// Numbas version: exam_results_page_options
{"name": "Q4 Scientific notation to decimal", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["num1", "num2", "num3", "num4", "po", "ans1", "ans2", "ans3", "ans4", "ans5", "po1", "po2", "ans21", "ans22", "num21", "pow", "pow1", "pow2", "pow3", "a1", "a2", "a3", "a4", "a5", "a11", "a12", "a13", "a14", "a15"], "name": "Q4 Scientific notation to decimal", "tags": ["rebelmaths"], "preamble": {"css": "", "js": ""}, "advice": "<p>Part 1</p>\n<p>Move the decimal point \"the power number\" of times to the right for positive power and to the left for negative power:</p>\n<p>$\\var{num1} \\times 10^\\var{po[0]} = \\var{ans1}$</p>\n<p>$\\var{num2} \\times 10^\\var{po1} = \\var{ans2}$</p>\n<p>Part 2</p>\n<p>Count the nmber of times the decimal point has to be moved to get only one number to the left of the decimal point, this count becomes the power on&nbsp;the $\\times 10$.</p>\n<p>If the decimal point is moved to the left the power number is positive and if it is moved to the right the power is negative:</p>\n<p>$\\var{a11} = \\var{num21[0]} \\times 10^\\var{pow[0]}$</p>\n<p></p>", "rulesets": {}, "parts": [{"prompt": "<p><strong>Write each of the following as a decimal number:</strong></p>\n<p>i) $\\var{num1} \\times 10^\\var{po[0]}$</p>\n<p>[[0]]</p>\n<p>ii) $\\var{num2} \\times 10^\\var{po1}$</p>\n<p>[[1]]</p>\n<p>iii) $\\var{num3[0]} \\times 10^\\var{po[2]}$</p>\n<p>[[2]]</p>\n<p>iv) $\\var{num4} \\times 10^\\var{po2}$</p>\n<p>[[3]]</p>\n<p>v) $\\var{num3[1]} \\times 10^\\var{po[4]}$</p>\n<p>[[4]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans1}+0.00001", "minValue": "{ans1}-0.00001", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans2}+0.00001", "strictPrecision": false, "minValue": "{ans2}-0.00001", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "7", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans3}+0.00001", "strictPrecision": false, "minValue": "{ans3}-0.00001", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "1", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans4}+0.00001", "minValue": "{ans4}-0.00001", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans5}+0.00001", "strictPrecision": false, "minValue": "{ans5}-0.00001", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "1", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p><strong>Write each of the following in Scientific Notation:</strong></p>\n<p>i) $\\var{a1}$&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</p>\n<p>[[0]]$\\times$ 10^&nbsp;[[1]]</p>\n<p>ii)&nbsp;$\\var{a2}$&nbsp; &nbsp;</p>\n<p>[[2]]$\\times$ 10^[[3]]</p>\n<p>iii)&nbsp;$\\var{a3}$ &nbsp;&nbsp;</p>\n<p>[[4]]$\\times$ 10^[[5]]</p>\n<p>iv) $\\var{a4}$&nbsp; &nbsp;&nbsp;&nbsp;</p>\n<p>[[6]]$\\times$ 10^[[7]]</p>\n<p>v) $\\var{a5}$&nbsp; &nbsp;&nbsp;</p>\n<p>[[8]]$\\times$ 10^[[9]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{num21[0]}", "strictPrecision": false, "minValue": "{num21[0]}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow[0]}", "minValue": "{pow[0]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{num21[1]}", "strictPrecision": false, "minValue": "{num21[1]}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow1}", "minValue": "{pow1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{num21[2]}", "strictPrecision": false, "minValue": "{num21[2]}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow2}", "minValue": "{pow2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{num21[3]}", "strictPrecision": false, "minValue": "{num21[3]}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow3}", "minValue": "{pow3}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{num21[4]}", "strictPrecision": false, "minValue": "{num21[4]}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow[4]}", "minValue": "{pow[4]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>Answer&nbsp;the following.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"num4": {"definition": "random(5.25..7.75#0.25 except 6 except 7)", "templateType": "anything", "group": "Ungrouped variables", "name": "num4", "description": ""}, "num1": {"definition": "random(7.1..8.9#0.1 except 8)", "templateType": "anything", "group": "Ungrouped variables", "name": "num1", "description": ""}, "num2": {"definition": "random(3..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "num2", "description": ""}, "num3": {"definition": "shuffle(7.001..8.009#0.001)[0..2]", "templateType": "anything", "group": "Ungrouped variables", "name": "num3", "description": ""}, "ans1": {"definition": "num1*10^po[0]", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "num2*10^-po[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "num3[0]*10^po[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "ans4": {"definition": "num4*10^-po[3]", "templateType": "anything", "group": "Ungrouped variables", "name": "ans4", "description": ""}, "ans5": {"definition": "num3[1]*10^po[4]", "templateType": "anything", "group": "Ungrouped variables", "name": "ans5", "description": ""}, "ans22": {"definition": "2", "templateType": "anything", "group": "Ungrouped variables", "name": "ans22", "description": ""}, "ans21": {"definition": "1", "templateType": "anything", "group": "Ungrouped variables", "name": "ans21", "description": ""}, "pow2": {"definition": "-1*pow[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "pow2", "description": ""}, "pow3": {"definition": "-1*pow[3]", "templateType": "anything", "group": "Ungrouped variables", "name": "pow3", "description": ""}, "pow1": {"definition": "-1*pow[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "pow1", "description": ""}, "num21": {"definition": "shuffle(2.001..8.999#0.001)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "name": "num21", "description": ""}, "pow": {"definition": "shuffle(2..8)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "name": "pow", "description": ""}, "po": {"definition": "shuffle(2..7)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "name": "po", "description": ""}, "a15": {"definition": "(precround(a5,10))", "templateType": "anything", "group": "Ungrouped variables", "name": "a15", "description": ""}, "a14": {"definition": "(precround(a4,10))", "templateType": "anything", "group": "Ungrouped variables", "name": "a14", "description": ""}, "a11": {"definition": "(precround(a1,10))", "templateType": "anything", "group": "Ungrouped variables", "name": "a11", "description": ""}, "a13": {"definition": "(precround(a3,10))", "templateType": "anything", "group": "Ungrouped variables", "name": "a13", "description": ""}, "a12": {"definition": "(precround(a2,10))", "templateType": "anything", "group": "Ungrouped variables", "name": "a12", "description": ""}, "po2": {"definition": "-1*po[3]", "templateType": "anything", "group": "Ungrouped variables", "name": "po2", "description": ""}, "po1": {"definition": "-1*po[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "po1", "description": ""}, "a1": {"definition": "num21[0]*10^pow[0]", "templateType": "anything", "group": "Ungrouped variables", "name": "a1", "description": ""}, "a3": {"definition": "num21[2]*(10^pow2)", "templateType": "anything", "group": "Ungrouped variables", "name": "a3", "description": ""}, "a2": {"definition": "num21[1]*(10^pow1)", "templateType": "anything", "group": "Ungrouped variables", "name": "a2", "description": ""}, "a5": {"definition": "num21[4]*10^pow[4]", "templateType": "anything", "group": "Ungrouped variables", "name": "a5", "description": ""}, "a4": {"definition": "num21[3]*10^pow3", "templateType": "anything", "group": "Ungrouped variables", "name": "a4", "description": ""}}, "metadata": {"description": "<p>Scientific Notation</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}]}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}