Where does XXIV come from?

Answered by Jarrod Smith

The Roman numeral system is a numeric system that was used by the ancient Romans. It is based on a combination of letters from the Latin alphabet to represent numbers. In this system, different letters represent different values, and when these letters are combined, they form the desired number.

The number 24 in Roman numerals is represented by the combination of the letters XXIV. Let’s break it down to understand where each letter comes from and how they combine to form 24.

The letter X in Roman numerals represents the value of 10. It is derived from the Greek letter “chi,” which also represented the number 600. The Romans adopted this letter and assigned it the value of 10 in their numeral system. The letter X is often associated with the idea of crossing or intersecting lines, which can be seen in its shape.

When we have two X’s together, like in XX, it means that we are adding the value of 10 twice, resulting in 20. This is because the Romans used an additive principle in their numeral system, where numbers were added together to form larger numbers.

Now, let’s look at the next part of the Roman numeral representation for 24, which is IV. The letter I represents the value of 1 in Roman numerals. It is believed to have originated from the Phoenician letter “yodh,” which also represented the number 10. The Romans adapted this letter and assigned it the value of 1.

When the letter I is placed before a larger numeral, it indicates that we need to subtract its value from the larger numeral. In this case, IV means that we subtract 1 from 5, which gives us 4. The use of subtractive notation was a way for the Romans to make their numeral system more compact and efficient.

Combining the values of XX (20) and IV (4), we get XXIV, which represents the number 24 in Roman numerals. So, the origin of XXIV can be traced back to the assigned values of X and I in the Roman numeral system, along with the principles of addition and subtraction.

It is fascinating to explore the history and development of numeral systems used by different civilizations. Understanding the origins of Roman numerals not only gives us insight into ancient Roman culture but also helps us appreciate the evolution of mathematical notation and the diverse ways in which different societies have represented numbers.