// Numbas version: exam_results_page_options
{"name": " 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": [{"advice": "", "variable_groups": [], "functions": {"spacenumber": {"type": "string", "language": "javascript", "parameters": [["n", "number"]], "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] : \"\");"}}, "preamble": {"css": "", "js": ""}, "ungrouped_variables": ["dec1", "pow1", "q1", "dec2", "pow2", "q2"], "parts": [{"scripts": {}, "unitTests": [], "marks": 0, "gaps": [{"scripts": {}, "unitTests": [], "marks": 1, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "mustBeReduced": false, "correctAnswerFraction": false, "extendBaseMarkingAlgorithm": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "maxValue": "{q1}", "showCorrectAnswer": true, "minValue": "{q1}"}], "customMarkingAlgorithm": "", "variableReplacements": [], "steps": [{"scripts": {}, "unitTests": [], "marks": 0, "customMarkingAlgorithm": "", "variableReplacements": [], "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>", "extendBaseMarkingAlgorithm": true, "type": "information", "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}], "showFeedbackIcon": true, "stepsPenalty": "1", "prompt": "<p>$\\var{dec1}\\times 10^\\var{pow1}$&nbsp;=&nbsp;[[0]]</p>", "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}, {"scripts": {}, "unitTests": [], "marks": 0, "gaps": [{"scripts": {}, "unitTests": [], "marks": 1, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "mustBeReduced": false, "correctAnswerFraction": false, "extendBaseMarkingAlgorithm": true, "type": "numberentry", "variableReplacementStrategy": "originalfirst", "maxValue": "{q2}", "showCorrectAnswer": true, "minValue": "{q2}"}], "customMarkingAlgorithm": "", "variableReplacements": [], "steps": [{"scripts": {}, "unitTests": [], "marks": 0, "customMarkingAlgorithm": "", "variableReplacements": [], "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>", "extendBaseMarkingAlgorithm": true, "type": "information", "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}], "showFeedbackIcon": true, "stepsPenalty": "1", "prompt": "<p>$\\var{dec2}\\times 10^\\var{pow2}$&nbsp;=&nbsp;[[0]]</p>", "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}], "tags": ["converting", "scientific notation", "standard form"], "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>", "extensions": [], "variables": {"dec1": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(1.1..9.9#0.01)", "name": "dec1"}, "pow2": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(4..8 except pow1)", "name": "pow2"}, "q1": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "precround(dec1*10^pow1,0)", "name": "q1"}, "pow1": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(2..6)", "name": "pow1"}, "dec2": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(1.1..9.9#0.001)", "name": "dec2"}, "q2": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "precround(dec2*10^pow2,0)", "name": "q2"}}, "variablesTest": {"maxRuns": 100, "condition": ""}, "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "name": " Scientific notation: scientific notation to large numbers", "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/"}]}