// Numbas version: exam_results_page_options
{"name": "Addition and subtraction of numbers in standard form", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"extensions": [], "variable_groups": [], "name": "Addition and subtraction of numbers in standard form", "functions": {}, "rulesets": {}, "ungrouped_variables": ["B"], "metadata": {"description": "<p>Add two numbers in standard form, then subtract two numbers in standard form.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "advice": "<p>The easiest way to do this is to convert these numbers in standard form&nbsp;into decimals,&nbsp;do the calculation with decimal forms,&nbsp;then change them back into standard form.</p>\n<h4>a)</h4>\n<p style=\"padding-left: 30px;\">\\[\\begin{align} \\var{B[0]} \\times 10^3 + \\var{B[1]} \\times 10^4 &amp;= \\var{B[0]*10^3}&nbsp;+ \\var{B[1]*10^4} \\\\&amp;= \\var{B[0]*10^3 + B[1]*10^4} \\\\&amp;= \\var{(B[0]*10^3 + B[1]*10^4)/10^4} \\times 10^4\\end{align}\\]</p>\n<p style=\"padding-left: 30px;\">&nbsp;</p>\n<h4>b)</h4>\n<p style=\"padding-left: 30px;\">\\[\\begin{align} \\var{B[2]} \\times 10^3&nbsp;- \\var{B[2] - 1.70} \\times 10^2 &amp;= \\var{B[2]*10^3}&nbsp;- \\var{(B[2] - 1.70)*10^2} \\\\&amp;= \\var{(B[2]*10^3)&nbsp;- ((B[2] - 1.70)*10^2)} \\\\&amp;= \\var{(B[2]*10^3 - (B[2] - 1.70)*10^2)/10^3} \\times 10^3\\end{align}\\]</p>", "statement": "<p>Calculate the following and&nbsp;write the result in standard index form (for example, for&nbsp;$2.01\\times 10^5$ we would write <code>2.01*10^5</code> in the gap).</p>", "preamble": {"css": "", "js": ""}, "variables": {"B": {"templateType": "anything", "description": "", "name": "B", "group": "Ungrouped variables", "definition": "repeat(random(3..9 #0.01), 3)"}}, "parts": [{"variableReplacementStrategy": "originalfirst", "prompt": "<p style=\"padding-left: 30px;\">$\\var{B[0]} \\times 10^3 + \\var{B[1]} \\times 10^4 =$&nbsp; [[0]]</p>\n<p></p>\n<p></p>", "gaps": [{"variableReplacementStrategy": "originalfirst", "answer": "{(B[0]*10^3 + B[1]*10^4)/10^4}*10^4", "answersimplification": "!collectnumbers", "vsetrangepoints": 5, "notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["10^-4", "10^(-4)", "+", "-"]}, "checkingtype": "absdiff", "type": "jme", "showpreview": true, "checkvariablenames": false, "checkingaccuracy": 0.001, "vsetrange": [0, 1], "variableReplacements": [], "expectedvariablenames": [], "showFeedbackIcon": true, "musthave": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["*10^4"]}, "marks": 1, "showCorrectAnswer": true, "scripts": {}}], "variableReplacements": [], "showFeedbackIcon": true, "scripts": {}, "type": "gapfill", "marks": 0, "showCorrectAnswer": true}, {"variableReplacementStrategy": "originalfirst", "prompt": "<p style=\"padding-left: 30px;\">$\\var{B[2]} \\times 10^3&nbsp;- \\var{B[2] - 1.70} \\times 10^2 =$&nbsp; [[0]]</p>\n<p></p>\n<p></p>\n<p></p>", "gaps": [{"variableReplacementStrategy": "originalfirst", "answer": "{(B[2]*10^3 - (B[2] - 1.70)*10^2)/10^3}*10^3", "answersimplification": "!collectnumbers", "vsetrangepoints": 5, "notallowed": {"message": "<p>+</p>\n<p></p>", "showStrings": false, "partialCredit": 0, "strings": ["*10^-3", "*10^(-3)", "+", "-"]}, "checkingtype": "absdiff", "type": "jme", "showpreview": true, "checkvariablenames": false, "checkingaccuracy": 0.001, "vsetrange": [0, 1], "variableReplacements": [], "expectedvariablenames": [], "showFeedbackIcon": true, "musthave": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["*10^3"]}, "marks": 1, "showCorrectAnswer": true, "scripts": {}}], "variableReplacements": [], "showFeedbackIcon": true, "scripts": {}, "type": "gapfill", "marks": 0, "showCorrectAnswer": true}], "tags": ["addition", "Addition", "conversion", "converting", "standard form", "standard index form", "subtraction", "taxonomy"], "variablesTest": {"maxRuns": 100, "condition": ""}, "contributors": [{"name": "Stanislav Duris", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1590/"}]}]}], "contributors": [{"name": "Stanislav Duris", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1590/"}]}