schriftliche Subtraktion in Z

Im ersten Kapitel zu den [url=https://www.geogebra.org/m/cvbnfs3u#material/m5wsfmjh]allgemeinen Regeln der Addition und Subtraktion in Z[/url] haben wir herausgefunden, dass die Beträge zweier Zahlen subtrahiert werden müssen, wenn sie unterschiedliche Vorzeichen haben.
Wählen Sie alle Rechenaufgaben aus, bei denen Sie in jedem Fall den Betrag einer Zahl vom Betrag einer anderen Zahl abziehen müssten!
Zusammen mit den Kenntnissen zur [url=https://www.geogebra.org/m/cvbnfs3u#material/yzbzsypj][/url][url=https://www.geogebra.org/m/cvbnfs3u#material/yfpjankw]schriftliche Subtraktion[/url] in den natürlichen Zahlen können wir nun also alle Rechnungen lösen, bei denen die Vorzeichen der Zahlen unterschiedlich sind. (Die anderen Fälle erarbeitet sich eine andere Gruppe!)
Beispiel
Die Rechnung 185-243 soll ausgeführt werden. [br]Da 185 kleiner als 243 ist, wird das Ergebnis sicher negativ, da wir am Zahlenstrahl nach links gehen. Statt der Rechnung 185-243 rechnet man also 243-185 und gibt dem Endergebnis ein negatives Vorzeichen. Dann lässt sich die Aufgabe schriftlich durch eine Subtraktion lösen:[br][img]data:image/png;base64,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[/img][br][br]
Alles verstanden?
Überprüfen Sie ihr Verständnis an den folgenden Übungen. Bereiten Sie sich dann darauf vor, den anderen Gruppen das Vorgehen zu erklären![br]Stellen Sie sicher, dass die anderen verstehen:[br][list][*]Wie subtrahiert man natürliche Zahlen schriftlich?[/*][*]Wie benutzt man dieses Schema, um Zahlen mit unterschiedlichem Vorzeichen miteinander zu verrechnen? [/*][*]Welche Zahl ziehe ich von welcher Zahl ab? Wann erhält das Ergebnis welches Vorzeichen?[/*][/list][br]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]
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情報: schriftliche Subtraktion in Z