• Große natürliche Zahlen
  • ttry-Katalog
  • 06.10.2020
  • Mathematik
  • 6, 5
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  • 1
    Wie viel fehlt bis zu einer Milliarde?
    • 511000000489000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 511000000 \quad \cloze{489000000}
    • 134000000866000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 134000000 \quad \cloze{866000000}
    • 126000000874000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 126000000 \quad \cloze{874000000}
    • 98300000017000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 983000000 \quad \cloze{17000000}
    • 562000000438000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 562000000 \quad \cloze{438000000}
    • 874000000126000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 874000000 \quad \cloze{126000000}
    2
    Verdoppele die Zahlen!
    • 6300000002=1260000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 630000000 \cdot 2 = \cloze{1260000000}
    • 24340000002=4868000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 2434000000 \cdot 2 = \cloze{4868000000}
    • 41820000002=8364000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 4182000000 \cdot 2 = \cloze{8364000000}
    • 4520000002=904000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 452000000 \cdot 2 = \cloze{904000000}
    • 71930000002=14386000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 7193000000 \cdot 2 = \cloze{14386000000}
    3
    Schreibe für jede Zahl den Vorgänger und den Nachfolger auf.
    • 423467999423468000423468001\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{423467999} \quad 423468000 \quad \cloze{423468001}
    • 315759803157598131575982\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{31575980} \quad 31575981 \quad \cloze{31575982}
    • 891739399989173940008917394001\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{8917393999} \quad 8917394000 \quad \cloze{8917394001}
    • 437700299943770030004377003001\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{4377002999} \quad 4377003000 \quad \cloze{4377003001}
    • 901058469010584790105848\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{90105846} \quad 90105847 \quad \cloze{90105848}
    • 311939508031193950813119395082\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{3119395080} \quad 3119395081 \quad \cloze{3119395082}
    • 174543720001745437200117454372002\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{17454372000} \quad 17454372001 \quad \cloze{17454372002}

    Die dritte Textausgabe gibt immer ein Vielfaches von 1.000 aus.

    4
    Halbiere die Zahlen!
    • 204000000:2=102000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 204000000 : 2 = \cloze{102000000}
    • 7170000000:2=3585000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 7170000000 : 2 = \cloze{3585000000}
    • 86000000:2=43000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 86000000 : 2 = \cloze{43000000}
    • 496000000:2=248000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 496000000 : 2 = \cloze{248000000}
    • 3563000000:2=1781500000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 3563000000 : 2 = \cloze{1781500000}
  • 5
    Schreibe die Zahlen mit Zehnerpotenzen.
    • 3030000=303104\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 3030000 = \cloze{303} \cdot 10^\cloze{4}
    • 80000000=8107\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 80000000 = \cloze{8} \cdot 10^\cloze{7}
    • 2560000000=256107\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 2560000000 = \cloze{256} \cdot 10^\cloze{7}
    • 14000000=14106\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 14000000 = \cloze{14} \cdot 10^\cloze{6}
    • 1810000000=181107\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 1810000000 = \cloze{181} \cdot 10^\cloze{7}
    • 320000000=32107\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 320000000 = \cloze{32} \cdot 10^\cloze{7}
    • 661000000=661106\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 661000000 = \cloze{661} \cdot 10^\cloze{6}
    • 1200000000=12108\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 1200000000 = \cloze{12} \cdot 10^\cloze{8}
    6
    Schreibe die Zahl aus!
    • 67107=670000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 67 \cdot 10^{7} = \cloze{670000000}
    • 4105=400000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 4 \cdot 10^{5} = \cloze{400000}
    • 13106=13000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 13 \cdot 10^{6} = \cloze{13000000}
    • 16104=160000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 16 \cdot 10^{4} = \cloze{160000}
    • 83104=830000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 83 \cdot 10^{4} = \cloze{830000}
    • 3105=300000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 3 \cdot 10^{5} = \cloze{300000}
    • 67106=67000000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 67 \cdot 10^{6} = \cloze{67000000}
    • 58104=580000\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 58 \cdot 10^{4} = \cloze{580000}

    Bei dieser Aufgabe werden zwei jeweils zwei Variablen (#a und #b bzw. #a1 und #b1) gewürfelt, deren Summe 10.000 nicht überschreiten soll. Dabei wurden unterschiedliche Zahlenbereiche gewählt, um die Ausgaben variabler zu gestalten.

    7
    Finde die richtige Zahl!
    • Welche Zahl muss man zu 3600\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 3600 addieren, um 4442\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 4442 zu erhalten? 842\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{842}
    • Von welcher Zahl muss man 4101\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 4101 subtrahieren um 1511\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 1511 zu erhalten? 5612\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{5612}
    • Welche Zahl muss man zu 48\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 48 addieren, um 6094\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 6094 zu erhalten? 6046\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{6046}
    • Von welcher Zahl muss man 722\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 722 subtrahieren um 4903\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 4903 zu erhalten? 5625\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{5625}
    • Welche Zahl muss man zu 4911\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 4911 addieren, um 6961\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 6961 zu erhalten? 2050\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{2050}
    • Welche Zahl muss man zu 1540\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 1540 addieren, um 1853\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 1853 zu erhalten? 313\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{313}
    • Von welcher Zahl muss man 988\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 988 subtrahieren um 648\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 648 zu erhalten? 1636\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{1636}
    • Welche Zahl muss man zu 288\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 288 addieren, um 3045\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 3045 zu erhalten? 2757\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{2757}