// Numbas version: finer_feedback_settings
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true, "prompt": "<p>$\\var{d3}&nbsp;\\div \\var{d1}$</p>\n<p>[[0]]</p>", "marks": 0, "showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "variableReplacementStrategy": "originalfirst", "gaps": [{"scripts": {}, "extendBaseMarkingAlgorithm": true, "type": "numberentry", "showCorrectAnswer": true, "mustBeReduced": false, "marks": 1, "maxValue": "{d2}", "showFeedbackIcon": true, "variableReplacements": [], "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "minValue": "{d2}", "customMarkingAlgorithm": "", "correctAnswerFraction": false, "unitTests": []}], "customMarkingAlgorithm": "", "unitTests": []}, {"scripts": {}, "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "prompt": "<p>$\\var{e3}&nbsp;\\div \\var{e1}$</p>\n<p>[[0]]</p>", "marks": 0, "showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "variableReplacementStrategy": "originalfirst", "gaps": [{"scripts": {}, "extendBaseMarkingAlgorithm": true, "type": "numberentry", "showCorrectAnswer": true, "mustBeReduced": false, "marks": 1, "maxValue": "{e2}", "showFeedbackIcon": true, "variableReplacements": [], "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "minValue": "{e2}", "customMarkingAlgorithm": "", "correctAnswerFraction": false, "unitTests": []}], "customMarkingAlgorithm": "", "unitTests": []}, {"scripts": {}, "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "prompt": "<p>$\\var{f3}&nbsp;\\div \\var{f1}$</p>\n<p>[[0]]</p>", "marks": 0, "showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "variableReplacementStrategy": "originalfirst", "gaps": [{"scripts": {}, "extendBaseMarkingAlgorithm": true, "type": "numberentry", "showCorrectAnswer": true, "mustBeReduced": false, "marks": 1, "maxValue": "{f2}", "showFeedbackIcon": true, "variableReplacements": [], "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "minValue": "{f2}", "customMarkingAlgorithm": "", "correctAnswerFraction": false, "unitTests": []}], "customMarkingAlgorithm": "", "unitTests": []}], "preamble": {"js": "", "css": ""}, "functions": {"rand": {"definition": "random(1..4)", "parameters": [], "language": "jme", "type": "number"}}, "advice": "<p><span style=\"text-decoration: underline;\"><strong>When multipling using decimals</strong></span></p>\n<p>When multipling using decimals, count how many decimal places you need to move the number to make it a whole number e.g</p>\n<p>0.000054 to get to 54, we moved 6 decimal places and 0.004 to get to 4, we moved 3 decimal places</p>\n<p>So if we want to do $0.000054 \\times 0.004$ =&gt; we move the first number 6 decimal places and the second number 3 decimal places</p>\n<p>=&gt; $54 \\times 4 = 216$</p>\n<p>Now since we moved 9 decimal places, altogether to the right, we move the answer 9 decimals places back to the left i.e.</p>\n<p>216 becomes 0.000000216</p>\n<p><span style=\"text-decoration: underline;\"><strong>When&nbsp;dividing using decimals</strong></span></p>\n<p>Keep multiplying both numbers by 10 until the number you are dividing by becomes a whole number. Then carry out a division as normal,&nbsp;keeping the position of any decimal points e.g.</p>\n<p></p>\n<p>If we want to do $25.348 \\div 0.04$ this is the same as&nbsp;$253.48 \\div 0.4$ (multiply both by 10), which is the same as&nbsp;$2534.8 \\div 4$ (multiply both by 10 again).</p>\n<p>Completing the division and maintaining the position of the decimal point gives&nbsp;$\\begin{array}{r}633.7 \\\\ {4}\\overline{)2534.8} \\end{array}$</p>\n<p></p>\n<p></p>\n<p></p>\n<p><span style=\"text-decoration: underline;\"><strong></strong></span></p>", "metadata": {"description": "<p>Multiplying and dividing decimals</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "extensions": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "statement": "<p>Evaluate each of the following without using a calculator:</p>", "rulesets": {}, "name": "Simon's copy of multiplying and dividing with decimals", "ungrouped_variables": ["numa1", "numa2", "numb1", "numb2", 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"definition": "random(50000..100000#0.5)"}, "f2": {"name": "f2", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(5000..10000#0.2)"}, "dec": {"name": "dec", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(0.0001..0.0009#0.0000001)  "}, "f1": {"name": "f1", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(0.11..0.15#0.01)  "}, "numd1": {"name": "numd1", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(20.1..91.1#0.2)"}, "numb2": {"name": "numb2", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(0.002..0.009#0.001)"}, "rand5": {"name": "rand5", "description": "", "templateType": "anything", "group": "Ungrouped variables", "definition": "random(1..4 except {rand4} except{rand3})"}, "numd2": {"name": "numd2", "description": "", 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"group": "Ungrouped variables", "definition": "random(800..2000#0.0001)  "}}, "variable_groups": [], "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/"}]}