// Numbas version: exam_results_page_options
{"name": "Simon's copy of Decimal Places and Significant Figures", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"tags": [], "ungrouped_variables": ["numa1", "numa2", "numb1", "numb2", "ans1", "ans2", "numc1", "numc2", "ans3", "numd1", "numd2", "ans4", "d3", "d1", "d2", "e3", "e1", "e2", "f3", "f1", "f2", "g3", "g1", "g2", "h3", "h1", "h2", "sig", "dec", "rand1", "rand2", "rand3", "rand4", "rand5"], "variablesTest": {"maxRuns": 100, "condition": ""}, "functions": {"rand": {"definition": "random(1..4)", "language": "jme", "type": "number", "parameters": []}}, "variable_groups": [], "name": "Simon's copy of Decimal Places and Significant Figures", "statement": "<p>Round each of the following to the given level of accuracy:</p>", "variables": {"dec": {"name": "dec", "definition": "random(0.0001..0.0009#0.0000001)  ", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "numb2": {"name": "numb2", "definition": "random(0.002..0.009#0.001)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "h2": {"name": "h2", "definition": "random(1.225..1.975#0.05)  ", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "g1": {"name": "g1", "definition": "random(21.1..31.1#0.2)  ", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "d1": {"name": "d1", "definition": "random(0.2..0.8#0.1)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "f1": {"name": "f1", "definition": "random(0.0022..0.0049#0.0001)  ", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "e1": {"name": "e1", "definition": "random(0.0002..0.0009)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "rand5": {"name": "rand5", "definition": "random(1..4 except {rand4} except{rand3})", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans1": {"name": "ans1", "definition": "numa1*numa2", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "h3": {"name": "h3", "definition": "h1*h2", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "rand2": {"name": "rand2", "definition": "random(1..4 except {rand1})", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "numa1": {"name": "numa1", "definition": "random(0.0011..0.0035)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "e3": {"name": "e3", "definition": "e1*e2", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "numc2": {"name": "numc2", "definition": "random(0.0011..0.0059#0.0001)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "rand1": {"name": "rand1", "definition": "rand()", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "sig": {"name": "sig", "definition": "random(800..2000#0.0001)  ", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans2": {"name": "ans2", "definition": "numb1*numb2", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans3": {"name": "ans3", "definition": "numc1*numc2", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "g2": {"name": "g2", "definition": "random(0.0022..0.0049#0.0001)  ", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "d3": {"name": "d3", "definition": "d1*d2", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "numb1": {"name": "numb1", "definition": "random(0.000033..0.000079#0.000001)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "numd2": {"name": "numd2", "definition": "random(0.0201..0.0299#0.0002)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "g3": {"name": "g3", "definition": "g1*g2", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "h1": {"name": "h1", "definition": "random(0.0022..0.0055#0.000001)  ", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "numc1": {"name": "numc1", "definition": "random(1.2..1.4#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "f3": {"name": "f3", "definition": "f1*f2", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "f2": {"name": "f2", "definition": "random(50000..100000#0.5)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "rand4": {"name": "rand4", "definition": "random(1..4 except{rand3})", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "ans4": {"name": "ans4", "definition": "numd1*numd2", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "rand3": {"name": "rand3", "definition": "rand()", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "d2": {"name": "d2", "definition": "random(50.5..69.5#0.5)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "e2": {"name": "e2", "definition": "random(50000..100000#0.5)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "numa2": {"name": "numa2", "definition": "random(0.11..0.19#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "numd1": {"name": "numd1", "definition": "random(20.1..91.1#0.2)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}}, "metadata": {"description": "<p>Decimal Places and Significant Figures</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "advice": "<p><span style=\"text-decoration: underline;\"><strong>When rounding to a given number of decimal places</strong></span></p>\n<p>When rounding to a given number of decimal places, do the following</p>\n<p>Look at the next number after the last number of the decimal places you need to round to</p>\n<p>If the number is 5 or greater, round up, if it is less than 5, leave as is. E.g.</p>\n<p>Round the following to 3 decimal places</p>\n<p>$0.0055 = 0.006$</p>\n<p>$0.0071 = 0.007$</p>\n<p></p>\n<p><span style=\"text-decoration: underline;\"><strong>When rounding to a given number of significant&nbsp;figures</strong></span></p>\n<p>When rounding to a given number of significant figures, we use the same method as with decimal places, but we start counting from the first non-zero number (not the decimal point)</p>\n<p>Look at the next number after the last number of the significant figures you need to round to. If the number is 5 or greater, round up, if it is less than 5, leave as is.</p>\n<p>N.B. Remember to keep the number you rounded to the significant number of places in the same unit e.g. 10's, 100's etc</p>\n<p>Round the following to 3 significant figures&nbsp;</p>\n<p>$2573 = 2570$ (NOT 257!)</p>\n<p>$0.07828 = 0.0783$&nbsp; (we count 3 places starting at the 7, not at the decimal point)</p>\n<p>Round the following to&nbsp;1 significant figures</p>\n<p>$15 = 20$</p>\n<p>$38851 = 40000$</p>", "parts": [{"extendBaseMarkingAlgorithm": true, "scripts": {}, "type": "gapfill", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "variableReplacements": [], "gaps": [{"extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "scripts": {}, "precisionMessage": "", "maxValue": "{sig}", "allowFractions": false, "precisionType": "dp", "variableReplacementStrategy": "originalfirst", "marks": 1, "variableReplacements": [], "precision": "2", "minValue": "{sig}", "unitTests": [], "showPrecisionHint": false, "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "mustBeReducedPC": 0, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "precisionPartialCredit": "0", "showCorrectAnswer": true, "strictPrecision": true}, {"extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "scripts": {}, "precisionMessage": "", "maxValue": "{sig}", "allowFractions": false, "precisionType": "dp", "variableReplacementStrategy": "originalfirst", "marks": 1, "variableReplacements": [], "precision": "1", "minValue": "{sig}", "unitTests": [], "showPrecisionHint": false, "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "mustBeReducedPC": 0, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "precisionPartialCredit": 0, "showCorrectAnswer": true, "strictPrecision": true}, {"extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "scripts": {}, "precisionMessage": "", "maxValue": "{sig}", "allowFractions": false, "precisionType": "sigfig", "variableReplacementStrategy": "originalfirst", "marks": 1, "variableReplacements": [], "precision": "3", "minValue": "{sig}", "unitTests": [], "showPrecisionHint": false, "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "mustBeReducedPC": 0, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "precisionPartialCredit": 0, "showCorrectAnswer": true, "strictPrecision": true}, {"extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "scripts": {}, "precisionMessage": "", "maxValue": "{sig}", "allowFractions": false, "precisionType": "sigfig", "variableReplacementStrategy": "originalfirst", "marks": 1, "variableReplacements": [], "precision": "2", "minValue": "{sig}", "unitTests": [], "showPrecisionHint": false, "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "mustBeReducedPC": 0, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "precisionPartialCredit": 0, "showCorrectAnswer": true, "strictPrecision": true}, {"extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "scripts": {}, "precisionMessage": "", "maxValue": "{sig}", "allowFractions": false, "precisionType": "sigfig", "variableReplacementStrategy": "originalfirst", "marks": 1, "variableReplacements": [], "precision": "1", "minValue": "{sig}", "unitTests": [], "showPrecisionHint": false, "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "mustBeReducedPC": 0, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "precisionPartialCredit": 0, "showCorrectAnswer": true, "strictPrecision": false}], "prompt": "<p>Round off $\\var{sig}$ to:</p>\n<p>i)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2 decimal places&nbsp; &nbsp;[[0]]</p>\n<p>ii)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1 decimal place &nbsp;&nbsp;[[1]]</p>\n<p>iii)&nbsp;&nbsp;&nbsp;&nbsp;3 significant figures&nbsp; &nbsp; &nbsp;&nbsp;[[2]]</p>\n<p>iv)&nbsp;&nbsp;&nbsp;&nbsp;2 significant figures&nbsp; &nbsp; &nbsp;&nbsp;[[3]]</p>\n<p>v)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1 significant figure &nbsp; &nbsp; &nbsp;[[4]]</p>", "marks": 0, "sortAnswers": false, "unitTests": [], "customMarkingAlgorithm": "", "showCorrectAnswer": true}, {"extendBaseMarkingAlgorithm": true, "scripts": {}, "type": "gapfill", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "variableReplacements": [], "gaps": [{"extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "scripts": {}, "precisionMessage": "", "maxValue": "{dec}", "allowFractions": false, "precisionType": "dp", "variableReplacementStrategy": "originalfirst", "marks": 1, "variableReplacements": [], "precision": "4", "minValue": "{dec}", "unitTests": [], "showPrecisionHint": false, "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "mustBeReducedPC": 0, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "precisionPartialCredit": 0, "showCorrectAnswer": true, "strictPrecision": true}, {"extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "scripts": {}, "precisionMessage": "", "maxValue": "{dec}", "allowFractions": false, "precisionType": "dp", "variableReplacementStrategy": "originalfirst", "marks": 1, "variableReplacements": [], "precision": "5", "minValue": "{dec}", "unitTests": [], "showPrecisionHint": false, "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "mustBeReducedPC": 0, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "precisionPartialCredit": "0", "showCorrectAnswer": true, "strictPrecision": true}, {"extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "siground({dec},3)", "variableReplacements": [], "customMarkingAlgorithm": "", "marks": 1, "showFeedbackIcon": true, "unitTests": [], "showCorrectAnswer": true, "maxValue": "siground({dec},3)"}, {"extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "siground({dec},2)", "variableReplacements": [], "customMarkingAlgorithm": "", "marks": 1, "showFeedbackIcon": true, "unitTests": [], "showCorrectAnswer": true, "maxValue": "siground({dec},2)"}, {"extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "minValue": "siground({dec},1)", "variableReplacements": [], "customMarkingAlgorithm": "", "marks": 1, "showFeedbackIcon": true, "unitTests": [], "showCorrectAnswer": true, "maxValue": "siground({dec},1)"}], "prompt": "<p>Round off $\\var{dec}$ to:</p>\n<p>i)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;4 decimal places &nbsp; [[0]]</p>\n<p>ii)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;5 decimal places&nbsp; &nbsp;[[1]]</p>\n<p>iii)&nbsp;&nbsp;&nbsp;&nbsp;3 significant figures&nbsp; &nbsp; &nbsp;[[2]]</p>\n<p>iv)&nbsp;&nbsp;&nbsp;&nbsp;2 significant figures&nbsp; &nbsp; &nbsp;&nbsp;[[3]]</p>\n<p>v)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1 significant figure &nbsp; &nbsp; &nbsp;[[4]]</p>", "marks": 0, "sortAnswers": false, "unitTests": [], "customMarkingAlgorithm": "", "showCorrectAnswer": true}], "preamble": {"js": "", "css": ""}, "rulesets": {}, "extensions": [], "type": "question", "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}