Aufgabe 1

Umrechnen in die gesuchten Einheiten.

Stunden $(\mathrm{h})\backslash mathrm\{(h)\}$ in Minuten $(\mathrm{m}\mathrm{i}\mathrm{n})\backslash mathrm\{(min)\}$:

$1\mathrm{h}=60\mathrm{m}\mathrm{i}\mathrm{n}\Rightarrow \mathrm{2,25}\mathrm{h}=\mathrm{2,25}\cdot 60\mathrm{m}\mathrm{i}\mathrm{n}\backslash mathrm\{1\backslash \; h=60\backslash \; min\backslash quad\backslash Rightarrow\; 2\{,\}25\backslash \; h=2\{,\}25\backslash \; \backslash cdot\; 60\backslash \; min\}$

$\boxed{{\displaystyle \mathrm{2,25}\mathrm{h}=135\mathrm{m}\mathrm{i}\mathrm{n}}}\backslash boxed\{\backslash mathrm\{2\{,\}25\backslash \; h=135\backslash \; min\}\}$

Gramm $(\mathrm{g})\backslash mathrm\{(g)\}$ in Kilogramm $(\mathrm{k}\mathrm{g})\backslash mathrm\{(kg)\}$:

$1\mathrm{g}={\displaystyle \frac{1}{1000}}\mathrm{k}\mathrm{g}\Rightarrow \mathrm{1238,6}\mathrm{g}=\mathrm{1238,6}\cdot {\displaystyle \frac{1}{1000}}\mathrm{k}\mathrm{g}\backslash mathrm\{1\backslash \; g=\backslash dfrac\{1\}\{1000\}\backslash \; kg\backslash quad\backslash Rightarrow\; 1238\{,\}6\backslash \; g=1238\{,\}6\backslash cdot\backslash dfrac\{1\}\{1000\}\backslash \; kg\}$

$\boxed{{\displaystyle \mathrm{1238,6}\mathrm{g}=\mathrm{1,2386}\mathrm{k}\mathrm{g}}}\backslash boxed\{\backslash mathrm\{1238\{,\}6\backslash \; g=1\{,\}2386\backslash \; kg\}\}$

Kubikmeter $({\mathrm{m}}^3)\backslash mathrm\{(m^3)\}$ in Liter $(\mathrm{l})\backslash mathrm\{(l)\}$:

$1{\mathrm{m}}^3=1000\mathrm{d}{\mathrm{m}}^3=1000\mathrm{l}\Rightarrow \mathrm{0,12}{\mathrm{m}}^3=\mathrm{0,12}\cdot 1000\mathrm{l}\backslash mathrm\{1\backslash \; m^3=1000\backslash \; dm^3=1000\backslash \; l\backslash quad\backslash Rightarrow\; 0\{,\}12\backslash \; m^3=0\{,\}12\backslash cdot1000\backslash \; l\}$

$\boxed{{\displaystyle \mathrm{0,12}{\mathrm{m}}^3=120\mathrm{l}}}\backslash boxed\{\backslash mathrm\{0\{,\}12\backslash \; m^3=120\backslash \; l\}\}$

Schreibe die Werte in die entsprechenden Lücken.