 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, 428 is represented as CDXXVIII, where C is 100, D is 500, X is 10, and I is 1. Let's explore more about Roman numerals and how to write them.

Certain basic rules govern the writing of numbers in Roman numerals. In this section, we will discuss some fundamental rules to remember when writing numbers in Roman numerals.

Rule 1: Addition Method

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

Rule 2: Repetition Method

To write a larger number, some Roman numerals can be repeated up to three times. For example, XXX → 30.

Rule 3: Subtraction Method

When a smaller numeral precedes a larger numeral, it indicates subtraction. For example, IV → V - I → 5 - 1 = 4.

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 write 10 as X, not VV, and 8 as VIII, not IIIIIIII.

Let's learn how to write 428 in Roman numerals using different methods.

• By Expansion Method
• By Grouping Method

In the expansion method, numbers are broken down based on place value. Here, we will learn how to write 428 in Roman numerals using this method. To write 428 in Roman numerals, follow these steps:

Step 1: Break down the number based on place value: hundreds, tens, and ones. For 428, we write it as 400 + 20 + 8.

Step 2: Convert each component into Roman numerals:

400 in Roman numerals - CD

20 in Roman numerals - XX

8 in Roman numerals - VIII

Step 3: Combine the Roman numerals together. Therefore, 428 in Roman numerals is CD (400) + XX (20) + VIII (8) = CDXXVIII.

When writing a large number in Roman numerals, we group the number. To write 428 in Roman numerals, we group 428 as 400 + 20 + 8.

• 400 in Roman numerals - CD
   
• 20 in Roman numerals - XX
   
• 8 in Roman numerals - VIII

So, 428 is written as CDXXVIII in Roman numerals.

Roman numerals follow a systematic pattern that makes them appear similar. In this section, we'll explore numbers related to the Roman numeral 428. 

• Addition rule: This method is used when a larger numeral is followed by a smaller one, and their values are added. For example, VIII = V + III = 8.

• Grouping method: The number is grouped based on place value, and each group is converted to Roman numerals. For example, 428 = 400 + 20 + 8 = CDXXVIII.

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

• Subtraction rule: This method is used when a smaller numeral precedes a larger one, indicating subtraction. For example, IX = X - I = 9.

• Limitation rule: Some symbols like V, L, and D cannot be repeated, and no symbol is repeated more than three times consecutively.