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{"name": "Johan's copy of Rounding to 0, 1, 2 and 3 decimal places", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "variables": {"number4": {"definition": "precround(ans4,3)+'49'+random('9','8','7','6','5')", "name": "number4", "group": "Ungrouped variables", "description": "<p>this is to see if the student rounds from the end of the number instead of just looking at the fourth decimal place.</p>", "templateType": "anything"}, "ans4": {"definition": "random(0.001..0.999#0.001)", "name": "ans4", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "number3": {"definition": "random(10..90#0.1)+trick+random(0.00555,0.00666,0.00777,0.00888,0.00999)", "name": "number3", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "number1": {"definition": "random(10.001..300#0.0003)", "name": "number1", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "number2": {"definition": "random(10.001..300#0.0003)", "name": "number2", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "trick": {"definition": "random(0.04,0.05, 0.06, 0.07, 0.08)", "name": "trick", "group": "Ungrouped variables", "description": "", "templateType": "anything"}}, "parts": [{"variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>{number1} to the nearest whole number is&nbsp;[[0]].</p>", "gaps": [{"precision": 0, "scripts": {}, "showFeedbackIcon": true, "precisionMessage": "You have not given your answer to the correct precision.", "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "correctAnswerFraction": false, "marks": 1, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "minValue": "{number1}", "precisionPartialCredit": 0, "mustBeReducedPC": 0, "precisionType": "dp", "strictPrecision": true, "type": "numberentry", "showCorrectAnswer": true, "allowFractions": false, "correctAnswerStyle": "plain", "maxValue": "{number1}", "mustBeReduced": false}], "marks": 0, "showCorrectAnswer": true}, {"variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>{number2} rounded to one decimal place is&nbsp;[[0]].</p>", "gaps": [{"precision": "1", "scripts": {}, "showFeedbackIcon": true, "precisionMessage": "You have not given your answer to the correct precision.", "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "correctAnswerFraction": false, "marks": 1, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "minValue": "{number2}", "precisionPartialCredit": 0, "mustBeReducedPC": 0, "precisionType": "dp", "strictPrecision": true, "type": "numberentry", "showCorrectAnswer": true, "allowFractions": false, "correctAnswerStyle": "plain", "maxValue": "{number2}", "mustBeReduced": false}], "marks": 0, "showCorrectAnswer": true}, {"variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>{number3} rounded to two decimal places is&nbsp;[[0]].</p>", "gaps": [{"precision": "2", "scripts": {}, "showFeedbackIcon": true, "precisionMessage": "You have not given your answer to the correct precision.", "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "correctAnswerFraction": false, "marks": 1, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "minValue": "{number3}", "precisionPartialCredit": 0, "mustBeReducedPC": 0, "precisionType": "dp", "strictPrecision": true, "type": "numberentry", "showCorrectAnswer": true, "allowFractions": false, "correctAnswerStyle": "plain", "maxValue": "{number3}", "mustBeReduced": false}], "marks": 0, "showCorrectAnswer": true}, {"variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>{number4} rounded to three decimal places is&nbsp;[[0]].</p>", "gaps": [{"precision": "3", "scripts": {}, "showFeedbackIcon": true, "precisionMessage": "You have not given your answer to the correct precision.", "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "correctAnswerFraction": false, "marks": 1, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "minValue": "{ans4}", "precisionPartialCredit": 0, "mustBeReducedPC": 0, "precisionType": "dp", "strictPrecision": true, "type": "numberentry", "showCorrectAnswer": true, "allowFractions": false, "correctAnswerStyle": "plain", "maxValue": "{ans4}", "mustBeReduced": false}], "marks": 0, "showCorrectAnswer": true}], "preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "name": "Johan's copy of Rounding to 0, 1, 2 and 3 decimal places", "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Round random numbers to&nbsp;the closest whole number, 1 to 3 decimals places. Also rounding that could&nbsp;show common misunderstandings.</p>"}, "ungrouped_variables": ["number1", "number2", "trick", "number3", "ans4", "number4"], "functions": {}, "extensions": [], "advice": "<p>When we are rounding we look at the first digit that we might discard. If it is $5$ or greater we round up. If it is less than $5$ we round down.</p>\n<p>a) To round to the nearest whole number, we look at the first decimal place to decide whether to round up or down.</p>\n<p>b) To round to one decimal place, we look at the second decimal place to decide whether to round up or down.</p>\n<p>c) To round to two decimal places, we look at the third decimal place to decide whether to round up or down.</p>\n<p>d) To round to three decimal places, we look at the fourth decimal place to decide whether to round up or down.</p>", "tags": [], "statement": "<p>Round the following numbers to the indicated precision.</p>", "rulesets": {}, "type": "question", "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}]}], "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}