• Prozentzahlen - H
  • anonym
  • 10.02.2022
  • Mathematik
  • 5, 6
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Merke:

45100=45%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{45}{100} = 45\%


7100=7%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{7}{100} = 7\%


410\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{4}{10} = 40100=40%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{40}{100} = 40\%

Die Zahlen hier sind immer durch 2 oder durch 5 teilbar. Eventuell auch mehrmals!

Prozentzahlen und Brüche

1
Schreibe als Prozentzahl.
  • 14100=14%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{14}{100} = \cloze{14} \%
  • 910=90%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{9}{10} = \cloze{9 0} \%
  • 40100=40%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{40}{100} = \cloze{40} \%
  • 710=70%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{7}{10} = \cloze{7 0} \%
  • 19100=19%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{19}{100} = \cloze{19} \%
  • 210=20%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{2}{10} = \cloze{2 0} \%
  • 510=50%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{5}{10} = \cloze{5 0} \%
  • 4100=4%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{4}{100} = \cloze{4} \%
  • 10100=10%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{10}{100} = \cloze{10} \%
  • 41100=41%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{41}{100} = \cloze{41} \%
2
Schreibe die Prozentzahl zunächst als Dezimalbruch und kürze dann soweit wie möglich.
  • 52%=52100=1325\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 52 \% = \frac{ \cloze{52} }{100} = \cloze{ \frac{13}{25} }
  • 75%=75100=34\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 75 \% = \frac{ \cloze{75} }{100} = \cloze{ \frac{3}{4} }
  • 68%=68100=1725\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 68 \% = \frac{ \cloze{68} }{100} = \cloze{ \frac{17}{25} }
  • 66%=66100=3350\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 66 \% = \frac{ \cloze{66} }{100} = \cloze{ \frac{33}{50} }
  • 40%=40100=25\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 40 \% = \frac{ \cloze{40} }{100} = \cloze{ \frac{2}{5} }
  • 85%=85100=1720\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 85 \% = \frac{ \cloze{85} }{100} = \cloze{ \frac{17}{20} }
  • 5%=5100=120\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 5 \% = \frac{ \cloze{5} }{100} = \cloze{ \frac{1}{20} }
  • 16%=16100=425\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 16 \% = \frac{ \cloze{16} }{100} = \cloze{ \frac{4}{25} }
3
Erweitere den Bruch zunächst auf Hundertstel und schreibe dann als Prozentzahl.
  • 125=4100=4%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{1}{25} = \frac{ \cloze{4} }{100} = \cloze{4} \%
  • 625=24100=24%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{6}{25} = \frac{ \cloze{24} }{100} = \cloze{24} \%
  • 35=60100=60%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{3}{5} = \frac{ \cloze{60} }{100} = \cloze{60} \%
  • 710=70100=70%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{7}{10} = \frac{ \cloze{70} }{100} = \cloze{70} \%
  • 2425=96100=96%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{24}{25} = \frac{ \cloze{96} }{100} = \cloze{96} \%
  • 15=20100=20%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{1}{5} = \frac{ \cloze{20} }{100} = \cloze{20} \%

Beachte!


0,4 = 40%


0,04 = 4%

Prozentzahlen und Dezimalzahlen

4
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} \%
  • 0,4=40%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}4 = \cloze{4 0} \%
  • 0,4=40%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \cloze{0{,}4} = 4 0 \%
  • 0,6=60%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}6 = \cloze{6 0} \%
  • 0,3=30%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \cloze{0{,}3} = 3 0 \%
5
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} \%
6
Schreibe als Dezimalzahl.
  • 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}

Achtung, hier haben auch die Prozentzahlen ein Komma!

7
Schreibe als Prozentzahl.
  • 0,037=3,7%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}037 = \cloze{3{,}7} \%
  • 0,078=7,8%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}078 = \cloze{7{,}8} \%
  • 0,503=50,3%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}503 = \cloze{50{,}3} \%
  • 0,030=3,0%\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} 0{,}030 = \cloze{3{,}0} \%