// Numbas version: exam_results_page_options
{"name": "Will's copy of  Scientific notation: scientific notation to large numbers", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "", "variable_groups": [], "name": "Will's copy of  Scientific notation: scientific notation to large numbers", "ungrouped_variables": ["dec1", "pow1", "q1", "dec2", "pow2", "q2"], "extensions": [], "parts": [{"stepsPenalty": "1", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "gaps": [{"correctAnswerFraction": false, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "allowFractions": false, "unitTests": [], "extendBaseMarkingAlgorithm": true, "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 1, "minValue": "{q1}", "maxValue": "{q1}", "variableReplacements": [], "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "scripts": {}, "type": "numberentry"}], "prompt": "<p>$\\var{dec1}\\times 10^\\var{pow1}$&nbsp;=&nbsp;[[0]]</p>", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "extendBaseMarkingAlgorithm": true, "type": "gapfill", "steps": [{"marks": 0, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "unitTests": [], "prompt": "<p>A number is in scientific notation if it is written as a decimal multiplied by some power of 10, where the decimal has exactly one digit in front of the decimal place. For example:</p>\n<p>\\[1.234\\times 10^6, \\quad \\text{and} \\quad 3.01\\times 10^{-3}\\]</p>\n<p>are both in scientific notation.</p>\n<p></p>\n<hr/>\n<p>Recall that multiplying by powers of 10 moves the decimal point, for example multiplying a number by $10^\\var{pow1}$ (which is the same as multiplying by $\\var{10^pow1}$) moves the decimal point&nbsp;$\\var{pow1}$ places to make the number bigger (the decimal point moves to the right). In particular:</p>\n<p>\\[\\var{dec1}\\times 10^\\var{pow1}= \\var{q1}\\]</p>\n<p><em>Note there is a decimal point after the last zero that we do not write simply because there is no reason to.</em></p>", "type": "information", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}}], "variableReplacements": [], "sortAnswers": false, "unitTests": []}, {"stepsPenalty": "1", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "gaps": [{"correctAnswerFraction": false, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "allowFractions": false, "unitTests": [], "extendBaseMarkingAlgorithm": true, "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 1, "minValue": "{q2}", "maxValue": "{q2}", "variableReplacements": [], "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "scripts": {}, "type": "numberentry"}], "prompt": "<p>$\\var{dec2}\\times 10^\\var{pow2}$&nbsp;=&nbsp;[[0]]</p>", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "extendBaseMarkingAlgorithm": true, "type": "gapfill", "steps": [{"marks": 0, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "unitTests": [], "prompt": "<p>A number is in scientific notation if it is written as a decimal multiplied by some power of 10, where the decimal has exactly one digit in front of the decimal place. For example:</p>\n<p>\\[1.234\\times 10^6, \\quad \\text{and} \\quad 3.01\\times 10^{-3}\\]</p>\n<p>are both in scientific notation.</p>\n<p></p>\n<hr/>\n<p>Recall that multiplying by powers of 10 moves the decimal point, for example multiplying a number by $10^\\var{pow2}$ (which is the same as multiplying by $\\var{10^pow2}$) moves the decimal point&nbsp;$\\var{pow2}$ places to make the number bigger (the decimal point moves to the right). In particular:</p>\n<p>\\[\\var{dec2}\\times 10^\\var{pow2}= \\var{q2}\\]</p>\n<p><em>Note there is a decimal point after the last zero that we do not write simply because there is no reason to.</em></p>", "type": "information", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}}], "variableReplacements": [], "sortAnswers": false, "unitTests": []}], "variables": {"q2": {"name": "q2", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "precround(dec2*10^pow2,0)"}, "dec2": {"name": "dec2", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1.1..9.9#0.001)"}, "q1": {"name": "q1", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "precround(dec1*10^pow1,0)"}, "pow2": {"name": "pow2", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(4..8 except pow1)"}, "pow1": {"name": "pow1", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..6)"}, "dec1": {"name": "dec1", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1.1..9.9#0.01)"}}, "functions": {"spacenumber": {"parameters": [["n", "number"]], "language": "javascript", "type": "string", "definition": "var parts=n.toString().split(\".\");\n        if(parts[1] && parts[1].length<2) {\n      parts[1]+='0';\n        }\n        return parts[0].replace(/\\B(?=(\\d{3})+(?!\\d))/g, \" \") + (parts[1] ? \", \" + parts[1] : \"\");"}}, "rulesets": {}, "statement": "<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>\n<p></p>\n<p>Write the following numbers in decimal&nbsp;notation.</p>", "tags": ["converting", "scientific notation", "standard form"], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "type": "question", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Will Armour", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3293/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Will Armour", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3293/"}]}