// Numbas version: finer_feedback_settings
{"name": "Q5 Solve Scientific Notation problems", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["num1", "num11", "num12", "num13", "num2", "po", "po1", "num3", "ans1", "ans2", "ans3"], "name": "Q5 Solve Scientific Notation problems", "tags": ["rebelmaths"], "advice": "<p>Add the powers first.</p>\n<p>Multiply the numbers above the line and multiply the numbers below the line.</p>\n<p>Then divide the total above the line by the total below the line.</p>\n<p>Move the decimal point until only one number is to the left of it.</p>\n<p>Add or subtract the number of times the decimal was moved, to the number to the power of 10.</p>\n<p>(Add to the power if decimal is moved to the left, and subtract from the power if he decimal is moved to the right)</p>\n<p>e.g.</p>\n<p>$\\frac{3&nbsp;\\times10^4&nbsp;\\times&nbsp;2&nbsp;\\times10^5}{6&nbsp;\\times10^-3\\times&nbsp;4&nbsp;\\times10^7}$</p>\n<p>=&nbsp;$(\\frac{3&nbsp;\\times&nbsp;2 }{6 \\times&nbsp;4} )\\times (\\frac{10^4 \\times 10^5}{10^-3\\times 10^7})$</p>\n<p>=&nbsp;$(\\frac{6 }{24} )\\times (\\frac{10^9}{10^4})$</p>\n<p>=&nbsp;$(0.25)\\times (10^5)$</p>\n<p>=&nbsp;$2.5\\times 10^4$</p>", "rulesets": {}, "parts": [{"prompt": "<p>i) $\\frac{\\var{num1[3]}\\times10^\\var{num11}\\times\\var{num1[4]}\\times10^\\var{num12}}{\\var{num1[5]}\\times10^\\var{num13}}$</p>\n<p>[[0]]</p>\n<p>ii) $\\frac{\\var{num2[0]}\\times10^\\var{num2[1]}\\times\\var{num2[2]}\\times10^\\var{num2[3]}}{\\var{num2[4]}\\times10^\\var{num2[5]}}$</p>\n<p>[[1]]</p>\n<p>iii) $\\frac{\\var{num3[0]}\\times10^\\var{po[1]}\\times\\var{num3[1]}\\times10^\\var{po1}}{\\var{num3[2]}\\times10^\\var{po[2]}\\times\\var{num3[3]}\\times10^\\var{po[3]}}$</p>\n<p>[[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ans1}+0.000001", "minValue": "{ans1}-0.000001", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ans2}+0.000001", "minValue": "{ans2}-0.000001", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ans3}+0.000001", "minValue": "{ans3}-0.000001", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>Evaluate each of the following without using a calculator:</p>\n<p>Answer in decimal form, and round answers off to 2 decimal places.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"num1": {"definition": "shuffle(2..9)[0..6]", "templateType": "anything", "group": "Ungrouped variables", "name": "num1", "description": ""}, "num2": {"definition": "shuffle(2..9)[0..6]", "templateType": "anything", "group": "Ungrouped variables", "name": "num2", "description": ""}, "num3": {"definition": "shuffle(2..5#0.1)[0..4]", "templateType": "anything", "group": "Ungrouped variables", "name": "num3", "description": ""}, "ans1": {"definition": "(num1[3]*10^num11*num1[4]*10^num12)/(num1[5]*10^num13)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "(num2[0]*10^num2[1]*num2[2]*10^num2[3])/(num2[4]*10^num2[5])", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "(num3[0]*10^po[1]*num3[1]*10^po1)/(num3[2]*10^po[2]*num3[3]*10^po[3])", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "po1": {"definition": "-1*po[0]", "templateType": "anything", "group": "Ungrouped variables", "name": "po1", "description": ""}, "num12": {"definition": "-1*num1[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "num12", "description": ""}, "num13": {"definition": "-1*num1[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "num13", "description": ""}, "num11": {"definition": "-1*num1[0]", "templateType": "anything", "group": "Ungrouped variables", "name": "num11", "description": ""}, "po": {"definition": "shuffle(2..9)[0..4]", "templateType": "anything", "group": "Ungrouped variables", "name": "po", "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/"}], "resources": []}]}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}