// Numbas version: finer_feedback_settings
{"name": "31.i Powers of 10 to standard form", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "31.i Powers of 10 to standard form", "tags": ["converting", "scientific notation", "standard form"], "metadata": {"description": "<p>Convert numbers between 0 and 1 intro standard form/scientific notation.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Write the following number in standard form.</p>", "advice": "<p>First notice that $\\var{Num1}\\times 10^\\var{Pow1}$ is not in standard form since $\\var{Num1}$ is not between 1 and 10. There are two options for how to put this in standard form. We could first write $\\var{Num1}\\times 10^\\var{Pow1}$ as an ordinary number which would give us</p>\n<p>\\[\\var{Num1}\\times 10^\\var{Pow1}=\\var{Num1*10^Pow1}\\]</p>\n<p>which we can then write in standard form as</p>\n<p>\\[\\var{Num1*10^Pow1}=\\var{dec2}\\times 10^\\var{pow2}.\\]</p>\n<p>Alternatively, we can write $\\var{Num1}$ in standard form which would give us</p>\n<p>\\[\\var{Num1}\\times 10^\\var{Pow1}=\\var{dec2}\\times10^\\var{DecOffset}\\times 10^\\var{Pow1}\\]</p>\n<p>and then we simply use the rules of exponents to multiply the two powers of 10 together to get</p>\n<p>\\[\\var{dec2}\\times10^\\var{DecOffset}\\times 10^\\var{Pow1}=\\var{dec2}\\times 10^\\var{pow2}.\\]</p>\n<p><a href=\"https://www.sheffield.ac.uk/mash/maths-resources/maths-all#Standard\"><span style=\"font-weight: 400;\">Use this link to find some resources which will help you revise this topic.</span></a></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"pow2": {"name": "pow2", "group": "Ungrouped variables", "definition": "Pow1+DecOffset", "description": "", "templateType": "anything", "can_override": false}, "dec2": {"name": "dec2", "group": "Ungrouped variables", "definition": "random(1.1..9.9#0.001)", "description": "", "templateType": "anything", "can_override": false}, "q2": {"name": "q2", "group": "Ungrouped variables", "definition": "dec2*10^DecOffset*10^Pow1", "description": "", "templateType": "anything", "can_override": false}, "adjpow": {"name": "adjpow", "group": "Ungrouped variables", "definition": "If(round(mod(dec2*1000,10))<>0,3-pow2,If(round(mod(dec2*1000,100))<>0,2-pow2,If(round(mod(dec2*1000,1000))<>0,1-pow2,0-pow2)))", "description": "", "templateType": "anything", "can_override": false}, "DecOffset": {"name": "DecOffset", "group": "Ungrouped variables", "definition": "random(-4..4 except 0)", "description": "", "templateType": "anything", "can_override": false}, "Pow1": {"name": "Pow1", "group": "Ungrouped variables", "definition": "random(-9..9 except 0)", "description": "", "templateType": "anything", "can_override": false}, "Num1": {"name": "Num1", "group": "Ungrouped variables", "definition": "dec2*10^DecOffset", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "pow2<>0", "maxRuns": 100}, "ungrouped_variables": ["dec2", "pow2", "q2", "adjpow", "DecOffset", "Pow1", "Num1"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\var{Num1}\\times 10^\\var{Pow1}=$ [[0]]$\\times 10$&nbsp;<sup>[[1]]&nbsp;</sup>.</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{dec2}", "maxValue": "{dec2}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, 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