Heron Rechner

[b]Du kannst die Begleitfragen gleich hier beantworten oder dazu das PDF-Dokument unterhalb verwenden.[/b]
★★☆ [br]Ist die folgende Aussage richtig oder falsch? [br]"Mit dem Heron Verfahren können auch Wurzeln aus Quadratzahlen berechnet werden, z.B. [math]\sqrt{9}[/math] oder [math]\sqrt{16}[/math]."
★★★[br]Gib eine beliebige Zahl ein und sieh dir die Berechnung der Wurzel an. [br]Betrachte in der Tabelle die Spalte "Länge". [br][br]Welches Satzende ist richtig? [br]Für die Länge von jedem neuen Rechteck ...
★★★[br]Sieh dir die Berechnung von [math]\sqrt{14}[/math] an. [br]Erkläre anhand der markierten Zeile, wie die Breite 1,86666... vom neuen Rechteck berechnet wird. [br]Was bedeuten die Zahlen 14 und 7,5?[br][br][img]data:image/png;base64,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[/img]
★★★[br]Was passiert geometrisch bei der Berechnung einer Wurzel mit dem Heron Verfahren? [br]Beschreibe anhand der Abbildung für [math]\sqrt{23}[/math]. [br][br][img]data:image/png;base64,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[/img]
★★★[br]Sieh dir die Berechnung von [math]\sqrt{18}[/math] an. [br]Blende die Berechnung aus, damit du möglichst viele Nachkommastellen betrachten kannst. [br][br]Vervollständige den Satz: [br]Je öfter die Schritte des Verfahrens durchgeführt werden, desto __________ Nachkommastellen sind gleich.
★★★[br]Mika sieht sich die Berechnung von [math]\sqrt{18}[/math] an und meint: [br]"Der Wert 4,0647 in der 4. Zeile der Berechnung ist ein ungefährer Wert für [math]\sqrt{18}[/math]." [br][br]Hat Mika recht? Begründe!
★★★[br]Sieh dir die Berechnung von [math]\sqrt{13}[/math] an. [br]Blende die Berechnung aus, damit du möglichst viele Nachkommastellen betrachten kannst. [br][br]Gib einen ungefähren Wert für [math]\sqrt{13}[/math] an.
★★★[br]Sieh dir die Berechnung von [math]\sqrt{20}[/math] an. [br]Blende die Berechnung aus, damit du möglichst viele Nachkommastellen betrachten kannst. [br][br]Im letzten Schritt sind bereits alle angezeigten Stellen orange gefärbt. [br]Wurden damit alle Nachkommastellen von [math]\sqrt{20}[/math] gefunden?[br]Begründe deine Antwort.
★★★[br]Vergleiche die Berechnungen von [math]\sqrt{2}[/math] und [math]\sqrt{24}[/math]. [br]Blende die Berechnung aus, damit du möglichst viele Nachkommastellen betrachten kannst. [br][br]Welches Wort fehlt? [br]Je kleiner die Zahl unter der Wurzel ist, desto __________ Schritte braucht es, um viele übereinstimmende Nachkommastellen zu finden.
Begleitfragen-Dokument: Heron Rechner
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Information: Heron Rechner