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De geschiedenis van de deling

Nationale Wiskunde Dagen 2014 Natascha Ralki & Sien Gielen. De geschiedenis van de deling. Egyptische deling. Gerbert. Ontbinden in factoren. De staart-deling. 2000 v. Chr. 825 980. 1400 1600 1800 2000. De galei-methode. De k orte deling. De lange deling.

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De geschiedenis van de deling

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  1. Nationale Wiskunde Dagen 2014 Natascha Ralki & Sien Gielen De geschiedenis van de deling

  2. Egyptische deling Gerbert Ontbinden in factoren De staart-deling 2000 v. Chr. 825 980 1400 1600 1800 2000 De galei-methode De korte deling De lange deling

  3. Verklaring Egyptische deling

  4. 19 : 8 3=2+1 3 =8 : 2 : 2 +8 : 2 : 2 : 2 = 8 x + 8 x 19 = 8 x 2 + 8 x + 8 x 19 = 8 x 2 + 3 19 = 8 x ( 2 x + )

  5. Verklaring Galeimethode

  6. 8 685 : 16 8 685 = (5  1 000)+ 3 685 • = (5  1 000) + (5  600)+ 685 • = 5  (1000 + 600)+ 685 • = 5  (1600) + 685 • = 5  (1600) + [(4  100) + 285] • = 5  (1600) + [(4  100)+ (4  60) + 45] • = 5  (1600) + [4  (100 + 60) + 45] • = 5  (1600) + (4  160) + 45 • = 5  (1600) + (4  160) + [(2 10) + 25] • = 5  (1600) + (4  160) + [(2  10) + (2  6) + 13] • = 5  (1600) + (4  160) + [2  (10 + 6) + 13] • = 5  (1600) + (4  160) + (2  16) + 13]

  7. Verklaring Gerbert

  8. = (10 – 2)  90 + 180 + 4 = (10 – 2) 90 + (10 – 2)  18 + 2  18 + 4 = (10 – 2)  90 + (10 – 2)  18 + 40 = (10 – 2)  90 + (10 – 2)  18 + (10 – 2)  4 + 2  4 = (10 – 2)  90 + (10 – 2)  18 + (10 – 2)  4 + 8 = (10 – 2) (90 + 18 +4) + 8 = 8  (90 + 18 +4 + 1) = 8  113 904 = 900 + 4 = 10 x 90 = (10 – 2) x 90 + 2 x 90 + 4 904 : 8

  9. Doorschuiven

  10. 1  2 2  3 3  1 4  5 5  6 6  4 Doorschuiven: eerste keer

  11. 1  3 2  1 3  2 4  6 5  4 6  5 Doorschuiven: tweede keer

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