## Sam Albee

## Position systems

Position systems occur - DoMyHomework - in only four written language civilizations: Mesopotamia and China.

In a position system with the base number b, a number is replaced by a sequence of base digits a ishown: The base number determines - domyhomework.club/calculus-homework/ - the number of basic digits required. So there are 10 in the decimal system, 2 in the dual system, 8 in the octal system, 16 in the hexadecimal system and 60 in the sexagesimal system.

## Historical

Positional systems occur only in four written language civilizations: Mesopotamia and China.

- In
**Mesopotania**, from 2350 to 2200 B.C. The first great empire, the empire of the Akkadians. Characters and numerals were shown in cuneiform on clay tablets. The central administration rationalized and unified the adopted systems of units.

After the collapse of the Akkadian Empire, from 2123 to 2015 B.C. A central state, the III. Dynasty of Ur. Now the positional system of Mesopotanian mathematics developed. It was a fully developed position system with the basic number 60 and 59 basic digits. There was no sign for the zero, the corresponding position was left blank. - The beginnings of arithmetic in
**China**go back a long way. The legendary YELLOW EMPEROR is said to have given three servants the following orders: Xi He to observe the sun; Chang Yi the observation of the moon and Li Shou the invention of arithmetic.

An individual, however, would hardly have been able to invent arithmetic - geometry homework helper . What is certain is that characters were used for digits during the SHANG DYNASTY (16th to 11th centuries BC). In the so-called oracle bone script z. B. the numbers 1 to 4 through horizontal lines (one above the other), the number 5 through X and the number 6 through∩shown.

The largest number entered on oracle bones is 30,000, the smallest 1. The units tens, hundreds, thousands and tens of thousands are each represented by a special number symbol.

In ancient China, calculations were carried out without the direct use of numbers, using calculators. To represent numbers, the sticks were placed either horizontally or vertically. The ones horizontally, the tens vertically, the hundreds again horizontally, etc. There was a space for the zero. The decimal system in the real sense is then between 770 and 221 BC. BC originated.

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by Sam Albee on 2021-10-07 04:58:59

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