138 in Roman Numerals

The royal titles, such as Henry I, Henry II, and so on. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman Numerals. Earlier people used to count using fingers, sticks, bones, etc. to count earlier. When life became complex a standard form was required to count. 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 CXXXVIII to represent 138, where C is 100, XXX is 30, and VIII is 8. 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 the smaller number is placed after the larger number. For example, CXXXVIII → C + XXX + VIII → 100 + 30 + 8 = 138.

Rule 2: Repetition Method

To write a large number, certain Roman Numerals can be repeated up to three times. For example, XXX → 30.

Rule 3: Subtraction Method

If a smaller number is followed by a larger number in Roman Numerals, we subtract the smaller number from the larger one. This is the subtraction method. 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 we write as VIII, not IIIIIIII.

Let’s now learn how to write 138 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 138 in Roman numerals using the expansion method.

To write 138 in Roman Numerals, follow the steps:

Step 1: Break the number based on the place value: hundreds, tens, ones.

For 138, we write it as 100 + 30 + 8.

Step 2: Convert the numbers into Roman Numerals:

100 in Roman Numerals — C
30 in Roman Numerals — XXX
8 in Roman Numerals — VIII

Step 3: Combine the Roman Numerals together.

Therefore, 138 in Roman Numerals is C (100) + XXX (30) + VIII (8) = CXXXVIII.

When writing a large number into Roman Numerals, we group the number.

To write 138 in Roman Numerals, we group 138 as 100 + 30 + 8.

100 in Roman Numerals — C

30 in Roman Numerals — XXX

8 in Roman Numerals — VIII

So, 138 is written as CXXXVIII 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 138.

• Addition rule: The addition method is used when a large number is followed by a smaller numeral, here the values are added. For example, CXXXVIII = C + XXX + VIII = 100 + 30 + 8 = 138.

• 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, 138 = 100 + 30 + 8 = CXXXVIII.

• Repetition rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, XXX = 30 (X is repeated three times to represent the number 30).

• Subtraction method: When a smaller numeral is placed before a larger numeral, it is subtracted. For example, IV = 5 - 1 = 4.

• Place value: Understanding the place value helps in breaking down the number for conversion. For example, in 138, the place values are hundreds (100), tens (30), and ones (8).