MathemaTriX ⋅ Zahlenmengen

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Zu welchen Zahlenmengen gehören folgende Zahlen?

$\quad$	$\mathbb {N}$	$\mathbb {Z}$	$\mathbb {Q}$	$\mathbb {I}$	$\mathbb {R}$
$\textstyle {\frac {5}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {26}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {\sqrt {5}}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {7}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$-{\sqrt {196}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {-4}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {169}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {26}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$

Antwort

$\quad$	$\ \ \ \mathbb {N} \ \ \$	$\ \ \ \mathbb {Z} \ \ \$	$\ \ \ \mathbb {Q} \ \ \$	$\ \ \ \mathbb {I} \ \ \$	$\ \ \ \mathbb {R} \ \ \$
$\textstyle {\frac {5}{13}}$	✘	✘	✔	✘	✔
$\textstyle {\frac {26}{13}}$	✔	✔	✔	✘	✔
$\textstyle -{\frac {\sqrt {5}}{13}}$	✘	✘	✘	✔	✔
${\sqrt {7}}$	✘	✘	✘	✔	✔
$-{\sqrt {196}}$	✘	✔	✔	✘	✔
${\sqrt {-4}}$	✘	✘	✘	✘	✘
${\sqrt {169}}$	✔	✔	✔	✘	✔
$\textstyle -{\frac {26}{13}}$	✘	✔	✔	✘	✔

Zu welchen Zahlenmengen gehören folgende Zahlen?

$\quad$	$\mathbb {N}$	$\mathbb {Z}$	$\mathbb {Q}$	$\mathbb {I}$	$\mathbb {R}$
$\textstyle +{\frac {\sqrt {0{,}25}}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {33}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$-{\sqrt {441}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {-9}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$6$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {\sqrt {11}}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {65}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {8}{4}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$

Antwort

$\quad$	$\ \ \ \mathbb {N} \ \ \$	$\ \ \ \mathbb {Z} \ \ \$	$\ \ \ \mathbb {Q} \ \ \$	$\ \ \ \mathbb {I} \ \ \$	$\ \ \ \mathbb {R} \ \ \$
$\textstyle {\frac {\sqrt {0{,}25}}{13}}$	✘	✘	✔	✘	✔
$\textstyle {\sqrt {33}}$	✘	✘	✘	✔	✔
$\textstyle -{\sqrt {441}}$	✘	✔	✔	✘	✔
${\sqrt {-9}}$	✘	✘	✘	✘	✘
$6$	✔	✔	✔	✘	✔
$\textstyle {\frac {\sqrt {11}}{13}}$	✘	✘	✘	✔	✔
$\textstyle {\frac {65}{13}}$	✔	✔	✔	✘	✔
$\textstyle -{\frac {8}{4}}$	✘	✔	✔	✘	✔

Zu welchen Zahlenmengen gehören folgende Zahlen?

$\quad$	$\mathbb {N}$	$\mathbb {Z}$	$\mathbb {Q}$	$\mathbb {I}$	$\mathbb {R}$
${\sqrt {144}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle +{\frac {39}{3}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {13}{6{,}5}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {\sqrt {81}}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {\sqrt {8}}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {289}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$-{\sqrt {-6}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {4}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$

Antwort

$\quad$	$\ \ \ \mathbb {N} \ \ \$	$\ \ \ \mathbb {Z} \ \ \$	$\ \ \ \mathbb {Q} \ \ \$	$\ \ \ \mathbb {I} \ \ \$	$\ \ \ \mathbb {R} \ \ \$
${\sqrt {144}}$	✔	✔	✔	✘	✔
$\textstyle +{\frac {39}{3}}$	✔	✔	✔	✘	✔
$\textstyle {\frac {13}{6{,}5}}$	✔	✔	✔	✘	✔
$\textstyle -{\frac {\sqrt {81}}{13}}$	✘	✘	✔	✘	✔
$\textstyle {\frac {\sqrt {8}}{13}}$	✘	✘	✘	✔	✔
${\sqrt {289}}$	✔	✔	✔	✘	✔
$-{\sqrt {-6}}$	✘	✘	✘	✘	✘
${\sqrt {4}}$	✔	✔	✔	✘	✔

Zu welchen Zahlenmengen gehören folgende Zahlen?

$\quad$	$\mathbb {N}$	$\mathbb {Z}$	$\mathbb {Q}$	$\mathbb {I}$	$\mathbb {R}$
$\textstyle {\frac {0{,}5}{\sqrt {0{,}0625}}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {38}{3}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {52}{1{,}3}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {\sqrt {169}}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {\sqrt {-9}}{13}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${28}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$-{\sqrt {(-25)(-4)}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {18}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$

Antwort

$\quad$	$\ \ \ \mathbb {N} \ \ \$	$\ \ \ \mathbb {Z} \ \ \$	$\ \ \ \mathbb {Q} \ \ \$	$\ \ \ \mathbb {I} \ \ \$	$\ \ \ \mathbb {R} \ \ \$
$\textstyle {\frac {0{,}5}{\sqrt {0{,}0625}}}$	✔	✔	✔	✘	✔
$\textstyle -{\frac {38}{3}}$	✘	✘	✔	✘	✔
$\textstyle -{\frac {52}{1{,}3}}$	✘	✔	✔	✘	✔
$\textstyle {\frac {\sqrt {169}}{13}}$	✔	✔	✔	✘	✔
$\textstyle {\frac {\sqrt {-9}}{13}}$	✘	✘	✘	✘	✘
$28$	✔	✔	✔	✘	✔
$-{\sqrt {(-25)(-4)}}$	✘	✔	✔	✘	✔
${\sqrt {18}}$	✘	✘	✘	✔	✔

Zu welchen Zahlenmengen gehören folgende Zahlen?

$\quad$	$\mathbb {N}$	$\mathbb {Z}$	$\mathbb {Q}$	$\mathbb {I}$	$\mathbb {R}$
$\textstyle {\frac {11}{7}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {28}{7}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {\sqrt {7}}{15}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {15}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$-{\sqrt {625}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {-121}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {256}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {45}{15}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$

Antwort

$\quad$	$\ \ \ \mathbb {N} \ \ \$	$\ \ \ \mathbb {Z} \ \ \$	$\ \ \ \mathbb {Q} \ \ \$	$\ \ \ \mathbb {I} \ \ \$	$\ \ \ \mathbb {R} \ \ \$
$\textstyle {\frac {11}{7}}$	✘	✘	✔	✘	✔
$\textstyle {\frac {28}{7}}$	✔	✔	✔	✘	✔
$\textstyle -{\frac {\sqrt {7}}{15}}$	✘	✘	✘	✔	✔
${\sqrt {15}}$	✘	✘	✘	✔	✔
$-{\sqrt {625}}$	✘	✔	✔	✘	✔
${\sqrt {-121}}$	✘	✘	✘	✘	✘
${\sqrt {256}}$	✔	✔	✔	✘	✔
$\textstyle -{\frac {45}{15}}$	✘	✔	✔	✘	✔

Zu welchen Zahlenmengen gehören folgende Zahlen?

$\quad$	$\mathbb {N}$	$\mathbb {Z}$	$\mathbb {Q}$	$\mathbb {I}$	$\mathbb {R}$
${\sqrt {81}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle +{\frac {70}{5}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {23}{11{,}5}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {\sqrt {144}}{12}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {\sqrt {27}}{9}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {324}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$-{\sqrt {-35}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {49}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$

Antwort

$\quad$	$\ \ \ \mathbb {N} \ \ \$	$\ \ \ \mathbb {Z} \ \ \$	$\ \ \ \mathbb {Q} \ \ \$	$\ \ \ \mathbb {I} \ \ \$	$\ \ \ \mathbb {R} \ \ \$
$\textstyle {\frac {\sqrt {0{,}09}}{11}}$	✘	✘	✔	✘	✔
$\textstyle {\sqrt {70}}$	✘	✘	✘	✔	✔
$\textstyle -{\sqrt {1600}}$	✘	✔	✔	✘	✔
${\sqrt {-25}}$	✘	✘	✘	✘	✘
$6$	✔	✔	✔	✘	✔
$\textstyle {\frac {\sqrt {33}}{33}}$	✘	✘	✘	✔	✔
$\textstyle {\frac {60}{12}}$	✔	✔	✔	✘	✔
$\textstyle -{\frac {33}{11}}$	✘	✔	✔	✘	✔

Zu welchen Zahlenmengen gehören folgende Zahlen?

$\quad$	$\mathbb {N}$	$\mathbb {Z}$	$\mathbb {Q}$	$\mathbb {I}$	$\mathbb {R}$
$\textstyle +{\frac {\sqrt {0{,}09}}{11}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {70}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$-{\sqrt {1600}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {-25}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$6$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {\sqrt {33}}{33}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {60}{12}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {33}{11}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$

Antwort

$\quad$	$\ \ \ \mathbb {N} \ \ \$	$\ \ \ \mathbb {Z} \ \ \$	$\ \ \ \mathbb {Q} \ \ \$	$\ \ \ \mathbb {I} \ \ \$	$\ \ \ \mathbb {R} \ \ \$
${\sqrt {81}}$	✔	✔	✔	✘	✔
$\textstyle +{\frac {70}{5}}$	✔	✔	✔	✘	✔
$\textstyle {\frac {23}{11{,}5}}$	✔	✔	✔	✘	✔
$\textstyle -{\frac {\sqrt {144}}{12}}$	✘	✘	✔	✘	✔
$\textstyle {\frac {\sqrt {27}}{9}}$	✘	✘	✘	✔	✔
${\sqrt {324}}$	✔	✔	✔	✘	✔
$-{\sqrt {-35}}$	✘	✘	✘	✘	✘
${\sqrt {49}}$	✔	✔	✔	✘	✔

Zu welchen Zahlenmengen gehören folgende Zahlen?

$\quad$	$\mathbb {N}$	$\mathbb {Z}$	$\mathbb {Q}$	$\mathbb {I}$	$\mathbb {R}$
$\textstyle -{\frac {0{,}2}{\sqrt {0{,}01}}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {45}{6}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle -{\frac {42}{1{,}4}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {\sqrt {289}}{17}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$\textstyle {\frac {\sqrt {-16}}{4}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${41}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
$-{\sqrt {(-16)(-9)}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$
${\sqrt {12}}$	$\quad$	$\quad$	$\quad$	$\quad$	$\quad$

Antwort

$\quad$	$\ \ \ \mathbb {N} \ \ \$	$\ \ \ \mathbb {Z} \ \ \$	$\ \ \ \mathbb {Q} \ \ \$	$\ \ \ \mathbb {I} \ \ \$	$\ \ \ \mathbb {R} \ \ \$
$\textstyle {\frac {0{,}2}{\sqrt {0{,}01}}}$	✔	✔	✔	✘	✔
$\textstyle -{\frac {45}{6}}$	✘	✘	✔	✘	✔
$\textstyle -{\frac {42}{1{,}4}}$	✘	✔	✔	✘	✔
$\textstyle {\frac {\sqrt {289}}{17}}$	✔	✔	✔	✘	✔
$\textstyle {\frac {\sqrt {-16}}{4}}$	✘	✘	✘	✘	✘
$41$	✔	✔	✔	✘	✔
$-{\sqrt {(-16)(-9)}}$	✘	✔	✔	✘	✔
${\sqrt {12}}$	✘	✘	✘	✔	✔

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