Lenas Überschlagsrechnung (408 : 6 [math]\approx[/math] 500 : 5 = 100) ist eher ungenau. [br]Das genaue Ergebnis ist 68. Lenas Ergebnis weicht um 100 - 68 = 32 davon ab. [br]Eine Abweichung von 32 ist im Vergleich zu 68 groß. [br][br]Finde eine genauere Überschlagsrechnung für 408 : 6. [br]Berechne den Unterschied zwischen dem Näherungswert (deinem Ergebnis) und dem genauen Wert (68).
[br]Eine genauere Überschlagsrechnung ist 420 : 6 = 70. [br]Der Unterschied zwischen dem Näherungswert und dem genauen Wert ist 70 - 68 = 2. [br]Eine Abweichung von 2 ist im Vergleich zu 68 klein.
In der Tabelle werden der Erdumfang am Äquator und der Weg von Kiew nach Eisenstadt in km angegeben. [br]Es sind jeweils eine Schätzung, die genaue Länge und die Abweichung angegeben. [br][br][img]data:image/png;base64,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[/img][br][br]Andrei meint: Die Abschätzung für den Erdumfang ist genauer. [br]Begründe, wieso Andrei recht hat.
[br]Eine Abweichung von 75 km ist im Vergleich zu 40 000 km kleiner als eine Abweichung von 60 km im Vergleich zu 1 000 km. [br]Die Abschätzung für den Erdumfang ist daher genauer.