// Numbas version: exam_results_page_options {"name": "Desimal til br\u00f8k, br\u00f8k til desimal", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Desimal til br\u00f8k, br\u00f8k til desimal", "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "", "advice": "

b) La $\\var{d/(10^c-1)}\\ldots=x$

\n

Ganger med $\\var{10^c}$ begge sider av likningen

\n

$\\var{(10^c)*d/(10^c-1)}\\ldots=\\var{10^c}x$

\n

Trekker $x$ som er likt $\\var{d/(10^c-1)}\\ldots$ fra begge sidene

\n

$\\var{(10^c)*d/(10^c-1)}\\ldots-\\var{d/(10^c-1)}\\ldots=\\var{10^c}x-x$

\n

Da

\n

$\\var{d}=\\var{10^c-1}x$

\n

og $x$ blir

\n

$x=\\frac{\\var{d}}{\\var{10^c-1}}$

\n

eller

\n

$\\var{d/(10^c-1)}\\ldots=\\frac{\\var{d}}{\\var{10^c-1}}$

", "rulesets": {}, "extensions": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(3 .. 11#4)", "description": "", "templateType": "randrange"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(13 .. 19#3)", "description": "", "templateType": "randrange"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(2 .. 4#1)", "description": "", "templateType": "randrange"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(50 .. 10000#2)", "description": "", "templateType": "randrange"}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "10^{c}-1", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "c", "d", "f"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Skriv brøken $\\dfrac{\\var{b}}{\\var{a}}$ som desimaltall ved å utføre divisjonen for hånd. Avrund svaret til tre desimaler.

", "minValue": "{b/a}", "maxValue": "{b/a}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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, "prompt": "

$\\var{d/(10^c-1)}$...

", "minValue": "{d}/{f}", "maxValue": "{d}/{f}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Elena Malyutina", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7213/"}]}]}], "contributors": [{"name": "Elena Malyutina", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7213/"}]}