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# MathemaTriX ⋅ Zahlenmengen

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1.  Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \mathbb {N} }$ ${\displaystyle \mathbb {Z} }$ ${\displaystyle \mathbb {Q} }$ ${\displaystyle \mathbb {I} }$ ${\displaystyle \mathbb {R} }$ ${\displaystyle \textstyle {\frac {5}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {26}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {\sqrt {5}}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {7}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle -{\sqrt {196}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {-4}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {169}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {26}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$
Antwort
 Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \ \ \ \mathbb {N} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Z} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Q} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {I} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {R} \ \ \ }$ ${\displaystyle \textstyle {\frac {5}{13}}}$ ✘ ✘ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {26}{13}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {\sqrt {5}}{13}}}$ ✘ ✘ ✘ ✔ ✔ ${\displaystyle {\sqrt {7}}}$ ✘ ✘ ✘ ✔ ✔ ${\displaystyle -{\sqrt {196}}}$ ✘ ✔ ✔ ✘ ✔ ${\displaystyle {\sqrt {-4}}}$ ✘ ✘ ✘ ✘ ✘ ${\displaystyle {\sqrt {169}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {26}{13}}}$ ✘ ✔ ✔ ✘ ✔

1.  Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \mathbb {N} }$ ${\displaystyle \mathbb {Z} }$ ${\displaystyle \mathbb {Q} }$ ${\displaystyle \mathbb {I} }$ ${\displaystyle \mathbb {R} }$ ${\displaystyle \textstyle +{\frac {\sqrt {0{,}25}}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {33}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle -{\sqrt {441}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {-9}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle 6}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {\sqrt {11}}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {65}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {8}{4}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$
Antwort
 Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \ \ \ \mathbb {N} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Z} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Q} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {I} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {R} \ \ \ }$ ${\displaystyle \textstyle {\frac {\sqrt {0{,}25}}{13}}}$ ✘ ✘ ✔ ✘ ✔ ${\displaystyle \textstyle {\sqrt {33}}}$ ✘ ✘ ✘ ✔ ✔ ${\displaystyle \textstyle -{\sqrt {441}}}$ ✘ ✔ ✔ ✘ ✔ ${\displaystyle {\sqrt {-9}}}$ ✘ ✘ ✘ ✘ ✘ ${\displaystyle 6}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {\sqrt {11}}{13}}}$ ✘ ✘ ✘ ✔ ✔ ${\displaystyle \textstyle {\frac {65}{13}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {8}{4}}}$ ✘ ✔ ✔ ✘ ✔

1.  Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \mathbb {N} }$ ${\displaystyle \mathbb {Z} }$ ${\displaystyle \mathbb {Q} }$ ${\displaystyle \mathbb {I} }$ ${\displaystyle \mathbb {R} }$ ${\displaystyle {\sqrt {144}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle +{\frac {39}{3}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {13}{6{,}5}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {\sqrt {81}}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {\sqrt {8}}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {289}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle -{\sqrt {-6}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {4}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$
Antwort
 Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \ \ \ \mathbb {N} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Z} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Q} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {I} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {R} \ \ \ }$ ${\displaystyle {\sqrt {144}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle +{\frac {39}{3}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {13}{6{,}5}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {\sqrt {81}}{13}}}$ ✘ ✘ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {\sqrt {8}}{13}}}$ ✘ ✘ ✘ ✔ ✔ ${\displaystyle {\sqrt {289}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle -{\sqrt {-6}}}$ ✘ ✘ ✘ ✘ ✘ ${\displaystyle {\sqrt {4}}}$ ✔ ✔ ✔ ✘ ✔

1.  Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \mathbb {N} }$ ${\displaystyle \mathbb {Z} }$ ${\displaystyle \mathbb {Q} }$ ${\displaystyle \mathbb {I} }$ ${\displaystyle \mathbb {R} }$ ${\displaystyle \textstyle {\frac {0{,}5}{\sqrt {0{,}0625}}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {38}{3}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {52}{1{,}3}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {\sqrt {169}}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {\sqrt {-9}}{13}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {28}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle -{\sqrt {(-25)(-4)}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {18}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$
Antwort
 Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \ \ \ \mathbb {N} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Z} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Q} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {I} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {R} \ \ \ }$ ${\displaystyle \textstyle {\frac {0{,}5}{\sqrt {0{,}0625}}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {38}{3}}}$ ✘ ✘ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {52}{1{,}3}}}$ ✘ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {\sqrt {169}}{13}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {\sqrt {-9}}{13}}}$ ✘ ✘ ✘ ✘ ✘ ${\displaystyle 28}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle -{\sqrt {(-25)(-4)}}}$ ✘ ✔ ✔ ✘ ✔ ${\displaystyle {\sqrt {18}}}$ ✘ ✘ ✘ ✔ ✔

1.  Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \mathbb {N} }$ ${\displaystyle \mathbb {Z} }$ ${\displaystyle \mathbb {Q} }$ ${\displaystyle \mathbb {I} }$ ${\displaystyle \mathbb {R} }$ ${\displaystyle \textstyle {\frac {11}{7}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {28}{7}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {\sqrt {7}}{15}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {15}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle -{\sqrt {625}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {-121}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {256}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {45}{15}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$
Antwort
 Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \ \ \ \mathbb {N} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Z} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Q} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {I} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {R} \ \ \ }$ ${\displaystyle \textstyle {\frac {11}{7}}}$ ✘ ✘ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {28}{7}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {\sqrt {7}}{15}}}$ ✘ ✘ ✘ ✔ ✔ ${\displaystyle {\sqrt {15}}}$ ✘ ✘ ✘ ✔ ✔ ${\displaystyle -{\sqrt {625}}}$ ✘ ✔ ✔ ✘ ✔ ${\displaystyle {\sqrt {-121}}}$ ✘ ✘ ✘ ✘ ✘ ${\displaystyle {\sqrt {256}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {45}{15}}}$ ✘ ✔ ✔ ✘ ✔

1.  Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \mathbb {N} }$ ${\displaystyle \mathbb {Z} }$ ${\displaystyle \mathbb {Q} }$ ${\displaystyle \mathbb {I} }$ ${\displaystyle \mathbb {R} }$ ${\displaystyle {\sqrt {81}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle +{\frac {70}{5}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {23}{11{,}5}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {\sqrt {144}}{12}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {\sqrt {27}}{9}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {324}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle -{\sqrt {-35}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {49}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$
Antwort
 Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \ \ \ \mathbb {N} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Z} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Q} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {I} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {R} \ \ \ }$ ${\displaystyle \textstyle {\frac {\sqrt {0{,}09}}{11}}}$ ✘ ✘ ✔ ✘ ✔ ${\displaystyle \textstyle {\sqrt {70}}}$ ✘ ✘ ✘ ✔ ✔ ${\displaystyle \textstyle -{\sqrt {1600}}}$ ✘ ✔ ✔ ✘ ✔ ${\displaystyle {\sqrt {-25}}}$ ✘ ✘ ✘ ✘ ✘ ${\displaystyle 6}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {\sqrt {33}}{33}}}$ ✘ ✘ ✘ ✔ ✔ ${\displaystyle \textstyle {\frac {60}{12}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {33}{11}}}$ ✘ ✔ ✔ ✘ ✔

1.  Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \mathbb {N} }$ ${\displaystyle \mathbb {Z} }$ ${\displaystyle \mathbb {Q} }$ ${\displaystyle \mathbb {I} }$ ${\displaystyle \mathbb {R} }$ ${\displaystyle \textstyle +{\frac {\sqrt {0{,}09}}{11}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {70}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle -{\sqrt {1600}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {-25}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle 6}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {\sqrt {33}}{33}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {60}{12}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {33}{11}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$
Antwort
 Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \ \ \ \mathbb {N} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Z} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Q} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {I} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {R} \ \ \ }$ ${\displaystyle {\sqrt {81}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle +{\frac {70}{5}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {23}{11{,}5}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {\sqrt {144}}{12}}}$ ✘ ✘ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {\sqrt {27}}{9}}}$ ✘ ✘ ✘ ✔ ✔ ${\displaystyle {\sqrt {324}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle -{\sqrt {-35}}}$ ✘ ✘ ✘ ✘ ✘ ${\displaystyle {\sqrt {49}}}$ ✔ ✔ ✔ ✘ ✔

1.  Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \mathbb {N} }$ ${\displaystyle \mathbb {Z} }$ ${\displaystyle \mathbb {Q} }$ ${\displaystyle \mathbb {I} }$ ${\displaystyle \mathbb {R} }$ ${\displaystyle \textstyle -{\frac {0{,}2}{\sqrt {0{,}01}}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {45}{6}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle -{\frac {42}{1{,}4}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {\sqrt {289}}{17}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \textstyle {\frac {\sqrt {-16}}{4}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {41}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle -{\sqrt {(-16)(-9)}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle {\sqrt {12}}}$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$ ${\displaystyle \quad }$
Antwort
 Zur welchen Zahlenmengen gehören folgende Zahlen? ${\displaystyle \quad }$ ${\displaystyle \ \ \ \mathbb {N} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Z} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {Q} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {I} \ \ \ }$ ${\displaystyle \ \ \ \mathbb {R} \ \ \ }$ ${\displaystyle \textstyle {\frac {0{,}2}{\sqrt {0{,}01}}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {45}{6}}}$ ✘ ✘ ✔ ✘ ✔ ${\displaystyle \textstyle -{\frac {42}{1{,}4}}}$ ✘ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {\sqrt {289}}{17}}}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle \textstyle {\frac {\sqrt {-16}}{4}}}$ ✘ ✘ ✘ ✘ ✘ ${\displaystyle 41}$ ✔ ✔ ✔ ✘ ✔ ${\displaystyle -{\sqrt {(-16)(-9)}}}$ ✘ ✔ ✔ ✘ ✔ ${\displaystyle {\sqrt {12}}}$ ✘ ✘ ✘ ✔ ✔

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