Roman Numerals

Roman numerals are a numeral system that originated in ancient Rome. They are based on a combination of letters from the Latin alphabet to represent numbers. In this system, certain letters are used to represent specific values.

Representing 40 in Roman Numerals

To represent the number 40 in Roman numerals, the correct Roman numeral is "XL". Here's an explanation of why this is the correct answer:

The Roman Numeral System

The Roman numeral system uses a combination of seven letters to represent different values:

- I represents 1
- V represents 5
- X represents 10
- L represents 50
- C represents 100
- D represents 500
- M represents 1000

Understanding the Roman Numeral "XL"

The Roman numeral "XL" represents the number 40. Here's how it can be broken down:

- The letter "X" represents 10 in Roman numerals.
- When a smaller numeral is placed before a larger numeral, it is subtracted from the larger numeral. In this case, the letter "L" represents 50 in Roman numerals.
- By placing "X" before "L", we subtract 10 from 50, resulting in 40.

Incorrect Options

Let's discuss why the other options are incorrect:

- Option "a) XXXX" represents 40 as 4 tens, which is incorrect. In Roman numerals, four tens are represented by the letter "XL".
- Option "c) XLC" represents 40 as 10 + 50 + 100, which equals 160. This is incorrect.
- Option "d) XXXVIIIII" represents 40 as 39, which is incorrect. In Roman numerals, 39 is represented as "XXXIX".

Conclusion

In the Roman numeral system, the correct representation of 40 is "XL". It is important to understand the values associated with each letter and the rules for combining them to accurately represent numbers in Roman numerals.