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| − | ==<font color="orange">Aufgabe zu Potenzen</font>==
| + | ...bitte auf der Seite [[Jahr der Mathematik/Potenzen|Potenzen]] weiterarbeiten! |
| − | ''<font color="dark brown">(Lösung durch Markieren des grauen Feldes sichtbar machen!)</font>''
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| − | ''<font color="grey">'''Wenn auf dem ersten Feld ein 1ct Stück und es sich immer verdoppelt.'''</font>''
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| − | '''Frage a):'''Wie viele 1ct Stücke liegen auf dem 25. Feld?
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| − | '''Frage b):'''Wie viele Euro und Cent liegen auf allen Feldern?
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| − | '''Frage c):'''Wenn man die 1ct Stücke vom 25. Feld stabelt und jedes 1,7mm dick ist.Wie hoch ist der Stapel?
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| − | '''Frage d):'''Wenn ein 1ct Stück 2,3g wiegt,wie viele Tonnen,Kilogramm,Gramm wiegen die 1ct Stücke auf dem 25. Feld?
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| − | '''Lösung a)'''=Tabelle gantz rechtes unteres Ergebnis
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| − | '''Lösung b)'''<u style="color:#F34F55;background:#F34F55"> 335544,33Euro </u>
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| − | '''Lösung c)'''<u style="color:#F34F55;background:#F34F55"> 28km,521m,26cm,7mm </u>
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| − | '''Lösung d)'''<u style="color:#F34F55;background:#F34F55"> 38t,587kg,596g </u>
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| − | ''(ist verkleichbar mit einem Kampfpanzer)''
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| − | {| style="background-color:#F4A460; spacing:0em; padding:0em"
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | [[Bild:Centstück 100.jpg]]
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey">2 Cent</u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey">4 Cent</u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey">8 Cent</u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 16Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 32Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 64Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 128Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 256Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 512Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 1024Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 2048Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 4096Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 8192Cent </u></center>
| + | |
| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 16384Cent </u></center>
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| − | |-
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 32768Cent </u></center>
| + | |
| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 65536Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 131072Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 262144Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 524288Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 1048576Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 2097152Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 4194304Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 8388608Cent </u></center>
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| − | | width="100px" height="100px" style="background-color:#FFFFFF"|
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| − | <center><u style="color:lightgrey;background:lightgrey"> 16777216Cent </u></center>
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| − | == Hinweise zu Lösungenvon der Aufgabe ==
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| − | '''Potenzenschreibweiße: '''um das Ergbnis auf dem 25.Feld zu erhalten:'''2<small><sup>24</sup></small>'''
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| − | '''Trick:'''um das Ergbnis von den Münzen auf dem Brett zu erhalten:'''2<small><sup>24</sup></small> * 2 - 1'''
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