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Home » Solve: \(x = 1.5\). - Get link 4share

Solve: \(x = 1.5\). - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \left\lceil \frac{10000}{11} \right\rceil = \left\lceil 909.\overline{09} \right\rceil = 910, \quad \text{also} \quad 11 \times 910 = 10010.

📌 Die größte 5-stellige Zahl ist 99999. Wir finden die größte durch 11 teilbare Zahl:

📌 \left\lfloor \frac{99999}{11} \right\rfloor = \left\lfloor 9090.8181\ldots \right\rfloor = 9090, \quad \text{also} \quad 11 \times 9090 = 99990.

📌 Die Zahlen, die durch 11 von 10010 bis 99990 teilbar sind, bilden eine arithmetische Folge mit Differenz 11. Die Anzahl der Terme ist:

📌 \frac{99990 - 10010}{11} + 1 = \frac{89980}{11} + 1 = 8180 + 1 = 8181.

📌 Somit gibt es \(\boxed{8181}\) positive 5-stellige Zahlen, die durch 11 teilbar sind.

📌 Frage: Ein Wissenschaftler misst zwei Drahtstücke: Eine ist 3,2 cm lang und die andere 7,8 cm lang. Wie lang ist die durchschnittliche Länge der beiden Stücke in Zentimetern?

📌 Lösung: Um die durchschnittliche Länge zu finden, addieren wir die Längen und teilen durch die Anzahl der Stücke:

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