// Numbas version: exam_results_page_options
{"name": "Negative Numbers: Multiplication and Division", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Negative Numbers: Multiplication and Division", "tags": [], "metadata": {"description": "<p>Calculate: $ a_1 \\times a_2 \\times a_3 \\times a_4 $ and $ \\frac{b_1 \\times b_2 \\times b_3 \\times b_4}{b_5 \\times b_6} $</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Calculate the following:</p>", "advice": "<p><span data-jme-visible=\"even_a\">a) Ignoring the signs $ \\var{abs(a)} \\times \\var{abs(b)} \\times \\var{abs(c)} \\times \\var{abs(d)} = \\var{abs(a)*abs(b)*abs(c)*abs(d)} $. </span></p>\n<p><span data-jme-visible=\"even_a\">Since there are $ \\var{length(filter(x&lt;0,x,[a,b,c,d]))}$ negative signs in the question, which is even, the answer is positive. </span></p>\n<p><span data-jme-visible=\"even_a\">This means the answer is: $ \\var{a} \\times \\var{b} \\times \\var{c} \\times \\var{d}= \\var{a*b*c*d} $.</span></p>\n<p><span data-jme-visible=\"odd_a\">a) Ignoring the signs $ \\var{abs(a)} \\times \\var{abs(b)} \\times \\var{abs(c)} \\times \\var{abs(d)} = \\var{abs(a)*abs(b)*abs(c)*abs(d)} $. </span></p>\n<p><span data-jme-visible=\"odd_a\">Since there are $\\var{length(filter(x&lt;0,x,[a,b,c,d]))}$ negative signs in the question, which is odd, the answer is negative. </span></p>\n<p><span data-jme-visible=\"odd_a\">This means the asnwer is, $ \\var{a} \\times \\var{b} \\times \\var{c} \\times \\var{d}= \\var{a*b*c*d} $.&nbsp;</span></p>\n<p><span data-jme-visible=\"even_b\">b) Ignoring the signs $ \\frac{ \\var{abs(b1)} \\times \\var{abs(b2)} \\times \\var{abs(b3)}}{ \\var{abs(b4)}&nbsp; \\times \\var{abs(b5)}} = \\frac{ \\var{abs(b1)*abs(b2)*abs(b3)} }{ \\var{abs(b4)*abs(b5)}} =&nbsp; \\var{abs(b1)*abs(b2)*abs(b3) / (abs(b4)*abs(b5))} $ . </span></p>\n<p><span data-jme-visible=\"even_b\">Since the number of negative signs in the question is even the answer is positive. </span></p>\n<p><span data-jme-visible=\"even_b\">Therefore the answer is: $ \\var{(b1)*(b2)*(b3) / ((b4)*(b5))} $</span> </p>\n<p><span data-jme-visible=\"odd_b\">b)Ignoring the signs $ \\frac{ \\var{abs(b1)} \\times \\var{abs(b2)} \\times \\var{abs(b3)}}{ \\var{abs(b4)}&nbsp; \\times \\var{abs(b5)}} = \\frac{ \\var{abs(b1)*abs(b2)*abs(b3)} }{ \\var{abs(b4)*abs(b5)}} =&nbsp; \\var{abs(b1)*abs(b2)*abs(b3) / (abs(b4)*abs(b5))} $ . </span></p>\n<p><span data-jme-visible=\"odd_b\">Since the number of negative signs in the question is odd the answer is negative. </span></p>\n<p><span data-jme-visible=\"odd_b\">Therefore the answer is: $ \\var{(b1)*(b2)*(b3) / ((b4)*(b5))} $</span></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], 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