āDiscovering the Power of Positional Notationā Once upon a time, in the land of Digitopolis, there lived a wise old king named King Decimal. King Decimal ruled over a kingdom where numbers were the language, and everyone spoke in digits. But there was something unique about Digitopolis - they used a special system called the Positional Notation System. In this system, the position of each digit determined its value. The citizens of Digitopolis found this system very efficient and easy to use. Let's see how it worked: Imagine you are a citizen of Digitopolis and you have the number 123. In the Positional Notation System, you would read this number as follows: - The '3' is in the ones place, so its value is \(3 * 10^0 = 3\). - The '2' is in the tens place, so its value is \(2 * 10^1 = 20\). - The '1' is in the hundreds place, so its value is \(1 * 10^2 = 100\). Adding these up gives you \(3 + 20 + 100 = 123\), which is the original number! One day, a young cit...