// Numbas version: finer_feedback_settings
{"name": "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": [{"type": "question", "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": {"condition": "", "maxRuns": 100}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Decimal Places and Significant Figures</p>\n<p>rebelmaths</p>"}, "functions": {"rand": {"type": "number", "language": "jme", "parameters": [], "definition": "random(1..4)"}}, "variable_groups": [], "tags": [], "preamble": {"css": "", "js": ""}, "parts": [{"type": "gapfill", "scripts": {}, "gaps": [{"notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": "0", "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{sig}", "strictPrecision": true, "showCorrectAnswer": true, "mustBeReducedPC": 0, "precisionMessage": "", "precision": "2", "showFeedbackIcon": true, "unitTests": [], "correctAnswerStyle": "plain", "precisionType": "dp", "mustBeReduced": false, "scripts": {}, "maxValue": "{sig}", "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false}, {"notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": 0, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{sig}", "strictPrecision": true, "showCorrectAnswer": true, "mustBeReducedPC": 0, "precisionMessage": "", "precision": "1", "showFeedbackIcon": true, "unitTests": [], "correctAnswerStyle": "plain", "precisionType": "dp", "mustBeReduced": false, "scripts": {}, "maxValue": "{sig}", "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false}, {"notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": 0, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{sig}", "strictPrecision": true, "showCorrectAnswer": true, "mustBeReducedPC": 0, "precisionMessage": "", "precision": "3", "showFeedbackIcon": true, "unitTests": [], "correctAnswerStyle": "plain", "precisionType": "sigfig", "mustBeReduced": false, "scripts": {}, "maxValue": "{sig}", "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false}, {"notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": 0, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{sig}", "strictPrecision": true, "showCorrectAnswer": true, "mustBeReducedPC": 0, "precisionMessage": "", "precision": "2", "showFeedbackIcon": true, "unitTests": [], "correctAnswerStyle": "plain", "precisionType": "sigfig", "mustBeReduced": false, "scripts": {}, "maxValue": "{sig}", "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false}, {"notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": 0, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{sig}", "strictPrecision": false, "showCorrectAnswer": true, "mustBeReducedPC": 0, "precisionMessage": "", "precision": "1", "showFeedbackIcon": true, "unitTests": [], "correctAnswerStyle": "plain", "precisionType": "sigfig", "mustBeReduced": false, "scripts": {}, "maxValue": "{sig}", "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "showPrecisionHint": 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>", "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "variableReplacements": [], "sortAnswers": false, "marks": 0, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "unitTests": []}, {"type": "gapfill", "scripts": {}, "gaps": [{"notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": 0, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{dec}", "strictPrecision": true, "showCorrectAnswer": true, "mustBeReducedPC": 0, "precisionMessage": "", "precision": "4", "showFeedbackIcon": true, "unitTests": [], "correctAnswerStyle": "plain", "precisionType": "dp", "mustBeReduced": false, "scripts": {}, "maxValue": "{dec}", "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false}, {"notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": "0", "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{dec}", "strictPrecision": true, "showCorrectAnswer": true, "mustBeReducedPC": 0, "precisionMessage": "", "precision": "5", "showFeedbackIcon": true, "unitTests": [], "correctAnswerStyle": "plain", "precisionType": "dp", "mustBeReduced": false, "scripts": {}, "maxValue": "{dec}", "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false}, {"notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": 0, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{dec}", "strictPrecision": true, "showCorrectAnswer": true, "mustBeReducedPC": 0, "precisionMessage": "", "precision": "3", "showFeedbackIcon": true, "unitTests": [], "correctAnswerStyle": "plain", "precisionType": "sigfig", "mustBeReduced": false, "scripts": {}, "maxValue": "{dec}", "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false}, {"notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": 0, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{dec}", "strictPrecision": true, "showCorrectAnswer": true, "mustBeReducedPC": 0, "precisionMessage": "", "precision": "2", "showFeedbackIcon": true, "unitTests": [], "correctAnswerStyle": "plain", "precisionType": "sigfig", "mustBeReduced": false, "scripts": {}, "maxValue": "{dec}", "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false}, {"notationStyles": ["plain", "en", "si-en"], "precisionPartialCredit": 0, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{dec}", "strictPrecision": false, "showCorrectAnswer": true, "mustBeReducedPC": 0, "precisionMessage": "", "precision": "1", "showFeedbackIcon": true, "unitTests": [], "correctAnswerStyle": "plain", "precisionType": "sigfig", "mustBeReduced": false, "scripts": {}, "maxValue": "{dec}", "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "allowFractions": false, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false}], "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>", "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "variableReplacements": [], "sortAnswers": false, "marks": 0, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "unitTests": []}], "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 than 5, leave as is; i.e.</p>\n<p>round to 3 decimal places the following</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, do the following</p>\n<p>Look at the next number after the last number of the significant figuresyou need to round to</p>\n<p>If the number is 5 or greater, round up, if it is than 5, leave as is; i.e.</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 to 3 significant figures the following</p>\n<p>$2573 = 2570$</p>\n<p>$7828 = 7830$</p>\n<p>round to&nbsp;1 significant figures the following</p>\n<p>$15 = 20$</p>\n<p>$38851 = 40000$</p>", "variables": {"numb1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "numb1", "definition": "random(0.000033..0.000079#0.000001)"}, "numd2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "numd2", "definition": "random(0.0201..0.0299#0.0002)"}, "dec": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "dec", "definition": "random(0.0001..0.0009#0.0000001)  "}, "numa2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "numa2", "definition": "random(0.11..0.19#0.01)"}, "numc1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "numc1", "definition": "random(1.2..1.4#0.01)"}, "ans2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "ans2", "definition": "numb1*numb2"}, "h1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "h1", "definition": "random(0.0022..0.0055#0.000001)  "}, "d1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "d1", "definition": "random(0.2..0.8#0.1)"}, "numa1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "numa1", "definition": "random(0.0011..0.0035)"}, "d3": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "d3", "definition": "d1*d2"}, "ans3": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "ans3", "definition": "numc1*numc2"}, "numc2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "numc2", "definition": "random(0.0011..0.0059#0.0001)"}, "rand2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "rand2", "definition": "random(1..4 except {rand1})"}, "f2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "f2", "definition": "random(50000..100000#0.5)"}, "ans4": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "ans4", "definition": "numd1*numd2"}, "e3": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "e3", "definition": "e1*e2"}, "numd1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "numd1", "definition": "random(20.1..91.1#0.2)"}, "rand5": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "rand5", "definition": "random(1..4 except {rand4} except{rand3})"}, "rand1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "rand1", "definition": "rand()"}, "ans1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "ans1", "definition": "numa1*numa2"}, "h3": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "h3", "definition": "h1*h2"}, "g1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "g1", "definition": "random(21.1..31.1#0.2)  "}, "sig": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "sig", "definition": "random(800..2000#0.0001)  "}, "d2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "d2", "definition": "random(50.5..69.5#0.5)"}, "f3": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "f3", "definition": "f1*f2"}, "e2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "e2", "definition": "random(50000..100000#0.5)"}, "e1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "e1", "definition": "random(0.0002..0.0009)"}, "g3": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "g3", "definition": "g1*g2"}, "h2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "h2", "definition": "random(1.225..1.975#0.05)  "}, "rand4": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "rand4", "definition": "random(1..4 except{rand3})"}, "f1": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "f1", "definition": "random(0.0022..0.0049#0.0001)  "}, "rand3": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "rand3", "definition": "rand()"}, "g2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "g2", "definition": "random(0.0022..0.0049#0.0001)  "}, "numb2": {"templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "numb2", "definition": "random(0.002..0.009#0.001)"}}, "rulesets": {}, "extensions": [], "statement": "<p>Evaluate each of the following without using a calculator:</p>", "name": "Decimal Places and Significant Figures", "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/"}, {"name": "Andrew McKinley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3717/"}]}]}], "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/"}, {"name": "Andrew McKinley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3717/"}]}