III.4. Addieren: Unterschied zwischen den Versionen
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+ | </imagemap> | ||
− | <div class=" | + | <div class="aussen"><div class="menutag">[[P-Seminar/Mathematik_2010-12|Hauptmenü]]</div> |
+ | ;----------------------------------------------------------------------------------- | ||
+ | <popup name="I.Natürliche Zahlen "> | ||
− | + | <div class="menuebox"><div class="menue"> | |
− | + | <div class="aussen"><div class="menutag">'''I.Natürliche Zahlen'''</div> | |
+ | *[[P-Seminar/Mathematik_2010-12/I.1._Zählen_und_Ordnen|Zählen und Ordnen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/I.2._Veranschaulichung_von_Zahlen|Veranschaulichung von Zahlen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/I.3._Das_Dezimalsystem|Das Dezimalsystem]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/I.4._Römische_Zahlen|Römische Zahlen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/I.5._Zahlenmengen|Zahlenmengen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/I.6._Runden|Runden]] | ||
+ | </div> | ||
+ | </div> | ||
+ | </div> | ||
− | + | </popup> | |
− | |||
− | + | <popup name="II. Addition und Subtraktion natürlicher Zahlen "> | |
+ | <div class="menuebox"><div class="menue"> | ||
+ | <div class="aussen"><div class="menutag">'''II. Addition und Subtraktion natürlicher Zahlen'''</div> | ||
+ | *[[P-Seminar/Mathematik_2010-12/II.1._Addieren_und_Subtrahieren|1.Addieren und Subtrahieren]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/II.2._Rechengesetze_und_Rechenvorteile|2.Rechengesetze und Rechenvorteile]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/II.3._Terme|3.Terme]] | ||
+ | </div> | ||
+ | </div> | ||
</div> | </div> | ||
+ | </popup> | ||
− | <br/> | + | <popup name="III. Die ganzen Zahlen; Addition und Subtraktion "> |
+ | |||
+ | <div class="menuebox"><div class="menue"> | ||
+ | |||
+ | <div class="aussen"><div class="menutag">'''III. Die ganzen Zahlen; Addition und Subtraktion'''</div> | ||
+ | *[[P-Seminar/Mathematik_2010-12/III.1._Negative_Zahlen|1.Negative Zahlen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/III.2._Vorzeichenschreibweise|2.Vorzeichenschreibweise]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/III.3._Anordnung_und_Betrag|3.Anordnung und Betrag]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/III.4._Addieren|4.Addieren]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/III.5._Subtrahieren|5.Subtrahieren]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/III.6._Rechnen_mit_Summen_und_Differenzen|6.Rechnen mit Summen und Differenzen]] | ||
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+ | </div> | ||
+ | </div> | ||
+ | |||
+ | </popup> | ||
+ | |||
+ | |||
+ | |||
+ | <popup name="IV. Geometrische Grundbegriffe "> | ||
+ | |||
+ | <div class="menuebox"><div class="menue"> | ||
+ | |||
+ | <div class="aussen"><div class="menutag">'''IV. Geometrische Grundbegriffe'''</div> | ||
+ | *[[P-Seminar/Mathematik_2010-12/IV.1._Geometrische_Körper|1. Geometrische Körper]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/IV.2._Geraden|2. Geraden]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/IV.3._Abstände|3. Abstände]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/IV.4._Parallelogramme_-_Umfang|4. Parallelogramme - Umfang]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/IV.5._Kreise|5. Kreise]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/IV.6._Winkel|6. Winkel]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/IV.7._Achsensymmetrie|7. Achsensymmetrie]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/IV.8._Netze_geometrischer_Körper|8. Netze geometrischer Körper]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/IV.9._Schrägbilder|9. Schrägbilder]] | ||
+ | </div> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | </popup> | ||
+ | |||
+ | |||
+ | |||
+ | <popup name="V. Multiplikation und Division natürlicher Zahlen "> | ||
+ | |||
+ | <div class="menuebox"><div class="menue"> | ||
+ | |||
+ | <div class="aussen"><div class="menutag">'''V. Multiplikation und Division natürlicher Zahlen'''</div> | ||
+ | *[[P-Seminar/Mathematik_2010-12/V.1._Multiplizieren_und_Dividieren|1. Multiplizieren und Dividieren]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/V.2._Rechnen_mit_Null_und_Eins|2. Rechnen mit Null und Eins]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/V.3._Schriftliches_Multiplizieren_und_Dividieren|3. Schriftliches Multiplizieren und Dividieren]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/V.4._Verbindung_der_Grundrechenarten|4. Verbindung der Grundrechenarten]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/V.5._Rechengesetze_und_Rechenvorteile|5. Rechengesetze und Rechenvorteile]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/V.6._Potenzieren|6. Potenzieren]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/V.7._Faktorisieren_von_Zahlen|7. Faktorisieren von Zahlen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/V.8._Terme|8. Terme]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/V.9._Abzählen_am_Baumdiagramm|9. Abzählen am Baumdiagramm]] | ||
+ | </div> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | </popup> | ||
+ | |||
+ | |||
+ | |||
+ | <popup name="VI. Multiplikation und Division ganzer Zahlen "> | ||
+ | |||
+ | <div class="menuebox"><div class="menue"> | ||
+ | |||
+ | <div class="aussen"><div class="menutag">'''VI. Multiplikation und Division ganzer Zahlen'''</div> | ||
+ | *[[P-Seminar/Mathematik 2010-12/VI.1. Multiplikation | 1. Multiplikation]] | ||
+ | *[[P-Seminar/Mathematik 2010-12/VI.2 Division | 2. Division]] | ||
+ | |||
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+ | |||
+ | |||
+ | |||
+ | <popup name="VII. Größen und ihre Einheiten "> | ||
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+ | |||
+ | <div class="aussen"><div class="menutag">'''VII. Größen und ihre Einheiten'''</div> | ||
+ | *[[P-Seminar/Mathematik_2010-12/VII.1._Messen|1. Messen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/VII.2._Längen|2. Längen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/VII.3._Rechnen_mit_Größen|3. Rechnen mit Größen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/VII.4._Maßstab|4. Maßstab]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/VII.5._Massen|5. Massen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/VII.6._Geld|6. Geld]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/VII.7._Zeit|7. Zeit]] | ||
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+ | |||
+ | </popup> | ||
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+ | |||
+ | |||
+ | <popup name="VIII. Flächen und Flächenmessung "> | ||
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+ | |||
+ | <div class="aussen"><div class="menutag">'''VIII. Flächen und Flächenmessung'''</div> | ||
+ | *[[P-Seminar/Mathematik_2010-12/VIII.1._Flächeninhalte_vergleichen_und_messen|1. Flächeninhalte vergleichen und messen]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/VIII.2._Flächeneinheiten|2. Flächeneinheiten]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/VIII.3._Flächeninhalt_des_Rechtecks|3. Flächeninhalt des Rechtecks]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/VIII.4._Flächeninhalte_verschiedener_Figuren|4. Flächeninhalte verschiedener Figuren]] | ||
+ | *[[P-Seminar/Mathematik_2010-12/VIII.5._Oberflächeninhalt_des_Quaders|5. Oberflächeninhalt des Quaders]] | ||
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+ | <br><br><br><br> | ||
+ | |||
+ | |||
+ | </div> | ||
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+ | |||
+ | </div> | ||
+ | </div> | ||
+ | <br> | ||
+ | <br> | ||
+ | |||
+ | <div style="font: 10pt Comic Sans MS; padding:5px; border-bottom:1px solid #AAAAAA;"> | ||
+ | <div style="margin:0; margin-right:4px; margin-left:0px; border:1px solid #6C7B8B; padding: 0em 0em 0em 1em; background-color:#FFB90F;"> | ||
+ | ''III. Die ganzen Zahlen; Addition und Subtraktion:'' | ||
+ | <br /> | ||
+ | [[P-Seminar/Mathematik 2010-12/III.1. Negative Zahlen | 1. Negative Zahlen]] - [[P-Seminar/Mathematik 2010-12/III.2. Vorzeichenschreibweise | 2. Vorzeichenschreibweise]] - [[P-Seminar/Mathematik 2010-12/III.3. Anordnung und Betrag | 3. Anordnung und Betrag]] - [[P-Seminar/Mathematik 2010-12/III.4. Addieren |4. Addieren]] - [[P-Seminar/Mathematik 2010-12/III.5. Subtrahieren | 5. Subtrahieren]] - [[P-Seminar/Mathematik 2010-12/III.6. Rechnen mit Summen und Differenzen |6. Rechnen mit Summen und Differenzen]]</div> | ||
+ | <br /> | ||
+ | |||
+ | <div style="border: 5px solid #1D17AE; background-color:#FFEC8B; padding:7px;"> | ||
+ | <big> <colorize> Erklärung </colorize> </big> | ||
+ | <br /> | ||
+ | <br /> | ||
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+ | </div> | ||
+ | <br /><br /> | ||
+ | {| border="0" cellpadding="5" cellspacing="2" style="border-left: 15px solid {{{RandLinks|#049128}}}; border-top: 5px solid {{{RandOben|#049128}}}; border-bottom: 5px solid {{{RandUnten|#049128}}}; border-right: 5px solid {{{RandRechts|#049128}}}; margin-bottom: 0.4em; margin-left: auto; margin-right: auto; width: {{{Breite|100%}}}; background-color: {{{Hintergrund|#FFFBE9}}}" | ||
+ | |- | ||
+ | |<div style="font: 10pt Verdana; font-weight:bold; padding:5px; border-bottom:1px solid #AAAAAA;"> <big> <colorize> Aufgaben </colorize> </big> | ||
+ | </div> | ||
+ | |||
+ | Du kannst dich an den folgenden Aufgaben versuchen! | ||
+ | |||
+ | <quiz display="simple"> | ||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
+ | 74 + [ - 73 ] = { 1 } | ||
+ | 57 + [ - 72 ] = { -15 } | ||
+ | 72 + [ - 15 ] = { 57 } | ||
+ | 18 + [ - 85 ] = { -67 } | ||
+ | 61 + [ - 87 ] = { -26 } | ||
+ | |||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
+ | 85 + [ - 10 ] = { 75 } | ||
+ | 1 + [ - 89 ] = { -88 } | ||
+ | 33 + [ - 28 ] = { 5 } | ||
+ | 94 + [ - 13 ] = { 81 } | ||
+ | 44 + [ - 87 ] = { -43 } | ||
+ | |||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
+ | [ - 7 ] + [ - 3 ] = { -10 } | ||
+ | [ - 54 ] + [ - 3 ] = { -57 } | ||
+ | [ - 36 ] + [ - 67 ] = { -103 } | ||
+ | 56 + [ - 69 ] = { -13 } | ||
+ | 75 + [ - 1 ] = { 74 } | ||
+ | |||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
+ | [ - 6 ] + [ - 79 ] = { -85 } | ||
+ | [ - 60 ] + [ - 58 ] = { -118 } | ||
+ | [ - 34 ] + [ - 29 ] = { -63 } | ||
+ | 37 + [ - 93 ] = { -56 } | ||
+ | 28 + [ - 30 ] = { -2 } | ||
+ | |||
| | ||
− | <br/> | + | </quiz> |
+ | |||
+ | ---- | ||
+ | |||
+ | |||
+ | |||
+ | <quiz display="simple"> | ||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
+ | [ - 82 ] + [ - 90 ] = { -172 } | ||
+ | [ - 79 ] + [ - 32 ] = { -111 } | ||
+ | [ - 17 ] + [ - 56 ] = { -73 } | ||
+ | [ - 58 ] + [ - 14 ] = { -72 } | ||
+ | [ - 53 ] + [ - 46 ] = { -99 } | ||
+ | |||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
+ | [ - 4 ] + [ - 63 ] = { -67 } | ||
+ | [ - 11 ] + [ - 11 ] = { -22 } | ||
+ | 69 + [ - 90 ] = { -21 } | ||
+ | 81 + [ - 59 ] = { 22 } | ||
+ | 81 + [ - 25 ] = { 56 } | ||
+ | |||
+ | |||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
+ | 70 + [ - 40 ] = { 30 } | ||
+ | [ - 95 ] + [ - 71 ] = { -166 } | ||
+ | [ - 90 ] + [ - 80 ] = { -170 } | ||
+ | 75 + [ - 92 ] = { -17 } | ||
+ | 32 + [ - 78 ] = { -46 } | ||
+ | |||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
+ | [ - 20 ] + [ - 36 ] = { -56 } | ||
+ | [ - 13 ] + [ - 73 ] = { -86 } | ||
+ | [ - 77 ] + [ - 26 ] = { -103 } | ||
+ | [ - 73 ] + [ - 71 ] = { -144 } | ||
+ | [ - 43 ] + [ - 67 ] = { -110 } | ||
+ | |||
+ | | ||
+ | </quiz> | ||
+ | | ||
+ | </div> | ||
+ | |||
+ | |}<noinclude> | ||
+ | <br /> | ||
+ | <div style="margin:0; margin-right:4px; margin-left:0px; border:1px solid #6C7B8B; padding: 0em 0em 0em 1em; background-color:#FFB90F;"> | ||
+ | ''III. Die ganzen Zahlen; Addition und Subtraktion:'' | ||
+ | <br /> | ||
+ | [[P-Seminar/Mathematik 2010-12/III.1. Negative Zahlen | 1. Negative Zahlen]] - [[P-Seminar/Mathematik 2010-12/III.2. Vorzeichenschreibweise | 2. Vorzeichenschreibweise]] - [[P-Seminar/Mathematik 2010-12/III.3. Anordnung und Betrag | 3. Anordnung und Betrag]] - [[P-Seminar/Mathematik 2010-12/III.4. Addieren |4. Addieren]] - [[P-Seminar/Mathematik 2010-12/III.5. Subtrahieren | 5. Subtrahieren]] - [[P-Seminar/Mathematik 2010-12/III.6. Rechnen mit Summen und Differenzen |6. Rechnen mit Summen und Differenzen]]</div> |
Aktuelle Version vom 23. Oktober 2013, 00:04 Uhr
III. Die ganzen Zahlen; Addition und Subtraktion:
Erklärung
Aufgaben
Du kannst dich an den folgenden Aufgaben versuchen!
|
III. Die ganzen Zahlen; Addition und Subtraktion: