Typ A

1. 
   

   Ordnen Sie richtig zu:
   Länge einer Zunge	cm	${\displaystyle \qquad }$	${\displaystyle \ }$cm³
   Dauer eines Filmes	h		${\displaystyle \ }$km
   Dauer eines Herzschlags	s		${\displaystyle \ }$m
   Länge eines Zuges	m		${\displaystyle \ }$h
   Abstand zwischen Paris und Rom${\displaystyle \quad }$	km${\displaystyle \ \ \ }$		${\displaystyle \ }$s
   Volumen einer Spritze	cm³		${\displaystyle \ }$cm

2. 
   

   Ordnen Sie richtig zu:
   Höhe eines Fernsehturms	m	${\displaystyle \qquad }$	${\displaystyle \ }$cm³
   Volumen eines Ölkanisters	${\displaystyle {\boldsymbol {\ell }}}$		${\displaystyle \ }$km
   Dauer einer Unterrichtspause	min		${\displaystyle \ }$m
   Volumen eines LKWs	m3		${\displaystyle \ }$m3
   Abstand Mogadischu-Kambala${\displaystyle \quad }$	km${\displaystyle \quad }$		${\displaystyle \ }$min
   Volumen einer Spritze	cm3		${\displaystyle \ \ell }$

3. 
   

   Ordnen Sie richtig zu:
   Fläche eines Fingernagels	mm2	${\displaystyle \qquad }$	${\displaystyle \ }$m2
   Dauer einer Flugreise	h		${\displaystyle \ }$km2
   Höhe eines Hauses	m		${\displaystyle \ }$h
   Fläche eines Zimmers	m2		${\displaystyle \ }$m
   Abstand zwischen den Augen${\displaystyle \quad }$	cm${\displaystyle \quad }$		${\displaystyle \ }$mm2
   Fläche eines Staates	km2		${\displaystyle \ }$cm

4. 
   

   Ordnen Sie richtig zu:
   Fläche eines Staates	km²	${\displaystyle \qquad }$	${\displaystyle \ }$m2
   Dauer einer Flugreise	h		${\displaystyle \ }$km2
   Dauer eine Schulpause	min		${\displaystyle \ }$h
   Fläche eines Zimmers	m²		${\displaystyle \ }$min
   Abstand zwischen den Augen${\displaystyle \quad }$	cm${\displaystyle \quad }$		s${\displaystyle \ }$
   Dauer eines Atemzugs	s		cm${\displaystyle \ }$

Typ B

1. 1. ${\displaystyle \ m^{2}\qquad }$
   2. ${\displaystyle \ m\qquad }$
   3. ${\displaystyle \ h\qquad }$
   4. ${\displaystyle \ km\qquad }$
   5. ${\displaystyle \ g\qquad }$
   6. ${\displaystyle \ m\qquad }$
   
   
   
2. 1. ${\displaystyle \ s\qquad }$
   2. ${\displaystyle \ dm^{2}\qquad }$
   3. ${\displaystyle \ kg\qquad }$
   4. ${\displaystyle \ km^{2}\qquad }$
   5. ${\displaystyle \ mm\qquad }$
   6. ${\displaystyle \ t\qquad }$
   
   
   
3. 1. ${\displaystyle \ m^{2}\qquad }$
   2. ${\displaystyle \ min\qquad }$
   3. ${\displaystyle \ m^{3}\qquad }$
   4. ${\displaystyle \ mm\qquad }$
   5. ${\displaystyle \ g\qquad }$
   6. ${\displaystyle \ m^{3}\qquad }$
   
   
   
4. 1. ${\displaystyle \ dm^{2}\qquad }$
   2. ${\displaystyle \ cm^{3}\qquad }$
   3. ${\displaystyle \ t\qquad }$
   4. ${\displaystyle \ dm\qquad }$
   5. ${\displaystyle \ t\qquad }$
   6. ${\displaystyle \ cm\qquad }$
   
   
   
5. 1. ${\displaystyle \ cm^{2}\qquad }$
   2. ${\displaystyle \ km\qquad }$
   3. ${\displaystyle \ min\qquad }$
   4. ${\displaystyle \ dm\qquad }$
   5. ${\displaystyle \ t\qquad }$
   6. ${\displaystyle \ cm\qquad }$
   
   
   
6. 1. ${\displaystyle \ min\qquad }$
   2. ${\displaystyle \ dm^{2}\qquad }$
   3. ${\displaystyle \ cm^{2}\qquad }$
   4. ${\displaystyle \ m^{2}\qquad }$
   5. ${\displaystyle \ cm\qquad }$
   6. ${\displaystyle \ kg\qquad }$
   
   
   
7. 1. ${\displaystyle m^{2}}$
   2. ${\displaystyle s}$
   3. ${\displaystyle m^{3}}$
   4. ${\displaystyle mm}$
   5. ${\displaystyle kg}$
   6. ${\displaystyle m\ell \ (cm^{3})}$
   
   
   
8. 1. ${\displaystyle cm^{2}}$
   2. ${\displaystyle cm^{3}}$
   3. ${\displaystyle g}$
   4. ${\displaystyle mm}$
   5. ${\displaystyle mm^{3}}$
   6. ${\displaystyle s}$
   
   
   

Einheiten ohne Hochzahl

1. 1. ${\displaystyle 53700000\ cm\qquad }$
   2. ${\displaystyle 0{,}537\ m\qquad }$
   3. ${\displaystyle 13{,}95\ h\qquad }$
   4. ${\displaystyle 470\ g\qquad }$
   5. ${\displaystyle 2764{,}8\ s}$
2. 1. ${\displaystyle 44500\ cm\qquad }$
   2. ${\displaystyle 4{,}45\ dm\qquad }$
   3. ${\displaystyle 3{,}15\ Tage\qquad }$
   4. ${\displaystyle 445\ g\qquad }$
   5. ${\displaystyle 178{,}2\ s}$
3. 1. ${\displaystyle 0{,}000793\ kg\qquad }$
   2. ${\displaystyle 79300\ cm\qquad }$
   3. ${\displaystyle 0{,}0000793\ km\qquad }$
   4. ${\displaystyle 0{,}793\ g\qquad }$
   5. ${\displaystyle 1{,}8792\ h}$
4. 1. ${\displaystyle 0{,}000577\ m\qquad }$
   2. ${\displaystyle 5770000\ km\qquad }$
   3. ${\displaystyle 793000\ mg\qquad }$
   4. ${\displaystyle 0{,}00001305\ min\qquad }$
   5. ${\displaystyle 111{,}312\ min}$

Einheiten mit Hochzahl

1. 1. ${\displaystyle 53700000000\ dm^{2}\qquad }$
   2. ${\displaystyle 0{,}000537\ dm^{3}\qquad }$
   3. ${\displaystyle 0{,}00000537\ km^{2}\qquad }$
   4. ${\displaystyle 537000000\ dm^{3}\qquad }$
   5. ${\displaystyle 0{,}00032\ m^{2}}$
2. 1. ${\displaystyle 0{,}374\ m^{3}\qquad }$
   2. ${\displaystyle 374000000\ mm^{3}\qquad }$
   3. ${\displaystyle 0{,}000374\ m^{2}\qquad }$
   4. ${\displaystyle 374\ cm^{3}\qquad }$
   5. ${\displaystyle 0{,}00000374\ m^{2}}$
3. 1. ${\displaystyle 2570000\ mm^{2}\qquad }$
   2. ${\displaystyle 0{,}000000257\ km^{3}\qquad }$
   3. ${\displaystyle 0{,}00000257\ km^{2}\qquad }$
   4. ${\displaystyle 0{,}257\ mm^{3}\qquad }$
   5. ${\displaystyle 0{,}000257\ dm^{2}}$
4. 1. ${\displaystyle 447000\ cm^{3}\qquad }$
   2. ${\displaystyle 0{,}00000257\ km^{2}\qquad }$
   3. ${\displaystyle 0{,}000311\ m^{2}\qquad }$
   4. ${\displaystyle 3{,}35\ mm^{3}}$
   5. ${\displaystyle 25700\ mm^{3}\qquad }$

Einheiten und Zahlendarstellung

1. 1. 1,6 km bzw. 1:50000
   2. ${\displaystyle 0{,}{\dot {2}}\ m}$
   3. A=C=D=F
   4. 45 in/s=68,58 m/min, 0,2 mm/s≈28,35 in/h
2. 1. nein, da 5500%≠55³
   2. 8,5⋅10⁸, das 3.
   3. ${\displaystyle a{\tfrac {kg}{m^{3}}}=a{\tfrac {1000g}{1000\ell }}=a{\tfrac {g}{\ell }}}$
   4. A=B=F=G,C=E
3. 1. 149,76 Millionen km
   2. ca. 47,3 mm
   3. A=B=C=G,E=F
   4. 4860 km/h, 45 Meilen/h
4. 1. 2,1²=441% also 341% mehr
   2. 3,62⋅10⁸, das 1.
   3. ${\displaystyle a{\tfrac {m}{s}}=a{\tfrac {{\tfrac {1}{1000}}km}{{\tfrac {1}{3600}}h}}=}$${\displaystyle a{\tfrac {3600\ km}{1000\ h}}=a\cdot 3{,}6{\tfrac {km}{h}}}$
   4. A=B=E=F=G

Komplexes Beispiel zur Umwandlung von Einheiten

1. 4320 km/h${\displaystyle \quad }$45 Meilen/h
2. 116640000 km/h²
3. 40 N
4. ca. 12370 mg/min

Einheiten umrechnen

1. 1. ${\displaystyle 0{,}3\ Tage}$
   2. ${\displaystyle 35000000\ dm^{2}}$
   3. ${\displaystyle 0{,}000000443\ dm^{3}}$
2. 1. ${\displaystyle 7{,}95\ min}$
   2. ${\displaystyle 550000\ mm^{2}}$
   3. ${\displaystyle 0{,}00000043\ t}$
3. 1. ${\displaystyle 0{,}3875\ Tage}$
   2. ${\displaystyle 0{,}000000008\ km^{2}}$
   3. ${\displaystyle 0{,}00000033\ kg}$
4. 1. ${\displaystyle 75000\ g}$
   2. ${\displaystyle 0{,}08516\ Jahre}$
   3. ${\displaystyle 0{,}504\ dm^{3}}$
5. 1. ${\displaystyle 0{,}095\ h}$
   2. ${\displaystyle 5430000000\ dm^{2}}$
   3. ${\displaystyle 0{,}504\ dm^{3}}$
6. 1. ${\displaystyle 686880\ min}$
   2. ${\displaystyle 55300000\ mm^{2}}$
   3. ${\displaystyle 0{,}00000043\ kg}$
7. 1. ${\displaystyle 2008{,}8\ s}$
   2. ${\displaystyle 0{,}000000008\ km^{3}}$
   3. ${\displaystyle 330000\ mg}$
8. 1. ${\displaystyle 75000000\ g}$
   2. ${\displaystyle ca.\ 0{,}0008516\ Jahre}$
   3. ${\displaystyle 0{,}0000503\ m^{2}}$

Zahl in Gleitkommadarstellung umwandeln

Vorsilben und Gleitkommadarstellung

1. A) −19${\displaystyle \quad }$ B) −9
   C) 2${\displaystyle \quad }$${\displaystyle \quad }$ D) 8
   E) 1${\displaystyle \quad }$${\displaystyle \quad }$ F) 4
2. A) −12${\displaystyle \quad }$ B) −6
   C) 3${\displaystyle \quad }$${\displaystyle \quad }$ D) −16
   E) 1${\displaystyle \quad }$${\displaystyle \quad }$ F) −4
3. A) −12${\displaystyle \quad }$ B) −2
   C) 11${\displaystyle \quad }$${\displaystyle \quad }$ D) 25
   E) −5${\displaystyle \quad }$${\displaystyle \quad }$ F) 0
4. A) 12${\displaystyle \quad }$ B) −3
   C) 11${\displaystyle \quad }$${\displaystyle \quad }$ D) -22
   E) −5${\displaystyle \quad }$${\displaystyle \quad }$ F) -2