Im ersten Kapitel zu den [url=https://www.geogebra.org/m/cvbnfs3u#material/eq87aj6e]allgemeinen Regeln zu den Vorzeichen bei Multiplikation und Division[/url] haben wir herausgefunden, das Ergebnis der Multiplikation ein Positives Vorzeichen hat, wenn beide Zahlen das selbe Vorzeichen haben. Es hat außerdem ein negatives Vorzeichen, wenn die Vorzeichen der beiden Zahlen unterschiedlich sind.
Wählen Sie alle Rechenaufgaben aus, bei denen Sie in jedem Fall eine negative Zahl herauskommt!
Zusammen mit dem vorgehen zur [url=https://www.geogebra.org/m/cvbnfs3u#material/vw6ay55v]schriftlichen Multiplikation in N[/url] können wir nun also auch zwei beliebige ganze Zahlen multiplizieren:
Es soll das Ergebnis von [math]24\cdot\left(-354\right)[/math] berechnet werden. Wir berechnen zuerst das Ergebnis von [math]24\cdot354[/math]:[br][img]data:image/png;base64,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[/img][br]Da die ursprünglichen Zahlen unterschiedliche Vorzeichen hatten, lautet das eigentliche Ergebnis also -8496.
Bereiten Sie sich dann darauf vor, den anderen Gruppen das Vorgehen zu erklären![br]Stellen Sie sicher, dass die anderen verstehen:[br][list][*]Wie multipliziert man natürliche Zahlen schriftlich?[/*][*]Wie benutzt man dieses Schema, um ganze Zahlen mit beliebigem Vorzeichen miteinander zu verrechnen? [/*][/list]Bereiten Sie auf jeden Fall auch ein Beispiel für die anderen Gruppen vor![br][br][color=#ff0000]Wenn sie komplett fertig sind, tragen Sie sich in die Liste am Tablet am Pult ein![/color][br]