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c) Wie viele M\u00fcnzen muss sie aus einem Zehners\u00e4ckchen nehmen, damit die restlichen M\u00fcnzen im S\u00e4ckchen durch 3 teilbar sind? <\/p>\n","overallFeedback":[{"from":0,"to":100}],"showSolutions":"L\u00f6sung anzeigen","tryAgain":"Wiederholen","checkAnswer":"\u00dcberpr\u00fcfen","notFilledOut":"Bitte f\u00fclle alle L\u00fccken aus, um die L\u00f6sung ansehen zu k\u00f6nnen","answerIsCorrect":"':ans' ist korrekt","answerIsWrong":"':ans' ist falsch","answeredCorrectly":"Korrekt beantwortet","answeredIncorrectly":"Falsch beantwortet","solutionLabel":"Korrekte Antwort:","inputLabel":"L\u00fccke @num von @total","inputHasTipLabel":"Tipp verf\u00fcgbar","tipLabel":"Tipp","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"autoCheck":false,"caseSensitive":true,"showSolutionsRequiresInput":true,"separateLines":false,"confirmCheckDialog":false,"confirmRetryDialog":false,"acceptSpellingErrors":false},"scoreBarLabel":"Du hast :num von :total Punkten erreicht.","confirmCheck":{"header":"Beenden?","body":"Ganz sicher beenden?","cancelLabel":"Abbrechen","confirmLabel":"Beenden"},"confirmRetry":{"header":"Wiederholen?","body":"Ganz sicher wiederholen?","cancelLabel":"Abbrechen","confirmLabel":"Best\u00e4tigen"},"questions":["
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Wie viele muss sie insgesamt den Zehners\u00e4ckchen entnehmen? *3*<\/p>\n"],"submitAnswer":"Submit","a11yCheck":"Die Antworten \u00fcberpr\u00fcfen. Die Eingaben werden als richtig, falsch oder unbeantwortet markiert.","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtigen L\u00f6sungen werden in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Eingaben werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet.","a11yCheckingModeHeader":"\u00dcberpr\u00fcfen-Modus aktiv"},"subContentId":"3ea36400-3457-497f-9891-602497c6290b","metadata":{"contentType":"Fill in the Blanks","license":"U","title":"Unbenannt: Fill in the Blanks"}},"alwaysDisplayComments":false,"backgroundOpacity":85,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":48.58934169278997,"y":30.959752321981423,"width":45.61128526645768,"height":55.10835913312693,"action":{"library":"H5P.Blanks 1.14","params":{"media":{"disableImageZooming":false},"text":"
d) Wie viele einzelne M\u00fcnzen hat Oma Dora, nachdem sie die n\u00f6tige Anzahl M\u00fcnzen aus den Hunderter- und den Zehners\u00e4ckchen entnommen hat?<\/p>\n","overallFeedback":[{"from":0,"to":100}],"showSolutions":"L\u00f6sung anzeigen","tryAgain":"Wiederholen","checkAnswer":"\u00dcberpr\u00fcfen","notFilledOut":"Bitte f\u00fclle alle L\u00fccken aus, um die L\u00f6sung ansehen zu k\u00f6nnen","answerIsCorrect":"':ans' ist korrekt","answerIsWrong":"':ans' ist falsch","answeredCorrectly":"Korrekt beantwortet","answeredIncorrectly":"Falsch beantwortet","solutionLabel":"Korrekte Antwort:","inputLabel":"L\u00fccke @num von @total","inputHasTipLabel":"Tipp verf\u00fcgbar","tipLabel":"Tipp","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"autoCheck":false,"caseSensitive":true,"showSolutionsRequiresInput":true,"separateLines":false,"confirmCheckDialog":false,"confirmRetryDialog":false,"acceptSpellingErrors":false},"scoreBarLabel":"Du hast :num von :total Punkten erreicht.","confirmCheck":{"header":"Beenden?","body":"Ganz sicher beenden?","cancelLabel":"Abbrechen","confirmLabel":"Beenden"},"confirmRetry":{"header":"Wiederholen?","body":"Ganz sicher wiederholen?","cancelLabel":"Abbrechen","confirmLabel":"Best\u00e4tigen"},"questions":["
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Teilbarkeit durch 3<\/span><\/span><\/strong><\/span>
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e) Wie erh\u00e4lt man aus den Ziffern der Zahl 234 sofort die Anzahl der \u00fcbrig bleibenden M\u00fcnzen?<\/p>\n","summaries":[{"subContentId":"b1644631-0a38-439d-ada1-ba83a37febfb","summary":["
Die Quersumme der Zahl 234 ergibt die Anzahl der \u00fcbrigen M\u00fcnzen.<\/p>\n","
Die letzte Ziffer der Zahl 234 ergibt die Anzahl der \u00fcbrigen M\u00fcnzen.<\/p>\n","
Multipliziert man die Ziffern der Zahl 234 erh\u00e4lt man die Anzahl der \u00fcbrigen M\u00fcnzen.<\/p>\n"],"tip":""}],"overallFeedback":[{"from":0,"to":100}],"solvedLabel":"Fortschritt:","scoreLabel":"Falsche Antworten:","resultLabel":"Dein Ergebnis","labelCorrect":"Richtig.","labelIncorrect":"Falsch! Bitte versuche es noch einmal.","alternativeIncorrectLabel":"Falsch","labelCorrectAnswers":"Richtige Antwort(en).","tipButtonLabel":"Tipp anzeigen","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","progressText":"Fortschritt :num von :total"},"subContentId":"72d2add1-2ef2-440d-ba53-40b40c9e8a41","metadata":{"contentType":"Summary","license":"U","title":"Unbenannt: Summary"}},"alwaysDisplayComments":false,"backgroundOpacity":85,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":65.8307210031348,"y":27.849256965944274,"width":31.03448275862069,"height":67.49226006191951,"action":{"library":"H5P.TrueFalse 1.8","params":{"media":{"disableImageZooming":false},"correct":"true","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false},"l10n":{"trueText":"Wahr","falseText":"Falsch","score":"Du hast @score von @total Punkten erreicht.","checkAnswer":"\u00dcberpr\u00fcfen","showSolutionButton":"L\u00f6sung anzeigen","tryAgain":"Wiederholen","wrongAnswerMessage":"Falsche Antwort","correctAnswerMessage":"Richtige Antwort","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","submitAnswer":"Submit","a11yCheck":"Die Antworten \u00fcberpr\u00fcfen. Die Antwort wird als richtig, falsch oder unbeantwortet markiert.","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtige L\u00f6sung wird in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Versuche werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet."},"confirmCheck":{"header":"Beenden?","body":"Ganz sicher beenden?","cancelLabel":"Abbrechen","confirmLabel":"Beenden"},"confirmRetry":{"header":"Wiederholen?","body":"Ganz sicher wiederholen?","cancelLabel":"Abbrechen","confirmLabel":"Best\u00e4tigen"},"question":"
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Teilbarkeit durch 3<\/span><\/span><\/strong><\/span><\/p>\n\n
g) Wenn du die einzelnen Ziffern einer Zahl addierst, erh\u00e4ltst du ihre Quersumme. Z.B. hat die Zahl 4132 die Quersumme 4+ I +3+2 = 10. Wie kann man mithilfe der Quersumme einer Zahl schnell entscheiden, ob sie durch 3 teilbar ist? Formuliere dein Ergebnis als Regel. <\/span><\/span><\/span><\/span><\/p>\n"},"subContentId":"a804776d-3c38-4851-ae9e-0d5300b84cf1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"alwaysDisplayComments":false,"backgroundOpacity":85,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":0,"y":40.247678018575854,"width":93.73040752351098,"height":52.012383900928796,"action":{"library":"H5P.Summary 1.10","params":{"intro":"W\u00e4hle die korrekte Aussage.","summaries":[{"subContentId":"10b3bd1f-5970-43df-a8bc-27be5b3e494e","summary":["
Ist die Quersumme einer Zahl durch 3 teilbar so ist auch die Zahl durch 3 teilbar.<\/p>\n","
Ist die Quersumme einer Zahl durch 3 teilbar so ist die Zahl nicht durch 3 teilbar.<\/p>\n","
Ist die Quersumme einer Zahl durch 3 teilbar so kann man daraus keine Schl\u00fcsse auf die Zahl ziehen.<\/p>\n"],"tip":""}],"overallFeedback":[{"from":0,"to":100}],"solvedLabel":"Fortschritt:","scoreLabel":"Falsche Antworten:","resultLabel":"Dein Ergebnis","labelCorrect":"Richtig.","labelIncorrect":"Falsch! Bitte versuche es noch einmal.","alternativeIncorrectLabel":"Falsch","labelCorrectAnswers":"Richtige Antwort(en).","tipButtonLabel":"Tipp anzeigen","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","progressText":"Fortschritt :num von :total"},"subContentId":"902b74e9-ad40-4ce5-9690-9d83842549d6","metadata":{"contentType":"Summary","license":"U","title":"Unbenannt: Summary"}},"alwaysDisplayComments":false,"backgroundOpacity":85,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{"imageSlideBackground":{"path":"images\/imageSlideBackground-5e9a2d93b4000.png","mime":"image\/png","copyright":{"license":"CC BY","title":"Schokolade","author":"Pixabay","year":"2020","source":"https:\/\/pixabay.com\/de\/photos\/schokoladentafel-schokolade-3124025\/","version":"4.0"},"width":1920,"height":1040}}},{"elements":[{"x":1.5673981191222568,"y":0,"width":95.45454545454545,"height":24.148606811145513,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"
Teilbarkeit durch 3<\/span><\/span><\/strong><\/span>
\nOma Dora sammelt 1-\u20ac-M\u00fcnzen. Sie hat insgesamt 2 S\u00e4ckchen mit je 100 M\u00fcnzen, 3 S\u00e4ckchen mit je 10 M\u00fcnzen und 4 einzelne M\u00fcnzen. Dora m\u00f6chte die M\u00fcnzen ihren Enkeln Marc, Lukas und Fabian schenken.<\/span><\/span><\/span><\/p>\n"},"subContentId":"a804776d-3c38-4851-ae9e-0d5300b84cf1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"alwaysDisplayComments":false,"backgroundOpacity":85,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.567398119122257,"y":24.76780185758514,"width":40,"height":40,"action":{"library":"H5P.Blanks 1.14","params":{"media":{"disableImageZooming":false},"text":"
a) Wie viele M\u00fcnzen hat Oma Dora insgesamt gesammelt?<\/p>\n","overallFeedback":[{"from":0,"to":100}],"showSolutions":"L\u00f6sung anzeigen","tryAgain":"Wiederholen","checkAnswer":"\u00dcberpr\u00fcfen","notFilledOut":"Bitte f\u00fclle alle L\u00fccken aus, um die L\u00f6sung ansehen zu k\u00f6nnen","answerIsCorrect":"':ans' ist korrekt","answerIsWrong":"':ans' ist falsch","answeredCorrectly":"Korrekt beantwortet","answeredIncorrectly":"Falsch beantwortet","solutionLabel":"Korrekte Antwort:","inputLabel":"L\u00fccke @num von @total","inputHasTipLabel":"Tipp verf\u00fcgbar","tipLabel":"Tipp","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"autoCheck":false,"caseSensitive":true,"showSolutionsRequiresInput":true,"separateLines":false,"confirmCheckDialog":false,"confirmRetryDialog":false,"acceptSpellingErrors":false},"scoreBarLabel":"Du hast :num von :total Punkten erreicht.","confirmCheck":{"header":"Beenden?","body":"Ganz sicher beenden?","cancelLabel":"Abbrechen","confirmLabel":"Beenden"},"confirmRetry":{"header":"Wiederholen?","body":"Ganz sicher wiederholen?","cancelLabel":"Abbrechen","confirmLabel":"Best\u00e4tigen"},"questions":["
*234*<\/p>\n"],"submitAnswer":"Submit","a11yCheck":"Die Antworten \u00fcberpr\u00fcfen. Die Eingaben werden als richtig, falsch oder unbeantwortet markiert.","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtigen L\u00f6sungen werden in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Eingaben werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet.","a11yCheckingModeHeader":"\u00dcberpr\u00fcfen-Modus aktiv"},"subContentId":"3ea36400-3457-497f-9891-602497c6290b","metadata":{"contentType":"Fill in the Blanks","license":"U","title":"Unbenannt: Fill in the Blanks"}},"alwaysDisplayComments":false,"backgroundOpacity":85,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":1.567398119122257,"y":68.11145510835914,"width":39.6551724137931,"height":24.148606811145513,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"
Oma Dora ist nicht gut im Kopfrechnen. Sie m\u00f6chte aber trotzdem wissen, ob sie jedem ihrer Enkel gleich viele M\u00fcnzen schenken kann. Sie geht dabei wie folgt vor: <\/strong><\/p>\n"},"subContentId":"d0666cb0-28c8-4728-ad2e-f9f06778338c","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"alwaysDisplayComments":false,"backgroundOpacity":85,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":47.02194357366771,"y":24.76780185758514,"width":45.924764890282134,"height":73.6842105263158,"action":{"library":"H5P.Blanks 1.14","params":{"media":{"disableImageZooming":false},"text":"
b) 100 ist nicht durch 3 teilbar. Wie viele M\u00fcnzen muss Dora aus einem Hunderters\u00e4ckchen herausnehmen, damit die restlichen M\u00fcnzen im S\u00e4ckchen durch 3 teilbar sind?<\/p>\n","overallFeedback":[{"from":0,"to":100}],"showSolutions":"L\u00f6sung anzeigen","tryAgain":"Wiederholen","checkAnswer":"\u00dcberpr\u00fcfen","notFilledOut":"Bitte f\u00fclle alle L\u00fccken aus, um die L\u00f6sung ansehen zu k\u00f6nnen","answerIsCorrect":"':ans' ist korrekt","answerIsWrong":"':ans' ist falsch","answeredCorrectly":"Korrekt beantwortet","answeredIncorrectly":"Falsch beantwortet","solutionLabel":"Korrekte Antwort:","inputLabel":"L\u00fccke @num von @total","inputHasTipLabel":"Tipp verf\u00fcgbar","tipLabel":"Tipp","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"autoCheck":false,"caseSensitive":true,"showSolutionsRequiresInput":true,"separateLines":false,"confirmCheckDialog":false,"confirmRetryDialog":false,"acceptSpellingErrors":false},"scoreBarLabel":"Du hast :num von :total Punkten erreicht.","confirmCheck":{"header":"Beenden?","body":"Ganz sicher beenden?","cancelLabel":"Abbrechen","confirmLabel":"Beenden"},"confirmRetry":{"header":"Wiederholen?","body":"Ganz sicher wiederholen?","cancelLabel":"Abbrechen","confirmLabel":"Best\u00e4tigen"},"questions":["
*1*<\/p>\n\n
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