// Numbas version: exam_results_page_options {"name": "BIDMAS: Precedence of operators 3a", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "BIDMAS: Precedence of operators 3a", "tags": [], "metadata": {"description": "
Questions testing understanding of the precedence of operators using BIDMAS applied to integers.
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "Evaluate the following expressions:
", "advice": "Start by calculating within any brackets. Then evaluate any powers. Then evaluate the expression remaining using DMAS. Pay particular attention to minus signs in part (c) and (d).
\na)
\n$\\var{a2} \\times \\var{b2}^\\var{c2} - \\var{d2} \\times \\var{e2} ^ \\var{f2}$
$=\\var{a2} \\times \\var{b2^c2}-\\var{d2} \\times \\var{e2^f2}$
$=\\var{a2*b2^c2} -\\var{d2*e2^f2}$
$=\\var{a2*b2^c2-d2*e2^f2}$
b)
\n($\\var{a3} \\times \\var{b3})^\\var{c3}$
$=\\var{a3*b3}^\\var{c3}$
$=\\var{(a3*b3)^c3}$
c)
\n$\\var{a2}+\\var{b2} \\times (\\var{-c2})^\\var{e2} +(\\var{e2}-\\var{f2})^\\var{g2}$
$=\\var{a2}+\\var{b2} \\times (\\var{(-c2)^e2}) +(\\var{e2-f2})^\\var{g2}$
$=\\var{a2}+\\var{b2*((-c2)^e2)} +\\var{(e2-f2)^g2}$
$=\\var{a2+b2*(-c2)^e2 +(e2-f2)^g2}$
$\\var{a2} \\times \\var{b2}^\\var{c2} - \\var{d2} \\times \\var{e2} ^ \\var{f2}$
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