2.2. Whole Numbers & Numeration

Math History:

http://www.seanet.com/~ksbrown/ihistory.htm

Translale Egyption Numbering System: (3400 BC)

http://www.psinvention.com/zoetic/tr_egypt.htm

The Egyptians had a decimal system using seven different symbols.

        1 is shown by a single stroke.
        10 is shown by a drawing of a hobble for cattle.
        100 is represented by a coil of rope.
        1,000 is a drawing of a lotus plant.
        10,000 is represented by a finger.
        100,000 by a tadpole or frog
        1,000,000 is the figure of a god with arms raised above his head.
 
1

10

100

1,000

10,000

100,000

Million

Roman Numeration System: (AD 100)
 
System

I - 1

V - 5

X - 10

L - 50

C - 100

D - 500

M - 1000

Substraction Method

IV - 4

IX - 9

XL - 40

XC - 90

CD - 400

CM - 900

Examples

CCLXXX1 - 281

MCVII - 1108

MCMXLIV >

 M CM XL IV >

 100+900+40+4

Babylonian Numeration System: ( 3000 - 2000 BC)
 

Mayan Numbering System: (AD 300 - 900)
 
Abacus: (500 BC - Present) Basics - Calculations are performed by placing the abacus flat on a table or one's lap and manipulating the beads with the fingers of one hand. Each bead in the upper deck has a value of five; each bead in the lower deck has a value of one. Beads are considered counted, when moved towards the beam that separates the two decks. The rightmost column is the ones column; the next adjacent to the left is the tens column; the next adjacent to the left is the hundreds column, and so on. After 5 beads are counted in the lower deck, the result is "carried" to the upper deck; after both beads in the upper deck are counted, the result (10) is then carried to the leftmost adjacent column. Floating point calculations are performed by designating a space between 2 columns as the decimal-point and all the rows to the right of that space represent fractional portions while all the rows to the left represent whole number digits

Hindu-Arabic System: (AD 800)

Digits {0,1,2,3,4,5,6,7,8,9}, Base 10 (decimal system),

Place value ( ..., million, thousands,hundred,tens,ones . tenth,hundredth, ...)