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{"name": "The order of operations: the four basic operations", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["a", "b", "c", "ans1", "d", "f", "g", "ans2", "ans3", "list"], "statement": "<p>Write the following questions down on paper and evaluate them&nbsp;without using a calculator.</p>\n<p>If you are unsure of how to do&nbsp;a question, click on&nbsp;<em>Show steps</em>&nbsp;to see the full working. Then, once you understand how to do the question, click on&nbsp;<em>Try another question like this one</em>&nbsp;to start again.</p>", "tags": ["order of operations", "precedence"], "variable_groups": [], "rulesets": {}, "parts": [{"customMarkingAlgorithm": "", "showFeedbackIcon": true, "prompt": "<p>$\\var{a}+\\var{b}\\times\\var{c}=$&nbsp;[[0]]</p>", "sortAnswers": false, "steps": [{"variableReplacementStrategy": "originalfirst", "marks": 0, "customMarkingAlgorithm": "", "showFeedbackIcon": true, "prompt": "<p>The order of operation dictates that we deal with multiplication (and division) before addition (and subtraction), that is&nbsp;</p>\n<table>\n<tbody>\n<tr>\n<td>$\\var{a}+\\var{b}\\times\\var{c}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{a}+\\var{b*c}$</td>\n</tr>\n<tr>\n<td></td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{ans1}$</td>\n</tr>\n</tbody>\n</table>", "unitTests": [], "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "scripts": {}, "type": "information", "showCorrectAnswer": true}], "variableReplacementStrategy": "originalfirst", "stepsPenalty": "1", "type": "gapfill", "showCorrectAnswer": true, "marks": 0, "unitTests": [], "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "scripts": {}, "gaps": [{"customMarkingAlgorithm": "", "maxValue": "{ans1}", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "showCorrectAnswer": true, "marks": 1, "mustBeReduced": false, "unitTests": [], "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "{ans1}", "allowFractions": false, "scripts": {}, "notationStyles": ["plain", "en", "si-en"]}]}, {"customMarkingAlgorithm": "", "showFeedbackIcon": true, "prompt": "<p>$\\var{d}-\\var{f}\\div\\var{g}=$&nbsp;[[0]]</p>", "sortAnswers": false, "steps": [{"variableReplacementStrategy": "originalfirst", "marks": 0, "customMarkingAlgorithm": "", "showFeedbackIcon": true, "prompt": "<p>The order of operation dictates that we deal with multiplication (and division) before addition (and subtraction), that is&nbsp;</p>\n<table>\n<tbody>\n<tr>\n<td>$\\var{d}-\\var{f}\\div\\var{g}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{d}-\\var{a}$</td>\n</tr>\n<tr>\n<td></td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{ans2}$</td>\n</tr>\n</tbody>\n</table>", "unitTests": [], "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "scripts": {}, "type": "information", "showCorrectAnswer": true}], "variableReplacementStrategy": "originalfirst", "stepsPenalty": "1", "type": "gapfill", "showCorrectAnswer": true, "marks": 0, "unitTests": [], "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "scripts": {}, "gaps": [{"customMarkingAlgorithm": "", "maxValue": "{ans2}", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "correctAnswerFraction": true, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "showCorrectAnswer": true, "marks": 1, "mustBeReduced": false, "unitTests": [], "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "{ans2}", "allowFractions": true, "scripts": {}, "notationStyles": ["plain", "en", "si-en"]}]}, {"customMarkingAlgorithm": "", "showFeedbackIcon": true, "prompt": "<p>$\\var{d}\\times\\var{c}-\\var{b}\\times\\var{a}+\\var{g^2}\\div \\var{g}=$&nbsp;[[0]]</p>", "sortAnswers": false, "steps": [{"variableReplacementStrategy": "originalfirst", "marks": 0, "customMarkingAlgorithm": "", "showFeedbackIcon": true, "prompt": "<p>The order of operation dictates that we deal with multiplication and&nbsp;division before addition and subtraction, that is&nbsp;</p>\n<table>\n<tbody>\n<tr>\n<td>$\\var{d}\\times\\var{c}-\\var{b}\\times\\var{a}+\\var{g^2}\\div \\var{g}$</td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{d*c}-\\var{a*b}+\\var{g}$</td>\n</tr>\n<tr>\n<td></td>\n<td>$=$</td>\n<td style=\"text-align: left;\">$\\var{ans3}$</td>\n</tr>\n</tbody>\n</table>", "unitTests": [], "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "scripts": {}, "type": "information", "showCorrectAnswer": true}], "variableReplacementStrategy": "originalfirst", "stepsPenalty": "1", "type": "gapfill", "showCorrectAnswer": true, "marks": 0, "unitTests": [], "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "scripts": {}, "gaps": [{"customMarkingAlgorithm": "", "maxValue": "{ans3}", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "correctAnswerFraction": true, "variableReplacementStrategy": "originalfirst", "type": "numberentry", "showCorrectAnswer": true, "marks": 1, "mustBeReduced": false, "unitTests": [], "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "minValue": "{ans3}", "allowFractions": true, "scripts": {}, 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"d*c-a*b+g", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3"}, "b": {"description": "", "definition": "list[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "b"}, "list": {"description": "", "definition": "shuffle(2..12)[0..4]", "templateType": "anything", "group": "Ungrouped variables", "name": "list"}}, "functions": {}, "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "name": "The order of operations: the four basic operations", "advice": "", "preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "extensions": [], "type": "question", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}