• tile-compare Rechenaufgabe - Rechnen mit negativen Zahlen
  • tilecompare
  • 26.01.2021
  • Mathematik
  • 5, 6
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  • Addition & Subtraktion

    Für den Fall, dass eine negative Zahl auf ein Rechenzeichen folgt, muss eine eigene Regel für die Ausgabe erstellt werden, welche die negative Zahl in Klammern setzt.

    1
    Berechne!
    • 5+(5)=10\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -5 + (-5) = \cloze{-10}
    • 9+(6)=15\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -9 + (-6) = \cloze{-15}
    • 6+7=1\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -6 + 7 = \cloze{1}
    • 6+(9)=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 6 + (-9) = \cloze{-3}
    • 2+(5)=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 2 + (-5) = \cloze{-3}
    • 10+7=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -10 + 7 = \cloze{-3}
    • 2+(6)=4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 2 + (-6) = \cloze{-4}
    • 1+4=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -1 + 4 = \cloze{3}
    2
    Berechne!
    • 10+(31)=41\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -10 + (-31) = \cloze{-41}
    • 68+35=33\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -68 + 35 = \cloze{-33}
    • 51+(88)=37\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 51 + (-88) = \cloze{-37}
    • 19+(91)=72\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 19 + (-91) = \cloze{-72}
    • 54+60=6\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -54 + 60 = \cloze{6}
    • 47+(46)=93\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -47 + (-46) = \cloze{-93}
    • 5+82=77\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -5 + 82 = \cloze{77}
    • 6+93=87\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -6 + 93 = \cloze{87}

    erweiterter Zahlenbereich

    3
    Berechne!
    • 10(3)=13\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 10 - (-3) = \cloze{13}
    • 2(5)=7\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 2 - (-5) = \cloze{7}
    • 5(6)=11\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 5 - (-6) = \cloze{11}
    • 7(5)=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -7 - (-5) = \cloze{-2}
    • 47=11\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -4 - 7 = \cloze{-11}
    • 9(5)=4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -9 - (-5) = \cloze{-4}
    • 3(4)=7\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 3 - (-4) = \cloze{7}
    • 4(2)=6\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 4 - (-2) = \cloze{6}
    4
    Berechne!
    • 22(59)=81\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 22 - (-59) = \cloze{81}
    • 96(19)=77\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -96 - (-19) = \cloze{-77}
    • 81(13)=94\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 81 - (-13) = \cloze{94}
    • 87(93)=180\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 87 - (-93) = \cloze{180}
    • 63(7)=70\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 63 - (-7) = \cloze{70}
    • 90(19)=71\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -90 - (-19) = \cloze{-71}
    • 9828=126\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -98 - 28 = \cloze{-126}
    • 78(94)=16\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -78 - (-94) = \cloze{16}
    5
    Berechne!
    • 7138=109\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -71 - 38 = \cloze{-109}
    • 68(66)=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -68 - (-66) = \cloze{-2}
    • 3419=53\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -34 - 19 = \cloze{-53}
    • 45+(67)=22\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 45 + (-67) = \cloze{-22}
    • 50+(53)=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 50 + (-53) = \cloze{-3}
    • 29+(24)=53\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -29 + (-24) = \cloze{-53}
    • 94+(87)=7\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 94 + (-87) = \cloze{7}
    • 59+96=37\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -59 + 96 = \cloze{37}

    Kombination der Aufgaben 1-4

  • Multiplikation & Division

    1
    Berechne!
    • 9(3)=27\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -9 \cdot (-3) = \cloze{27}
    • 7(1)=7\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 7 \cdot (-1) = \cloze{-7}
    • 4(10)=40\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 4 \cdot (-10) = \cloze{-40}
    • 22=4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -2 \cdot 2 = \cloze{-4}
    • 82=16\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -8 \cdot 2 = \cloze{-16}
    • 4(2)=8\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -4 \cdot (-2) = \cloze{8}
    • 69=54\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -6 \cdot 9 = \cloze{-54}
    • 4(9)=36\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -4 \cdot (-9) = \cloze{36}
    • 6(6)=36\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 6 \cdot (-6) = \cloze{-36}
    2
    Berechne!
    • 620=120\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -6 \cdot 20 = \cloze{-120}
    • 4(11)=44\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -4 \cdot (-11) = \cloze{44}
    • 410=40\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -4 \cdot 10 = \cloze{-40}
    • 4(17)=68\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -4 \cdot (-17) = \cloze{68}
    • 316=48\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -3 \cdot 16 = \cloze{-48}
    • 3(1)=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -3 \cdot (-1) = \cloze{3}
    • 20(5)=100\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 20 \cdot (-5) = \cloze{-100}
    • 515=75\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -5 \cdot 15 = \cloze{-75}
    • 2(9)=18\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 2 \cdot (-9) = \cloze{-18}

    Um sicherzustellen, dass bei der Division kein Rest bleibt, wird hier sozusagen rückwärts gerechnet, d.h. das Ergebnis wird gewürfelt und dann entsprechend multipliziert. Die Variablen und Berechnungsregeln sind dieselben wie bei den Aufgaben 1 und 2 - lediglich die Ausgabe ist anzupassen.

    3
    Berechne!
    • 27:(3)=9\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -27 : (-3) = \cloze{9}
    • 18:(9)=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -18 : (-9) = \cloze{2}
    • 54:9=6\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -54 : 9 = \cloze{-6}
    • 48:6=8\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -48 : 6 = \cloze{-8}
    • 10:(2)=5\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -10 : (-2) = \cloze{5}
    • 28:7=4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -28 : 7 = \cloze{-4}
    • 49:(7)=7\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 49 : (-7) = \cloze{-7}
    • 12:(6)=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 12 : (-6) = \cloze{-2}
    • 18:6=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -18 : 6 = \cloze{-3}
    4
    Berechne!
    • 90:10=9\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -90 : 10 = \cloze{-9}
    • 114:(6)=19\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 114 : (-6) = \cloze{-19}
    • 90:(6)=15\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 90 : (-6) = \cloze{-15}
    • 144:(9)=16\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -144 : (-9) = \cloze{16}
    • 14:(7)=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 14 : (-7) = \cloze{-2}
    • 160:(8)=20\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 160 : (-8) = \cloze{-20}
    • 48:16=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -48 : 16 = \cloze{-3}
    • 48:6=8\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -48 : 6 = \cloze{-8}
    • 10:(5)=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 10 : (-5) = \cloze{-2}
    5
    Berechne!
    • 3(16)=48\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -3 \cdot (-16) = \cloze{48}
    • 36:18=2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -36 : 18 = \cloze{-2}
    • 28:7=4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -28 : 7 = \cloze{-4}
    • 710=70\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -7 \cdot 10 = \cloze{-70}
    • 3:3=1\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -3 : 3 = \cloze{-1}
    • 51:(3)=17\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 51 : (-3) = \cloze{-17}
    • 6(2)=12\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 6 \cdot (-2) = \cloze{-12}
    • 9:(3)=3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 9 : (-3) = \cloze{-3}
    • 20:(4)=5\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 20 : (-4) = \cloze{-5}
  • 6
    Welche Zahl musst du...
    • von 1\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -1 subtrahieren, um 9\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -9 zu erhalten? 8\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{8}
    • zu 1\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -1 addieren, um 9\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 9 zu erhalten? 10\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{10}
    • von 3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 3 subtrahieren, um 5\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -5 zu erhalten? 8\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{8}
    • zu 10\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 10 addieren, um 6\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 6 zu erhalten? 4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{-4}
    • von 1\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -1 subtrahieren, um 4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 4 zu erhalten? 5\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{-5}
    • zu 9\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -9 addieren, um 0\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0 zu erhalten? 9\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{9}
    • zu 8\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -8 addieren, um 3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -3 zu erhalten? 5\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{5}
    • zu 4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -4 addieren, um 2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -2 zu erhalten? 2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{2}
    7
    Welche Zahl musst du...
    • zu 8\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 8 addieren, um 35\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -35 zu erhalten? 43\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{-43}
    • von 18\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -18 subtrahieren, um 21\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -21 zu erhalten? 3\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{3}
    • von 4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 4 subtrahieren, um 16\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -16 zu erhalten? 20\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{20}
    • zu 13\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -13 addieren, um 34\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 34 zu erhalten? 47\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{47}
    • von 12\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 12 subtrahieren, um 4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -4 zu erhalten? 16\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{16}
    • von 23\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -23 subtrahieren, um 11\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 11 zu erhalten? 34\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{-34}
    • von 36\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -36 subtrahieren, um 43\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} -43 zu erhalten? 7\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{7}
    • von 15\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 15 subtrahieren, um 41\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 41 zu erhalten? 26\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \cloze{-26}

    erweiterter Zahlenbereich