The system based on the number 60 is known as the sexagesimal system. This ancient system has been used by various civilizations throughout history, including the Babylonians and the ancient Egyptians. The sexagesimal system is based on the number 60 because it is divisible by many different numbers, making it a convenient base for calculations. In the sexagesimal system, numbers are represented using a combination of units, such as ones, tens, and hundreds, as well as multiples of 60. For example, the number 72 would be represented as 1 unit and 12 multiples of 60. This system is still used in modern times, particularly in the measurement of time and angles. One of the most common uses of the sexagesimal system is in measuring time. There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. This division of time into units of 60 is a legacy of the sexagesimal system. Similarly, angles are often measured in degrees, with each degree further divided into 60 minutes and each minute divided into 60 seconds. The sexagesimal system is also used in geographical coordinates, with locations on the Earth's surface being measured in degrees, minutes, and seconds. This system allows for precise location data to be recorded and communicated using a standardized format. Overall, the sexagesimal system is a versatile and widely-used system that has stood the test of time. Its basis in the number 60 makes it a convenient and practical choice for a variety of calculations and measurements. Whether you are measuring time, angles, or geographical coordinates, the sexagesimal system provides a consistent and easily understood framework for making calculations. If you would like to learn more about the sexagesimal system and its applications, you can visit the following websites for additional information: - [Wikipedia - Sexagesimal System](https://en.wikipedia.org/wiki/Sexagesimal) - [Math is Fun - Sexagesimal System](https://www.mathsisfun.com/numbers/sexagesimal-system.html)

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