402 in roman numerals

The royal titles, such as Henry I, Henry II, and so on, often use Roman numerals. Have you noticed these names and wondered what these symbols (I and II) represented? Those are Roman numerals. In earlier times, people used fingers, sticks, bones, etc., to count. As life became more complex, a standard form was required for counting. Ancient Romans used the Roman numeral system to count. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols we use to count.

In Roman numerals, we use CDII to represent 402. Here, CD is 400 and II is 2. 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 a smaller number is placed after a larger number. For example, II → I + I → 1 + 1 = 2

Rule 2: Repetition Method

To write a large number, there are certain Roman numerals that can be repeated up to three times. III → 3.

Rule 3: Subtraction Method

If a smaller number is placed before a larger number in Roman numerals, we subtract the smaller number from the larger number. For example, IV → V - I → 5 - 1 = 4

Rule 4: Limitation Rule

The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we won't write VV for 10; instead, we use X, and 8 is written as VIII, not IIIIIIII.

Let’s now learn how to write 402 in Roman numerals. Follow these methods to write the number in Roman numerals. 

• By Expansion Method

• By Grouping Method

In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 402 in Roman numerals using the expansion method.

To write 402 in Roman numerals, follow these steps:

Step 1: Break the number based on place value. Place values include ones, tens, hundreds, etc.

For 402, we write it as 400 + 2

Step 2: Convert the numbers into Roman numerals

400 in Roman numerals — CD

2 in Roman numerals — II

Step 3: Combine the Roman numerals together. 

Therefore, 402 in Roman numerals is CD (400) + II (2) = CDII

When writing a large number in Roman numerals, we group the number. 

To write 402 in Roman numerals, we group 402 as 400 + 2

400 in Roman numerals — CD

2 in Roman numerals — II

So, 402 is written as CDII in Roman numerals.

Roman numerals follow a certain pattern, making them look similar. In this section, we will learn some numbers related to the Roman numeral 402.

CDII = 402
CDIII = 403
CDIV = 404
CDV = 405
CDVI = 406
CDVII = 407
CDVIII = 408
CDIX = 409

• Addition rule: The addition method is used when a large number is followed by a smaller numeral; here, the values are added. For example, CDII = CD + II = 400 + 2 = 402.

• Grouping method: Here, the given numbers are grouped based on their place value, and then we convert each group into its Roman numerals. For example, 402 = 400 + 2 = CDII.

• Repetition rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, III = 3 (I is repeated three times to represent the number 3).

• Subtraction rule: This method is used when a smaller numeral precedes a larger numeral, indicating subtraction. For example, IX = 10 - 1 = 9.

• Limitation rule: Some Roman numerals such as V, L, and D cannot be repeated, and numerals like I, X, C, and M can only be repeated up to three times.