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== <span style="color:pink">Rechenregeln</span>==
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== <span style="color:white">Rechenregeln</span>==
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<small>Von [[Benutzer:Niklas Meißner|Niklas Meißner]]</small>
 
<poem>
 
<poem>
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<span style="font-size:20pt;">
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<span style="font-size:20pt;"><span style="background:#CAFF70">
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<span style="color:#CD2626">+</span><span style="color:blue">·</span><span style="color: #CD2626">+</span>=<span style="color:#CD2626">+</span></span>''' 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 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="font-size:20pt;"><span style="background:yellow">
 
<span style="font-size:20pt;"><span style="background:yellow">
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<span style="color:#CD2626">+</span><span style="color:blue">·</span><span style="color: #EE7600">−</span>=<span style="color:#EE7600">−</span></span></span> '''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 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>
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<span style="font-size:20pt;">
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<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> '''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 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>
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<span style="font-size:20pt;">
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<span style="font-size:20pt;"><span style="background:#CAFF70">
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<span style="color:#EE7600">−</span><span style="color:blue">·</span><span style="color: #EE7600">−</span>=<span style="color:#CD2626">+</span></span> '''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 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>
  
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<span style="font-size:20pt;">
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<span style="font-size:20pt;"><span style="background:#CAFF70">
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<span style="color:#CD2626">+</span><span style="color:blue">÷</span><span style="color: #CD2626">+</span>=<span style="color:#CD2626">+</span></span> '''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 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>
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<span style="font-size:20pt;">
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<span style="font-size:20pt;"><span style="background:yellow">
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<span style="color:#CD2626">+</span><span style="color:blue">÷</span><span style="color: #EE7600">−</span>=<span style="color:#EE7600">−</span></span> '''Beispiel: <span style="color: #CD2626">10</span><span style="color:blue">÷</span><span style="color:#EE7600">−10</span>=<span style="color:#EE7600">−1</span>'''
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<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>
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<span style="font-size:20pt;">
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<span style="font-size:20pt;"><span style="background:yellow">
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<span style="color:#EE7600">−</span><span style="color:blue">÷</span><span style="color: #CD2626">+</span>=<span style="color:#EE7600">−</span></span> '''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 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>
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<span style="font-size:20pt;">
+
<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> '''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 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>
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</poem>
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 +
<poem>
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<span style="font-size:15pt;">Kommutativgesetz:</span>
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<span style="font-size:10pt;">
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a+b = b+a   
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=2+3 = 3+2
  
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a·b = b·a
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=2·3 = 3·2   
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</span>
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<span style="font-size:15pt;">Assoziativgesetz:</span>
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<span style="font-size:10pt;">
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a+(b+c) = (a+b)+c   
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=2+(3+4) = (2+3)+4
  
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a·(b·c) = (a·b)·c   
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=2·(3·4) = (2·3)·4
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<span style="color:red">→Ausmultiplizieren</span>
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</span>
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<span style="font-size:15pt;">Distributivgesetz:</span>
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<span style="font-size:10pt;">
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(a+b)·c = a·c+b·c   
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=(2+3)·c = 2·4+3·4
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<span style="color:red">←Ausklammern</span>
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</span>
 
</poem>
 
</poem>

Aktuelle Version vom 22. Juni 2009, 15:48 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“