III.4. Addieren: Unterschied zwischen den Versionen
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+ | <div class="aussen"><div class="menutag">[[P-Seminar/Mathematik_2010-12|Hauptmenü]]</div> | ||
+ | ;----------------------------------------------------------------------------------- | ||
+ | <popup name="I.Natürliche Zahlen "> | ||
+ | |||
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+ | |||
+ | <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]] | ||
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+ | |||
+ | |||
+ | |||
+ | <popup name="II. Addition und Subtraktion natürlicher Zahlen "> | ||
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+ | |||
+ | <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]] | ||
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+ | <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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+ | |||
+ | |||
+ | <popup name="IV. Geometrische Grundbegriffe "> | ||
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+ | |||
+ | <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]] | ||
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+ | |||
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+ | |||
+ | <popup name="V. Multiplikation und Division natürlicher Zahlen "> | ||
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+ | <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]] | ||
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+ | <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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+ | <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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+ | *[[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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framePossible = "false" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" allowRescaling = "true" useLocalJar = "true" /> | ||
<br /><br /> | <br /><br /> | ||
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</div> | </div> | ||
− | <br /> | + | <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}}}" | {| 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}}}" | ||
|- | |- | ||
Zeile 20: | Zeile 191: | ||
</div> | </div> | ||
− | + | Du kannst dich an den folgenden Aufgaben versuchen! | |
<quiz display="simple"> | <quiz display="simple"> | ||
− | { Berechne | + | { Berechne. |
| type="{}"} | | type="{}"} | ||
Zeile 31: | Zeile 202: | ||
18 + [ - 85 ] = { -67 } | 18 + [ - 85 ] = { -67 } | ||
61 + [ - 87 ] = { -26 } | 61 + [ - 87 ] = { -26 } | ||
+ | |||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
85 + [ - 10 ] = { 75 } | 85 + [ - 10 ] = { 75 } | ||
1 + [ - 89 ] = { -88 } | 1 + [ - 89 ] = { -88 } | ||
Zeile 37: | Zeile 212: | ||
44 + [ - 87 ] = { -43 } | 44 + [ - 87 ] = { -43 } | ||
− | + | { Berechne. | |
− | { Berechne | + | |
| type="{}"} | | type="{}"} | ||
− | + | [ - 7 ] + [ - 3 ] = { -10 } | |
+ | [ - 54 ] + [ - 3 ] = { -57 } | ||
+ | [ - 36 ] + [ - 67 ] = { -103 } | ||
56 + [ - 69 ] = { -13 } | 56 + [ - 69 ] = { -13 } | ||
75 + [ - 1 ] = { 74 } | 75 + [ - 1 ] = { 74 } | ||
− | + | ||
− | + | { Berechne. | |
− | + | | type="{}"} | |
− | + | ||
− | + | [ - 6 ] + [ - 79 ] = { -85 } | |
+ | [ - 60 ] + [ - 58 ] = { -118 } | ||
+ | [ - 34 ] + [ - 29 ] = { -63 } | ||
37 + [ - 93 ] = { -56 } | 37 + [ - 93 ] = { -56 } | ||
28 + [ - 30 ] = { -2 } | 28 + [ - 30 ] = { -2 } | ||
+ | | ||
</quiz> | </quiz> | ||
+ | |||
+ | ---- | ||
+ | |||
+ | |||
<quiz display="simple"> | <quiz display="simple"> | ||
− | { Berechne | + | { Berechne. |
| type="{}"} | | type="{}"} | ||
Zeile 63: | Zeile 246: | ||
[ - 58 ] + [ - 14 ] = { -72 } | [ - 58 ] + [ - 14 ] = { -72 } | ||
[ - 53 ] + [ - 46 ] = { -99 } | [ - 53 ] + [ - 46 ] = { -99 } | ||
+ | |||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
[ - 4 ] + [ - 63 ] = { -67 } | [ - 4 ] + [ - 63 ] = { -67 } | ||
[ - 11 ] + [ - 11 ] = { -22 } | [ - 11 ] + [ - 11 ] = { -22 } | ||
− | + | 69 + [ - 90 ] = { -21 } | |
− | [ - | + | 81 + [ - 59 ] = { 22 } |
+ | 81 + [ - 25 ] = { 56 } | ||
− | { Berechne | + | { Berechne. |
| type="{}"} | | type="{}"} | ||
− | + | 70 + [ - 40 ] = { 30 } | |
− | + | ||
− | + | ||
[ - 95 ] + [ - 71 ] = { -166 } | [ - 95 ] + [ - 71 ] = { -166 } | ||
[ - 90 ] + [ - 80 ] = { -170 } | [ - 90 ] + [ - 80 ] = { -170 } | ||
+ | 75 + [ - 92 ] = { -17 } | ||
+ | 32 + [ - 78 ] = { -46 } | ||
+ | |||
+ | { Berechne. | ||
+ | | type="{}"} | ||
+ | |||
[ - 20 ] + [ - 36 ] = { -56 } | [ - 20 ] + [ - 36 ] = { -56 } | ||
[ - 13 ] + [ - 73 ] = { -86 } | [ - 13 ] + [ - 73 ] = { -86 } | ||
[ - 77 ] + [ - 26 ] = { -103 } | [ - 77 ] + [ - 26 ] = { -103 } | ||
+ | [ - 73 ] + [ - 71 ] = { -144 } | ||
+ | [ - 43 ] + [ - 67 ] = { -110 } | ||
− | + | | |
− | + | ||
− | + | ||
− | + | ||
</quiz> | </quiz> | ||
− | + | | |
</div> | </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: