Rechenregeln: Unterschied zwischen den Versionen

Aus RMG-Wiki
Wechseln zu: Navigation, Suche
K (→‎Rechenregeln)
K (→‎Rechenregeln)
 
(39 dazwischenliegende Versionen von einem Benutzer werden nicht angezeigt)
Zeile 1: Zeile 1:
−
== <span style="color:pink">Rechenregeln</span>==
+
{|width=100%| style="background-color:#00EEEE ; border:5px solid #00008B; padding:0.5em"
 +
| valign="top" |
 +
{|width=100%| style="background-color:#00EEEE ; border:5px solid #00008B; padding:0.5em"
 +
| valign="top" |
 +
{|width=100%| style="background-color:#00EEEE ; border:5px solid #00008B; padding:0.5em"
 +
| valign="top" |
 +
== <span style="color:white">Rechenregeln</span>==
 +
<small>Von [[Benutzer:Niklas Meißner|Niklas Meißner]]</small>
 
<poem>
 
<poem>
−
<span style="font-size:20pt;">
+
<span style="font-size:20pt;"><span style="background:#CAFF70">
−
<span style="color:#CD2626">+</span><span style="color:blue">·</span><span style="color: #CD2626">+</span>=<span style="color:#CD2626">+</span>
+
<span style="color:#CD2626">+</span><span style="color:blue">·</span><span style="color: #CD2626">+</span>=<span style="color:#CD2626">+</span></span></span>''' <span style="background:#CAFF70">Beispiel:  <span style="color:#CD2626">10</span><span style="color:blue">·</span><span style="color:#CD2626">10</span>=<span style="color: #CD2626">100</span>'''</span>
−
<span style="color:#CD2626">+</span><span style="color:blue">·</span><span style="color: #EE7600">−</span>=<span style="color:#EE7600">−</span>
+
<span style="font-size:20pt;"><span style="background:yellow">
−
<span style="color:#EE7600">−</span><span style="color:blue">·</span><span style="color: #CD2626">+</span>=<span style="color:#EE7600">−</span>
+
<span style="color:#CD2626">+</span><span style="color:blue">·</span><span style="color: #EE7600">−</span>=<span style="color:#EE7600">−</span></span></span> <span style="background:yellow">'''Beispiel: <span style="color: #CD2626">10</span><span style="color:blue">·</span><span style="color:#EE7600">−10</span>=<span style="color:#EE7600">−100</span>'''</span>
−
<span style="color:#EE7600">−</span><span style="color:blue">·</span><span style="color: #EE7600">−</span>=<span style="color: #CD2626">+</span>
+
<span style="font-size:20pt;"><span style="background:yellow">
 +
<span style="color:#EE7600">−</span><span style="color:blue">·</span><span style="color: #CD2626">+</span>=<span style="color:#EE7600">−</span></span></span> <span style="background:yellow">'''Beispiel: <span style="color: #EE7600">−10</span><span style="color:blue">·</span><span style="color:#CD2626">10</span>=<span style="color:#EE7600">−100</span>'''</span>
 +
<span style="font-size:20pt;"><span style="background:#CAFF70">
 +
<span style="color:#EE7600">−</span><span style="color:blue">·</span><span style="color: #EE7600">−</span>=<span style="color:#CD2626">+</span></span> </span><span style="background:#CAFF70">'''Beispiel: <span style="color: #EE7600">−10</span><span style="color:blue">·</span><span style="color:#EE7600">−10</span>=<span style="color:#CD2626">100</span>'''</span>
  
−
<span style="color:#CD2626">+</span><span style="color:blue">÷</span><span style="color: #CD2626">+</span>=<span style="color: #CD2626">+</span>
+
<span style="font-size:20pt;"><span style="background:#CAFF70">
−
<span style="color:#CD2626">+</span><span style="color:blue">÷</span><span style="color: #EE7600">−</span>=<span style="color:#EE7600">−</span>
+
<span style="color:#CD2626">+</span><span style="color:blue">÷</span><span style="color: #CD2626">+</span>=<span style="color:#CD2626">+</span></span> </span><span style="background:#CAFF70">'''Beispiel:  <span style="color:#CD2626">10</span><span style="color:blue">÷</span><span style="color: #CD2626">10</span>=<span style="color:#CD2626">1</span>'''</span>
−
<span style="color:#EE7600">−</span><span style="color:blue">÷</span><span style="color: #CD2626">+</span>=<span style="color:#EE7600">−</span>
+
<span style="font-size:20pt;"><span style="background:yellow">
−
<span style="color:#EE7600">−</span><span style="color:blue">÷</span><span style="color: #EE7600">−</span>=<span style="color: #CD2626">+</span>
+
<span style="color:#CD2626">+</span><span style="color:blue">÷</span><span style="color: #EE7600">−</span>=<span style="color:#EE7600">−</span></span></span> <span style="background:yellow">'''Beispiel: <span style="color: #CD2626">10</span><span style="color:blue">÷</span><span style="color:#EE7600">−10</span>=<span style="color:#EE7600">−1</span>'''</span>
 +
<span style="font-size:20pt;"><span style="background:yellow">
 +
<span style="color:#EE7600">−</span><span style="color:blue">÷</span><span style="color: #CD2626">+</span>=<span style="color:#EE7600">−</span></span></span> <span style="background:yellow">'''Beispiel: <span style="color: #EE7600">−10</span><span style="color:blue">÷</span><span style="color:#CD2626">10</span>=<span style="color:#EE7600">−1</span>'''</span>
 +
<span style="font-size:20pt;"><span style="background:#CAFF70">
 +
<span style="color:#EE7600">−</span><span style="color:blue">÷</span><span style="color: #EE7600">−</span>=<span style="color:#CD2626">+</span></span> </span><span style="background:#CAFF70">'''Beispiel: <span style="color: #EE7600">−10</span><span style="color:blue">÷</span><span style="color:#EE7600">−10</span>=<span style="color:#CD2626">1</span>'''</span>
 +
</poem>
 +
 
 +
 
 +
 
 +
<poem>
 +
<span style="font-size:15pt;">Kommutativgesetz:</span>
 +
<span style="font-size:10pt;">
 +
a+b = b+a   
 +
=2+3 = 3+2
 +
 
 +
a·b = b·a
 +
=2·3 = 3·2   
 +
</span>
 +
<span style="font-size:15pt;">Assoziativgesetz:</span>
 +
<span style="font-size:10pt;">
 +
a+(b+c) = (a+b)+c   
 +
=2+(3+4) = (2+3)+4
 +
 
 +
a·(b·c) = (a·b)·c   
 +
=2·(3·4) = (2·3)·4
 +
<span style="color:red">→Ausmultiplizieren</span>
 +
</span>
 +
<span style="font-size:15pt;">Distributivgesetz:</span>
 +
<span style="font-size:10pt;">
 +
(a+b)·c = a·c+b·c   
 +
=(2+3)·c = 2·4+3·4
 +
<span style="color:red">←Ausklammern</span>
 
</span>
 
</span>
 
</poem>
 
</poem>

Aktuelle Version vom 22. Juni 2009, 14:48 Uhr

Rechenregeln

Von Niklas Meißner


+·+=+ Beispiel: 10·10=100

+·−=− Beispiel: 10·−10=−100

−·+=− Beispiel: −10·10=−100

−·−=+ Beispiel: −10·−10=100


+÷+=+ Beispiel: 10÷10=1

+÷−=− Beispiel: 10÷−10=−1

−÷+=− Beispiel: −10÷10=−1

−÷−=+ Beispiel: −10÷−10=1


Kommutativgesetz:

a+b = b+a
=2+3 = 3+2

a·b = b·a
=2·3 = 3·2

Assoziativgesetz:

a+(b+c) = (a+b)+c
=2+(3+4) = (2+3)+4

a·(b·c) = (a·b)·c
=2·(3·4) = (2·3)·4
→Ausmultiplizieren

Distributivgesetz:

(a+b)·c = a·c+b·c
=(2+3)·c = 2·4+3·4
←Ausklammern

Von „http://rmg.zum.de/index.php?title=Benutzer:Niklas_Meißner/Rechenregeln&oldid=19066“