// Numbas version: exam_results_page_options {"name": "STAT6012 Decimal Places and Significant Figures Short", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"tags": [], "advice": "

When rounding to a given number of decimal places

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When rounding to a given number of decimal places, do the following

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Look at the next number after the last number of the decimal places you need to round to

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If the number is 5 or greater, round up, if it is than 5, leave as is; i.e.

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round to 3 decimal places the following

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$0.0055 = 0.006$

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$0.0071 = 0.007$

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When rounding to a given number of significant figures

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When rounding to a given number of significant figures, do the following

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Look at the next number after the last number of the significant figuresyou need to round to

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If the number is 5 or greater, round up, if it is than 5, leave as is; i.e.

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N.B. Remember to keep the number you rounded to the significant number of places in the same unit e.g. 10's, 100's etc

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round to 3 significant figures the following

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$2573 = 2570$

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$7828 = 7830$

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round to 1 significant figures the following

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$15 = 20$

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$38851 = 40000$

", "statement": "

Evaluate each of the following without using a calculator:

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"description": ""}, "dec": {"name": "dec", "definition": "random(0.0001..0.0009#0.0000001) ", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "h3": {"name": "h3", "definition": "h1*h2", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "h1": {"name": "h1", "definition": "random(0.0022..0.0055#0.000001) ", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "ans2": {"name": "ans2", "definition": "numb1*numb2", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "d3": {"name": "d3", "definition": "d1*d2", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "d2": {"name": "d2", "definition": "random(50.5..69.5#0.5)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "e1": {"name": "e1", "definition": "random(0.0002..0.0009)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "f1": {"name": "f1", "definition": "random(0.0022..0.0049#0.0001) ", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "numa1": {"name": "numa1", "definition": "random(0.0011..0.0035)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "rand4": {"name": "rand4", "definition": "random(1..4 except{rand3})", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "numc1": {"name": "numc1", "definition": "random(1.2..1.4#0.01)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "f3": {"name": "f3", "definition": "f1*f2", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "e2": {"name": "e2", "definition": "random(50000..100000#0.5)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "sig": {"name": "sig", "definition": "random(800..2000#0.0001) ", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "numd1": {"name": "numd1", "definition": "random(20.1..91.1#0.2)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "ans1": {"name": "ans1", "definition": "numa1*numa2", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "numb2": {"name": "numb2", "definition": "random(0.002..0.009#0.001)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "ans4": {"name": "ans4", "definition": "numd1*numd2", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "rand3": {"name": "rand3", "definition": "rand()", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "numd2": {"name": "numd2", "definition": "random(0.0201..0.0299#0.0002)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "g3": {"name": "g3", "definition": "g1*g2", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "rand1": {"name": "rand1", "definition": "rand()", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "ans3": {"name": "ans3", "definition": "numc1*numc2", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "d1": {"name": "d1", "definition": "random(0.2..0.8#0.1)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "g1": {"name": "g1", "definition": "random(21.1..31.1#0.2) ", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "h2": {"name": "h2", "definition": "random(1.225..1.975#0.05) ", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "f2": {"name": "f2", "definition": "random(50000..100000#0.5)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "rand2": {"name": "rand2", "definition": "random(1..4 except {rand1})", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "numa2": {"name": "numa2", "definition": "random(0.11..0.19#0.01)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}}, "rulesets": {}, "parts": [{"showCorrectAnswer": true, "gaps": [{"maxValue": "{sig}", "showCorrectAnswer": true, "variableReplacements": [], "precisionPartialCredit": "0", "correctAnswerFraction": false, "scripts": {}, "extendBaseMarkingAlgorithm": true, "correctAnswerStyle": "plain", "strictPrecision": false, "showFeedbackIcon": true, "mustBeReducedPC": 0, "precisionMessage": "", "mustBeReduced": false, "precisionType": "dp", "customMarkingAlgorithm": "", "minValue": "{sig}", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "precision": "2", "showPrecisionHint": false, "allowFractions": false, "unitTests": [], "type": "numberentry", "marks": 1}, {"maxValue": "{sig}", "showCorrectAnswer": true, "variableReplacements": [], "precisionPartialCredit": 0, "correctAnswerFraction": false, "scripts": {}, 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Round off $\\var{sig}$ to:

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i)      2 decimal places   [[0]]

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ii)    3 significant figures      [[1]]

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iii)     1 significant figure      [[2]]

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Round off $\\var{dec}$ to:

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i)      4 decimal places   [[0]]

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ii)    3 significant figures     [[1]]

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iii)     1 significant figure      [[2]]

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Decimal Places and Significant Figures

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rebelmaths

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