// Numbas version: exam_results_page_options
{"name": "Decimal bigger smaller or equal Q1", "extensions": [], "custom_part_types": [], "resources": [["question-resources/box_Mb0urNo.png", "/srv/numbas/media/question-resources/box_Mb0urNo.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Decimal bigger smaller or equal Q1", "tags": ["nursing", "Western Sydney MESH"], "metadata": {"description": "<p>Students are shown two decimals and asked to enter the correct sign to compare them: &gt; or &lt; or =.</p>\n<p>This question was written by MESH (the Mathematics Education Support Hub) at Western Sydney University.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\">Percentage of grade 6 pupils reaching reading proficiency levels&mdash; Southern and Eastern Africa Consortium for Monitoring Educational Percentage of grade 6 pupils reaching reading proficiency levels&mdash; Southern and Eastern Africa Consortium for Monitoring Educational&nbsp;</div>\n<p>Type the correct&nbsp;sign in the box to make a true statement.</p>\n<p>Choose from one of the following:&nbsp; &nbsp; &nbsp;&nbsp;<strong>&gt;</strong>&nbsp; (greater than)&nbsp; &nbsp; &nbsp; &nbsp; or&nbsp; &nbsp; &nbsp; &nbsp; <strong>&lt;</strong>&nbsp; (less than)&nbsp; &nbsp; &nbsp; &nbsp;or&nbsp; &nbsp; &nbsp; &nbsp;<strong>=</strong>&nbsp; (equal to)&nbsp;</p>", "advice": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p><strong></strong>When comparing the sizes of decimals, it is necessary to consider the place value of each digit in each decimal number.</p>\n<p>Here are a few examples. See if you can apply these concepts to the current question.</p>\n<p><strong>Example 1</strong></p>\n<p>0.05&nbsp;&nbsp;<img src=\"resources/question-resources/box_Mb0urNo.png\"/>&nbsp; 0.5</p>\n<p>If we place the two decimals in a place value table, we get:</p>\n<table border=\"1\" cellpadding=\"8\" style=\"background-color: #faf7a5;\">\n<tbody>\n<tr>\n<td style=\"width: 40px;\"><strong>Ones</strong></td>\n<td style=\"width: 5.83333px;\"><strong>&nbsp;.&nbsp;</strong></td>\n<td style=\"width: 74.1667px;\"><strong>Tenths</strong></td>\n<td style=\"width: 92.5px;\"><strong>Hundredths</strong></td>\n<td style=\"width: 101.667px;\"><strong>Thousandths</strong></td>\n</tr>\n<tr>\n<td style=\"text-align: center; width: 40px;\">0</td>\n<td style=\"text-align: center; width: 5.83333px;\">.</td>\n<td style=\"text-align: center; width: 74.1667px;\">0</td>\n<td style=\"text-align: center; width: 92.5px;\">5</td>\n<td style=\"text-align: center; width: 101.667px;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: center; width: 40px;\">0</td>\n<td style=\"text-align: center; width: 5.83333px;\">.</td>\n<td style=\"text-align: center; width: 74.1667px;\">5</td>\n<td style=\"text-align: center; width: 92.5px;\"></td>\n<td style=\"text-align: center; width: 101.667px;\"></td>\n</tr>\n</tbody>\n</table>\n<p>Each column has ten times&nbsp;less value than the column to its left.</p>\n<p>A Hundredth is ten times&nbsp;smaller than&nbsp;a Tenth.</p>\n<p>Therefore 0.05 (five hundredths) is smaller than 0.5 (five tenths) even though it is longer when written in digits.&nbsp;</p>\n<p>0.05 &lt; 0.5</p>\n<p><strong>Example 2</strong></p>\n<p>0.20&nbsp;&nbsp;<img src=\"resources/question-resources/box_Mb0urNo.png\"/>&nbsp; 0.2</p>\n<p>If we place the two decimals in a place value table, we get:</p>\n<table border=\"1\" cellpadding=\"8\" style=\"background-color: #faf7a5;\">\n<tbody>\n<tr>\n<td style=\"width: 40px;\"><strong>Ones</strong></td>\n<td style=\"width: 5.83333px;\"><strong>&nbsp;.&nbsp;</strong></td>\n<td style=\"width: 74.1667px;\"><strong>Tenths</strong></td>\n<td style=\"width: 92.5px;\"><strong>Hundredths</strong></td>\n<td style=\"width: 101.667px;\"><strong>Thousandths</strong></td>\n</tr>\n<tr>\n<td style=\"text-align: center; width: 40px;\">0</td>\n<td style=\"text-align: center; width: 5.83333px;\">.</td>\n<td style=\"text-align: center; width: 74.1667px;\">2</td>\n<td style=\"text-align: center; width: 92.5px;\">0</td>\n<td style=\"text-align: center; width: 101.667px;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: center; width: 40px;\">0</td>\n<td style=\"text-align: center; width: 5.83333px;\">.</td>\n<td style=\"text-align: center; width: 74.1667px;\">2</td>\n<td style=\"text-align: center; width: 92.5px;\"></td>\n<td style=\"text-align: center; width: 101.667px;\"></td>\n</tr>\n</tbody>\n</table>\n<p>Both numbers have two Tenths.</p>\n<p>The first number has zero Hundredths, and so does the second number (zeros do not usually need to be written at the end of decimal numbers).&nbsp;</p>\n<p>Therefore 0.20&nbsp;is&nbsp;equal to 0.2&nbsp;even though it is longer when written in digits.</p>\n<p>0.20 = 0.2</p>\n<p><strong>Example 3</strong></p>\n<p>5.314&nbsp;&nbsp;<img src=\"resources/question-resources/box_Mb0urNo.png\"/>&nbsp; 5.2</p>\n<p>If we place&nbsp;the two decimals in a place value table, we get:</p>\n<table border=\"1\" cellpadding=\"8\" style=\"background-color: #faf7a5;\">\n<tbody>\n<tr>\n<td style=\"width: 40px;\"><strong>Ones</strong></td>\n<td style=\"width: 5.83333px;\"><strong>&nbsp;.&nbsp;</strong></td>\n<td style=\"width: 74.1667px;\"><strong>Tenths</strong></td>\n<td style=\"width: 92.5px;\"><strong>Hundredths</strong></td>\n<td style=\"width: 101.667px;\"><strong>Thousandths</strong></td>\n</tr>\n<tr>\n<td style=\"text-align: center; width: 40px;\">5</td>\n<td style=\"text-align: center; width: 5.83333px;\">.</td>\n<td style=\"text-align: center; width: 74.1667px;\">3</td>\n<td style=\"text-align: center; width: 92.5px;\">1</td>\n<td style=\"text-align: center; width: 101.667px;\">4</td>\n</tr>\n<tr>\n<td style=\"text-align: center; width: 40px;\">5</td>\n<td style=\"text-align: center; width: 5.83333px;\">.</td>\n<td style=\"text-align: center; width: 74.1667px;\">2</td>\n<td style=\"text-align: center; width: 92.5px;\"></td>\n<td style=\"text-align: center; width: 101.667px;\"></td>\n</tr>\n</tbody>\n</table>\n<p>Each column has ten times&nbsp;less&nbsp;value than the column to its&nbsp;left.&nbsp;</p>\n<p>So start at the left hand side - the Ones column.</p>\n<p>Both decimals have a 5 in the Ones column.</p>\n<p>Then look at the digits in the Tenths column.</p>\n<p>5.314 has three tenths and 5.2 has two tenths.&nbsp;</p>\n<p>Therefore&nbsp;5.314 &nbsp;is greater than&nbsp;5.2 even though&nbsp;there are other digits in 5.314 that we have not considered.</p>\n<p>5.314 &gt; 5.2</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"decimal1": {"name": "decimal1", "group": "Ungrouped variables", "definition": "[\"1\",\"0.4\",\"4.8\",\"0.426\",\"4.08\"]", "description": "<p>The list of potential first numbers (as strings) which will appear on the left of the box. 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It is either &gt; or &lt; or =.</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["decimal1", "decimal2", "index", "dec1", "dec2", "pdec1", "pdec2", "answer"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"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>{dec1}&nbsp; &nbsp;[[0]] {dec2}</p>", "gaps": [{"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{answer}", "displayAnswer": "", "matchMode": "exact"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Don Shearman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/680/"}, {"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}, {"name": "Susan McGlynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2148/"}]}]}], "contributors": [{"name": "Don Shearman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/680/"}, {"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}, {"name": "Susan McGlynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2148/"}]}