TitelDezimalbrüche in Brüche verwandeln - H
Autoranonym
veröffentlicht06.01.2022
BildungsgangMittlere Reife
FachMathematik

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Ergänze die Stellenwerttafel

Schreibe die Dezimalzahl daneben auf die gestrichelte Linie

a) 1,45 = $\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 1\frac{45}{100}$

b) =

c) =

d) =

e) =

f) =

Merke für die nächste Aufgabe:

0,50 = $\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac {50}{100}$ = $\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{5}{10}$ = $\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{2}$

0,45 = $\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac {45}{100}$ = $\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{9}{20}$

Wandle vom Bruch in den Dezimalbruch um! Kürze auch so weit wie möglich. Alle Brüche sind kürzbar!

$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}10 = \frac{ \cloze{10} }{100} = \cloze{ \frac{1}{10} }$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}36 = \frac{ \cloze{36} }{100} = \cloze{ \frac{9}{25} }$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}22 = \frac{ \cloze{22} }{100} = \cloze{ \frac{11}{50} }$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}20 = \frac{ \cloze{20} }{100} = \cloze{ \frac{1}{5} }$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}35 = \frac{ \cloze{35} }{100} = \cloze{ \frac{7}{20} }$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}15 = \frac{ \cloze{15} }{100} = \cloze{ \frac{3}{20} }$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}34 = \frac{ \cloze{34} }{100} = \cloze{ \frac{17}{50} }$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}40 = \frac{ \cloze{40} }{100} = \cloze{ \frac{2}{5} }$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}04 = \frac{ \cloze{4} }{100} = \cloze{ \frac{1}{25} }$

Wandle vom Bruch in den Dezimalbruch um! Kürze auch so weit wie möglich. Alle Brüche sind kürzbar!

$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{17}{50} = \frac{ \cloze{34} }{100} = \cloze{0{,}34}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{7}{50} = \frac{ \cloze{14} }{100} = \cloze{0{,}14}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{2}{25} = \frac{ \cloze{8} }{100} = \cloze{0{,}08}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{3}{25} = \frac{ \cloze{12} }{100} = \cloze{0{,}12}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{5} = \frac{ \cloze{20} }{100} = \cloze{0{,}20}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{3}{10} = \frac{ \cloze{30} }{100} = \cloze{0{,}30}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{11}{50} = \frac{ \cloze{22} }{100} = \cloze{0{,}22}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{19}{50} = \frac{ \cloze{38} }{100} = \cloze{0{,}38}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{4}{25} = \frac{ \cloze{16} }{100} = \cloze{0{,}16}$

Bildunterschrift

Ordne zu! Welcher Bruch gehört zu welcher Dezimalzahl?

0,25
0,8
0,3
0,13
0,75

$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{4}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{3}{10}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{8}{10}$ = $\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{4}{5}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{3}{4}$
$\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{13}{100}$

Welche Zahlen sind auf dem Zahlenstrahl markiert? Schreibe sie unter die Pfeile.