// Numbas version: exam_results_page_options
{"name": "Division nach Adam Ries", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Division nach Adam Ries", "tags": [], "metadata": {"description": "<p>Division durch eine einstellige Zahl gem&auml;&szlig; dem 2. Rechenbuch</p>", "licence": "Creative Commons Attribution-ShareAlike 4.0 International"}, "statement": "<p>Nach Adam Ries sei die Aufgabe $\\var{c}:\\var{a}$ schriftlich zu berechnen.</p>", "advice": "<p><strong>Erster Schritt:</strong> Wir schreiben unter die 2. Stelle den Divisor, also $\\var{a}$. Wir&nbsp;rechnen $\\var{(c1)*10+c2}:\\var{a}=\\var{b_digits[0]}$, als Rest erhalten wir $\\var{carry1}$, den wir &uuml;ber die 2. Ziffer notieren.</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\">{carry1}</td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: center; ; vertical-align: middle;\">{c1}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{c2}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{c3}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{c4}</td>\n<td style=\"text-align: center; vertical-align: middle;\">|</td>\n<td style=\"text-align: center; vertical-align: middle;\">{b_digits[0]}</td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\">{a}</td>\n<td style=\"text-align: center; vertical-align: middle;\">\u200b</td>\n<td style=\"text-align: center; vertical-align: middle;\">\u200b</td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n</tr>\n</tbody>\n</table>\n<p><strong>Zweiter&nbsp;Schritt:</strong> Wir schreiben unter die 3. Stelle den Divisor, also wieder $\\var{a}$. Wir&nbsp;rechnen $\\var{(carry1)*10+c3}:\\var{a}=\\var{b_digits[1]}$, als Rest erhalten wir $\\var{carry2}$, den wir &uuml;ber die 3. Ziffer notieren.</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\">{carry1}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{carry2}</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: center; ; vertical-align: middle;\">{c1}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{c2}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{c3}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{c4}</td>\n<td style=\"text-align: center; vertical-align: middle;\">|</td>\n<td style=\"text-align: center; vertical-align: middle;\">{b_digits[0]}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{b_digits[1]}</td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\">{a}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{a}\u200b</td>\n<td style=\"text-align: center; vertical-align: middle;\">\u200b</td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\"></td>\n</tr>\n</tbody>\n</table>\n<p><strong>Dritter Schritt:</strong> Wir schreiben unter die letzte Stelle wieder den Divisor, also $\\var{a}$.&nbsp;Wir rechnen $\\var{(carry1*10+floor(mod(c,100)/10)-b_digits[1]*a)*10+c4}:\\var{a}=\\var{b_digits[2]}$. Das geht sich ohne Rest aus, also haben wir die L&ouml;sung $\\var{b}$ gefunden.</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\">{carry1}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{carry2}</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: center; ; vertical-align: middle;\">{c1}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{c2}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{c3}</td>\n<td style=\"text-align: center; vertical-align: middle;\">{c4}</td>\n<td style=\"text-align: center; vertical-align: middle;\">|</td>\n<td style=\"text-align: center; vertical-align: middle;\">{b_digits[0]}</td>\n<td style=\"text-align: center; vertical-align: 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center;\"></td>\n<td style=\"text-align: center; vertical-align: middle;\">[[3]]</td>\n<td style=\"text-align: center; vertical-align: middle;\">[[4]]</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: center; ; vertical-align: middle;\">\n<h2>{c1}</h2>\n</td>\n<td style=\"text-align: center; vertical-align: middle;\">\n<h2>{c2}</h2>\n</td>\n<td style=\"text-align: center; vertical-align: middle;\">\n<h2>{c3}</h2>\n</td>\n<td style=\"text-align: center; vertical-align: middle;\">\n<h2>{c4}</h2>\n</td>\n<td style=\"text-align: center; vertical-align: middle;\">\n<h2>|</h2>\n</td>\n<td style=\"text-align: center; vertical-align: middle;\">[[5]]</td>\n<td style=\"text-align: center; vertical-align: middle;\">[[6]]</td>\n<td style=\"text-align: center; vertical-align: 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