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"statement": "", "advice": "<table class=\"infobox\" cellpadding=\"1\">\n<tbody>\n<tr>\n<th colspan=\"4\">Metric prefixes in everyday use</th>\n</tr>\n<tr>\n<th>Text</th>\n<th>Symbol</th>\n<th>Multiple of the base unit</th>\n<th>Multiple of the base unit (as a power)</th>\n</tr>\n<tr>\n<td><g class=\"gr_ gr_163 gr-alert gr_spell gr_inline_cards gr_run_anim ContextualSpelling ins-del multiReplace\" id=\"163\" data-gr-id=\"163\">tera</g></td>\n<td>T</td>\n<td><span class=\"nowrap\">1000000000000</span></td>\n<td>10<sup>12</sup></td>\n</tr>\n<tr>\n<td>giga</td>\n<td>G</td>\n<td><span class=\"nowrap\">1000000000</span></td>\n<td>10<sup>9</sup></td>\n</tr>\n<tr>\n<td>mega</td>\n<td>M</td>\n<td><span class=\"nowrap\">1000000</span></td>\n<td>10<sup>6</sup></td>\n</tr>\n<tr>\n<td>kilo</td>\n<td>k</td>\n<td><span class=\"nowrap\">1000</span></td>\n<td>10<sup>3</sup></td>\n</tr>\n<tr>\n<td><g class=\"gr_ gr_164 gr-alert gr_spell gr_inline_cards gr_run_anim ContextualSpelling ins-del multiReplace\" id=\"164\" data-gr-id=\"164\">hecto</g></td>\n<td>h</td>\n<td>100</td>\n<td>10<sup>2</sup></td>\n</tr>\n<tr>\n<td>deca</td>\n<td>da</td>\n<td>10</td>\n<td>10<sup>1</sup></td>\n</tr>\n<tr>\n<td><g class=\"gr_ gr_165 gr-alert gr_spell gr_inline_cards gr_run_anim ContextualSpelling ins-del multiReplace\" id=\"165\" data-gr-id=\"165\">deci</g></td>\n<td>d</td>\n<td>0.1</td>\n<td>10<sup>&minus;1</sup></td>\n</tr>\n<tr>\n<td><g class=\"gr_ gr_166 gr-alert gr_spell gr_inline_cards gr_run_anim ContextualSpelling ins-del multiReplace\" id=\"166\" data-gr-id=\"166\">centi</g></td>\n<td>c</td>\n<td>0.01</td>\n<td>10<sup>&minus;2</sup></td>\n</tr>\n<tr>\n<td>milli</td>\n<td>m</td>\n<td>0.001</td>\n<td>10<sup>&minus;3</sup></td>\n</tr>\n<tr>\n<td>micro</td>\n<td>mc or $\\mu$</td>\n<td><span class=\"nowrap\">0.000001</span></td>\n<td>10<sup>&minus;6</sup></td>\n</tr>\n<tr>\n<td>nano</td>\n<td>n</td>\n<td><span class=\"nowrap\">0.000000001</span></td>\n<td>10<sup>&minus;9</sup></td>\n</tr>\n<tr>\n<td>pico</td>\n<td>p</td>\n<td><span class=\"nowrap\">0.000000000001</span></td>\n<td>10<sup>&minus;12</sup></td>\n</tr>\n</tbody>\n</table>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_x", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>For each prefix listed on the left click the button that corresponds to the correct abbreviation listed above.</p>", "minMarks": 0, "maxMarks": 0, "minAnswers": 0, "maxAnswers": 0, "shuffleChoices": true, "shuffleAnswers": false, "displayType": "radiogroup", "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["pico", "nano", "micro", "milli", "centi", "deci", "kilo", "mega", "giga", "tera"], "matrix": [["1", 0, 0, 0, 0, 0, 0, 0, 0, 0], ["0", "1", 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, "1", 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, "1", 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, "1", 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, "1", 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, "1", 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, "1", 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, "1", 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, "1"]], "layout": {"type": "all", "expression": ""}, "answers": ["p", "n", "mc or $\\mu$", "m", "c", "d", "k", "M", "G", "T"]}, {"type": "m_n_x", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, 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"Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Catherine Palmer", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/423/"}, {"name": "Patricia Cogan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3359/"}], "tags": ["decimal", "rebel", "REBEL", "Rebel", "rebelmaths", "significant"], "metadata": {"description": "<p>Decimal Places and Significant Figures</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Evaluate each of the following:</p>", "advice": "<p><span style=\"text-decoration: underline;\"><strong>When rounding to a given number of decimal places</strong></span></p>\n<p>When rounding to a given number of decimal places, do the following</p>\n<p>Look at the next number after the last number of the decimal places you need to round to</p>\n<p>If the number is 5 or greater, round up, if it is than 5, leave as is; i.e.</p>\n<p>round to 3 decimal places the following</p>\n<p>$0.0055 = 0.006$</p>\n<p>$0.0071 = 0.007$</p>\n<p></p>\n<p><span style=\"text-decoration: underline;\"><strong>When rounding to a given number of significant&nbsp;figures</strong></span></p>\n<p>When rounding to a given number of significant figures, do the following</p>\n<p>Look at the next number after the last number of the significant figuresyou need to round to</p>\n<p>If the number is 5 or greater, round up, if it is than 5, leave as is; i.e.</p>\n<p>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</p>\n<p>round to 3 significant figures the following</p>\n<p>$2573 = 2570$</p>\n<p>$7828 = 7830$</p>\n<p>round to&nbsp;1 significant figures the following</p>\n<p>$15 = 20$</p>\n<p>$38851 = 40000$</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"f1": {"name": "f1", "group": "Ungrouped variables", "definition": "random(0.0022..0.0049#0.0001)  ", "description": "", "templateType": "anything", "can_override": false}, "f2": {"name": "f2", "group": "Ungrouped variables", "definition": "random(50000..100000#0.5)", "description": "", "templateType": "anything", "can_override": false}, "f3": {"name": "f3", "group": "Ungrouped variables", "definition": "f1*f2", "description": "", "templateType": "anything", "can_override": false}, "numa2": {"name": "numa2", "group": "Ungrouped variables", "definition": 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"description": "", "templateType": "anything", "can_override": false}, "h3": {"name": "h3", "group": "Ungrouped variables", "definition": "h1*h2", "description": "", "templateType": "anything", "can_override": false}, "numb2": {"name": "numb2", "group": "Ungrouped variables", "definition": "random(0.002..0.009#0.001)", "description": "", "templateType": "anything", "can_override": false}, "numb1": {"name": "numb1", "group": "Ungrouped variables", "definition": "random(0.000033..0.000079#0.000001)", "description": "", "templateType": "anything", "can_override": false}, "h1": {"name": "h1", "group": "Ungrouped variables", "definition": "random(0.0022..0.0055#0.000001)  ", "description": "", "templateType": "anything", "can_override": false}, "g3": {"name": "g3", "group": "Ungrouped variables", "definition": "g1*g2", "description": "", "templateType": "anything", "can_override": false}, "g2": {"name": "g2", "group": "Ungrouped variables", "definition": "random(0.0022..0.0049#0.0001)  ", "description": "", "templateType": "anything", "can_override": false}, "g1": {"name": "g1", "group": "Ungrouped variables", "definition": "random(21.1..31.1#0.2)  ", "description": "", "templateType": "anything", "can_override": false}, "numd1": {"name": "numd1", "group": "Ungrouped variables", "definition": "random(20.1..91.1#0.2)", "description": "", "templateType": "anything", "can_override": false}, "numd2": {"name": "numd2", "group": "Ungrouped variables", "definition": "random(0.0201..0.0299#0.0002)", "description": "", "templateType": "anything", "can_override": false}, "e1": {"name": "e1", "group": "Ungrouped variables", "definition": "random(0.0002..0.0009)", "description": "", "templateType": "anything", "can_override": false}, "e3": {"name": "e3", "group": "Ungrouped variables", "definition": "e1*e2", "description": "", "templateType": "anything", "can_override": false}, "e2": {"name": "e2", "group": "Ungrouped variables", "definition": "random(50000..100000#0.5)", "description": "", "templateType": "anything", "can_override": false}, "dec": {"name": "dec", "group": "Ungrouped variables", "definition": "random(0.0001..0.0009#0.0000001)  ", "description": "", "templateType": "anything", "can_override": false}, "rand2": {"name": "rand2", "group": "Ungrouped variables", "definition": "random(1..4 except {rand1})", "description": "", "templateType": "anything", "can_override": false}, "rand3": {"name": "rand3", "group": "Ungrouped variables", "definition": "rand()", "description": "", "templateType": "anything", "can_override": false}, "rand1": {"name": "rand1", "group": "Ungrouped variables", "definition": "rand()", "description": "", "templateType": "anything", "can_override": false}, "rand4": {"name": "rand4", "group": "Ungrouped variables", "definition": "random(1..4 except{rand3})", "description": "", "templateType": "anything", "can_override": false}, "rand5": {"name": "rand5", "group": "Ungrouped variables", "definition": "random(1..4 except 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null, "prompt": "<p>Round off $\\var{sig}$ to:</p>\n<p>i)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2 decimal places&nbsp; &nbsp;[[0]]</p>\n<p>ii)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1 decimal place &nbsp;&nbsp;[[1]]</p>\n<p>iii)&nbsp;&nbsp;&nbsp;&nbsp;3 significant figures&nbsp; &nbsp; &nbsp;&nbsp;[[2]]</p>\n<p>iv)&nbsp;&nbsp;&nbsp;&nbsp;2 significant figures&nbsp; &nbsp; &nbsp;&nbsp;[[3]]</p>\n<p>v)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1 significant figure &nbsp; &nbsp; &nbsp;[[4]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{sig}", "maxValue": "{sig}", "correctAnswerFraction": false, "allowFractions": false, 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"showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{sig}", "maxValue": "{sig}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{sig}", "maxValue": "{sig}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{sig}", "maxValue": "{sig}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "1", "precisionPartialCredit": 0, "precisionMessage": "", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Round off $\\var{dec}$ 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