// Numbas version: exam_results_page_options
{"name": "Mock exam Scientific notation: small numbers to scientific notation", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["dec1", "pow1", "q1", "dec2", "pow2", "q2"], "name": "Mock exam Scientific notation: small numbers to scientific notation", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"stepsPenalty": "1", "prompt": "<p>$\\var{q1}$ =&nbsp;[[0]]$\\times 10$&nbsp;<sup>[[1]]</sup></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"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}\\]&nbsp;</p>\n<p>are both in scientific notation.</p>\n<hr/>\n<p>Suppose we have the number $0.00023$. In scientific notation, this number would start with $2.3$ since we only want one digit in front of the decimal point. So the decimal point was here $0.00023$ and needs to move to between the $2$ and the $3$ here&nbsp;$2.3$. Count the places that the decimal point must jump between and you get $4$ places. That is,</p>\n<p></p>\n<p>\\[0.00023=2.3\\times 10^{-4}\\]</p>\n<p></p>\n<p>We have a <em>negative four</em> as the power because we need to make the number $2.3$ <em>smaller</em> to get to $0.00023$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{dec1}", "minValue": "{dec1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": false, "scripts": {}, "marks": 1, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow1}", "minValue": "{pow1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": false, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": "1", "prompt": "<p>$\\var{q2}$ =&nbsp;[[0]]$\\times 10$&nbsp;<sup>[[1]]</sup></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"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}\\]&nbsp;</p>\n<p>are both in scientific notation.</p>\n<hr/>\n<p>Suppose we have the number $0.00023$. In scientific notation, this number would start with $2.3$ since we only want one digit in front of the decimal point. So the decimal point was here $0.00023$ and needs to move to between the $2$ and the $3$ here&nbsp;$2.3$. Count the places that the decimal point must jump between and you get $4$ places. That is,</p>\n<p></p>\n<p>\\[0.00023=2.3\\times 10^{-4}\\]</p>\n<p></p>\n<p>We have a <em>negative four</em> as the power because we need to make the number $2.3$ <em>smaller</em> to get to $0.00023$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{dec2}", "minValue": "{dec2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": false, "scripts": {}, "marks": 1, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow2}", "minValue": "{pow2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": false, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<h2><strong>Question 6 of 14</strong></h2>\n<p>Write the following numbers in scientific notation.</p>\n<p>For the power of 10 just write the number not &nbsp;^ number</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"q1": {"definition": "precround(dec1*10^pow1,14)", "templateType": "anything", "group": "Ungrouped variables", "name": "q1", "description": ""}, "q2": {"definition": "precround(dec2*10^pow2,14)", "templateType": "anything", "group": "Ungrouped variables", "name": "q2", "description": ""}, "pow2": {"definition": "random(list(-6..-1) except pow1)", "templateType": "anything", "group": "Ungrouped variables", "name": "pow2", "description": ""}, "pow1": {"definition": "random(-1..-6)", "templateType": "anything", "group": "Ungrouped variables", "name": "pow1", "description": ""}, "dec1": {"definition": "random(1.1..9.9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "dec1", "description": ""}, "dec2": {"definition": "random(1.1..9.9#0.001)", "templateType": "anything", "group": "Ungrouped variables", "name": "dec2", "description": ""}}, "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "steve kilgallon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/268/"}]}]}], "contributors": [{"name": "steve kilgallon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/268/"}]}