• Prozentzahlen
  • ttry-Katalog
  • 06.10.2020
  • Mathematik
  • 5, 6
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ttry-Katalog

Prozentzahlen und Dezimalzahlen

1
Fülle die Lücken.
  • 0,5=50%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \cloze{0{,}5} = 5 0 \%
  • 0,7=70%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}7 = \cloze{7 0} \%
  • 0,8=80%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \cloze{0{,}8} = 8 0 \%
  • 0,3=30%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \cloze{0{,}3} = 3 0 \%
  • 0,5=50%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}5 = \cloze{5 0} \%
  • 0,2=20%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}2 = \cloze{2 0} \%
  • 0,6=60%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}6 = \cloze{6 0} \%
  • 0,4=40%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}4 = \cloze{4 0} \%
  • 0,9=90%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \cloze{0{,}9} = 9 0 \%
2
Schreibe als Prozentzahl.
  • 0,01=1%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}01 = \cloze{1} \%
  • 0,05=5%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}05 = \cloze{5} \%
  • 0,88=88%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}88 = \cloze{88} \%
  • 0,65=65%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}65 = \cloze{65} \%
  • 0,84=84%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}84 = \cloze{84} \%
  • 0,04=4%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}04 = \cloze{4} \%

Hier kommen zunächst nur ganze Prozentzahlen vor. Durch die beiden Textausgaben lassen sich ein- und zweistellige Prozentzahlen mit gleicher Wahrscheinlichkeit generieren.

3
Schreibe als Kommazahl.
  • 8%=0,08\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 8 \% = \cloze{0{,}08}
  • 4%=0,04\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 4 \% = \cloze{0{,}04}
  • 9%=0,09\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 9 \% = \cloze{0{,}09}
  • 63%=0,63\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 63 \% = \cloze{0{,}63}
  • 74%=0,74\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 74 \% = \cloze{0{,}74}
  • 85%=0,85\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 85 \% = \cloze{0{,}85}
4
Schreibe als Prozentzahl.
  • 0,839=83,9%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}839 = \cloze{83{,}9} \%
  • 0,9754=97,54%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}9754 = \cloze{97{,}54} \%
  • 0,5991=59,91%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}5991 = \cloze{59{,}91} \%
  • 0,0878=8,78%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}0878 = \cloze{8{,}78} \%
  • 0,668=66,8%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}668 = \cloze{66{,}8} \%
  • 0,032=3,2%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}032 = \cloze{3{,}2} \%
  • 0,816=81,6%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}816 = \cloze{81{,}6} \%
  • 0,028=2,8%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}028 = \cloze{2{,}8} \%

Hier werden die Prozentzahlen gebrochen ausgegeben.

5
Schreibe als Dezimalzahl.
  • 4,63%=0,0463\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 4{,}63 \% = \cloze{0{,}0463}
  • 93,3%=0,933\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 93{,}3 \% = \cloze{0{,}933}
  • 7,3%=0,073\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 7{,}3 \% = \cloze{0{,}073}
  • 3,64%=0,0364\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 3{,}64 \% = \cloze{0{,}0364}
  • 16,6%=0,166\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 16{,}6 \% = \cloze{0{,}166}
  • 69,67%=0,6967\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 69{,}67 \% = \cloze{0{,}6967}
  • 37,1%=0,371\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 37{,}1 \% = \cloze{0{,}371}
  • 72,54%=0,7254\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 72{,}54 \% = \cloze{0{,}7254}

Man beachte die angepassten Nachkommastellen bei den #d-Variablen.

ttry-Katalog

Prozentzahlen und Brüche

6
Schreibe als Prozentzahl.
  • 710=70%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{7}{10} = \cloze{7 0} \%
  • 210=20%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{2}{10} = \cloze{2 0} \%
  • 110=10%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{1}{10} = \cloze{1 0} \%
  • 910=90%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{9}{10} = \cloze{9 0} \%
  • 810=80%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{8}{10} = \cloze{8 0} \%
  • 410=40%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{4}{10} = \cloze{4 0} \%

Die Prozentzahlen in den nächsten beiden Aufgaben sind entweder Vielfache von 5 oder von 2. Dadurch können die Brüche in jedem Fall gekürzt werden.

7
Schreibe die Prozentzahl zunächst als Dezimalbruch und kürze dann soweit wie möglich.
  • 42%=42100=2150\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 42 \% = \frac{ \cloze{42} }{100} = \cloze{ \frac{21}{50} }
  • 10%=10100=110\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 10 \% = \frac{ \cloze{10} }{100} = \cloze{ \frac{1}{10} }
  • 55%=55100=1120\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 55 \% = \frac{ \cloze{55} }{100} = \cloze{ \frac{11}{20} }
  • 80%=80100=45\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 80 \% = \frac{ \cloze{80} }{100} = \cloze{ \frac{4}{5} }
  • 34%=34100=1750\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 34 \% = \frac{ \cloze{34} }{100} = \cloze{ \frac{17}{50} }
  • 32%=32100=825\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 32 \% = \frac{ \cloze{32} }{100} = \cloze{ \frac{8}{25} }
  • 56%=56100=1425\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 56 \% = \frac{ \cloze{56} }{100} = \cloze{ \frac{14}{25} }
  • 65%=65100=1320\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 65 \% = \frac{ \cloze{65} }{100} = \cloze{ \frac{13}{20} }
  • 20%=20100=15\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 20 \% = \frac{ \cloze{20} }{100} = \cloze{ \frac{1}{5} }
8
Erweitere den Bruch zunächst auf Hundertstel und schreibe dann als Prozentzahl.
  • 1320=65100=65%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{13}{20} = \frac{ \cloze{65} }{100} = \cloze{65} \%
  • 320=15100=15%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{3}{20} = \frac{ \cloze{15} }{100} = \cloze{15} \%
  • 110=10100=10%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{1}{10} = \frac{ \cloze{10} }{100} = \cloze{10} \%
  • 1720=85100=85%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{17}{20} = \frac{ \cloze{85} }{100} = \cloze{85} \%
  • 120=5100=5%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{1}{20} = \frac{ \cloze{5} }{100} = \cloze{5} \%
  • 14=25100=25%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{1}{4} = \frac{ \cloze{25} }{100} = \cloze{25} \%
  • 2325=92100=92%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{23}{25} = \frac{ \cloze{92} }{100} = \cloze{92} \%
  • 15=20100=20%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{1}{5} = \frac{ \cloze{20} }{100} = \cloze{20} \%
  • 25=40100=40%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{2}{5} = \frac{ \cloze{40} }{100} = \cloze{40} \%