// Numbas version: exam_results_page_options
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Dazu bestimmen wird die Primfaktorzerlegung von $\\var{Nenner}$ das ist $2^\\var{p2}\\cdot5^\\var{p5}$.</p>\n<p>Wir w&auml;hlen jetzt die Zehnerpotenz $10^\\var{max(p2,p5)}$ aus, die als Exponent das Maximum der Exponenten von $2$ und $5$ hat. Der resultierende Dezimalbruch ist also: $\\frac{\\var{Zaehler}\\cdot\\var{10^max(p2,p5)/Nenner}}{\\var{Nenner}\\cdot\\var{10^max(p2,p5)/Nenner}}=\\frac{\\var{Zaehler*10^max(p2,p5)/Nenner}}{\\var{10^max(p2,p5)}}=\\var{formatnumber(Bruch,\"eu\")}$.</p>\n<p><strong>L&ouml;sung zu b):</strong></p>\n<p>Wir ermitteln eine Zehnerpotenz, die so viele Nullen hat, wie unser Dezimalbruch Nachkommastellen, das ist $1000$. Als Dezimalbruch ergibt sich zun&auml;chst $\\frac{\\var{Zaehler2}}{\\var{Nenner2}}$. Diesen Bruch kann man noch k&uuml;rzen und erh&auml;lt dann als Ergebnis $\\var[fractionNumbers]{Dezimalbruch}$.</p>\n<p><strong>L&ouml;sung zu c):</strong></p>\n<p>Hier musst Du die schriftliche Division bis zur 4. Nachkommastelle durchf&uuml;hren und dann passend auf- oder abrunden.</p>", "rulesets": {}, "extensions": [], "variables": {"p2": {"name": "p2", "group": "Ungrouped variables", "definition": "random(2..4)", "description": "", "templateType": "anything"}, "p5": {"name": "p5", "group": "Ungrouped variables", "definition": "random(0,1)", "description": "", "templateType": "anything"}, "Nenner": {"name": "Nenner", "group": "Ungrouped variables", "definition": "2^p2*5^p5", "description": "", "templateType": "anything"}, "Zaehler": {"name": "Zaehler", "group": "Ungrouped variables", "definition": "2*random(1..Nenner/2)-1", "description": "", "templateType": "anything"}, "Bruch": {"name": "Bruch", "group": "Ungrouped variables", "definition": "Zaehler/Nenner", "description": "", "templateType": "anything"}, "Zaehler2": {"name": "Zaehler2", "group": "Ungrouped variables", "definition": "random(41,42,43,44,46,47,49,51,52,53,54,56,57,58,59,61)*6", "description": "", "templateType": "anything"}, 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