// Numbas version: exam_results_page_options
{"name": "Face, Place and Actual Value (decimals)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "name": "Face, Place and Actual Value (decimals)", "preamble": {"js": "", "css": ""}, "extensions": [], "functions": {}, "variable_groups": [{"name": "try this", "variables": ["tenthsF", "hundredthsF", "thousandthsF", "tenthsA", "hundredthsA", "thousandthsA", "dec", "b"]}], "parts": [{"type": "gapfill", "unitTests": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "sortAnswers": false, "marks": 0, "steps": [{"type": "information", "scripts": {}, "variableReplacementStrategy": "originalfirst", "unitTests": [], "showFeedbackIcon": true, "prompt": "<p>The&nbsp;<strong>face value</strong> of a digit is simply the digit itself. It is all about what the digit looks like.</p>\n<p>For example, the face value of $3$ in the number $1.234$ is just $3$.</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "marks": 0, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true}], "stepsPenalty": "3", "variableReplacementStrategy": "originalfirst", "prompt": "<p>Please enter the <strong>face value</strong> of the following digits from the&nbsp;decimal&nbsp;$\\var{dec}$ in the gaps below.</p>\n<p></p>\n<table border=\"1\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Digit</td>\n<td style=\"text-align: center;\">$\\var{tenthsF}$</td>\n<td style=\"text-align: center;\">$\\var{hundredthsF}$</td>\n<td style=\"text-align: center;\">$\\var{thousandthsF}$</td>\n</tr>\n<tr>\n<td>Face Value</td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n</tr>\n</tbody>\n</table>", "customMarkingAlgorithm": "", "variableReplacements": [], "gaps": [{"type": "numberentry", "maxValue": "tenthsF", "unitTests": [], "showFeedbackIcon": true, "allowFractions": false, "minValue": "tenthsF", "showCorrectAnswer": true, "marks": "1", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "scripts": {}, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "mustBeReduced": false, "customMarkingAlgorithm": "", "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}, {"type": "numberentry", "maxValue": "hundredthsF", "unitTests": [], "showFeedbackIcon": true, "allowFractions": false, "minValue": "hundredthsF", "showCorrectAnswer": true, "marks": "1", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "scripts": {}, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "mustBeReduced": false, "customMarkingAlgorithm": "", "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}, {"type": "numberentry", "maxValue": "thousandthsF", "unitTests": [], "showFeedbackIcon": true, "allowFractions": false, "minValue": "thousandthsF", "showCorrectAnswer": true, "marks": "1", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "scripts": {}, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "mustBeReduced": false, "customMarkingAlgorithm": "", "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}], "extendBaseMarkingAlgorithm": true, "scripts": {}}, {"type": "gapfill", "unitTests": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "sortAnswers": false, "marks": 0, "steps": [{"type": "information", "scripts": {}, "variableReplacementStrategy": "originalfirst", "unitTests": [], "showFeedbackIcon": true, "prompt": "<p>The&nbsp;<strong>place value</strong> of a digit is the 'value' of the 'column' it is written in. It is all about where the digit is. To the right of the decimal point we have the <em>tenths</em> column, next we have the <em>hundredths</em> column,&nbsp; and then we have the <em>thousandths</em> column. The place value for something in the&nbsp;tenths&nbsp;column is $0.1$, the place value for something in the hundredths column is $0.01$ and the place value for something in the thousandths&nbsp;column is $0.001$.</p>\n<p>For example, the place value of the $3$ in the number $1.234$ is $0.01$.</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "marks": 0, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true}], "stepsPenalty": "3", "variableReplacementStrategy": "originalfirst", "prompt": "<p>Please enter the <strong>place value</strong> of the following digits from the&nbsp;decimal&nbsp;$\\var{dec}$ in the gaps below.</p>\n<p></p>\n<table border=\"1\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Digit</td>\n<td style=\"text-align: center;\">$\\var{tenthsF}$</td>\n<td style=\"text-align: center;\">$\\var{hundredthsF}$</td>\n<td style=\"text-align: center;\">$\\var{thousandthsF}$</td>\n</tr>\n<tr>\n<td>Place Value</td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n</tr>\n</tbody>\n</table>", "customMarkingAlgorithm": "", "variableReplacements": [], "gaps": [{"type": "numberentry", "maxValue": "1/b", "unitTests": [], "showFeedbackIcon": true, "allowFractions": true, "minValue": "1/b", "showCorrectAnswer": true, "marks": "1", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "scripts": {}, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "mustBeReduced": false, "customMarkingAlgorithm": "", "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}, {"type": "numberentry", "maxValue": "1/b^2", "unitTests": [], "showFeedbackIcon": true, "allowFractions": true, "minValue": "1/b^2", "showCorrectAnswer": true, "marks": "1", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "scripts": {}, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "mustBeReduced": false, "customMarkingAlgorithm": "", "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}, {"type": "numberentry", "maxValue": "1/b^3", "unitTests": [], "showFeedbackIcon": true, "allowFractions": true, "minValue": "1/b^3", "showCorrectAnswer": true, "marks": "1", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "scripts": {}, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "mustBeReduced": false, "customMarkingAlgorithm": "", "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}], "extendBaseMarkingAlgorithm": true, "scripts": {}}, {"type": "gapfill", "unitTests": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "sortAnswers": false, "marks": 0, "steps": [{"type": "information", "scripts": {}, "variableReplacementStrategy": "originalfirst", "unitTests": [], "showFeedbackIcon": true, "prompt": "<p>The&nbsp;<strong>actual value</strong> of a digit is the face value times the place value. It is all about what that digit actually adds/brings to the number, what it is actually worth or what it actually represents.</p>\n<p>For example, the actual value of the digit $3$ in the number $1.234$ is $0.03$ (since the $3$ in $1.234$ actually stands for $0.03$).</p>", "customMarkingAlgorithm": "", "variableReplacements": [], "marks": 0, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true}], "stepsPenalty": "3", "variableReplacementStrategy": "originalfirst", "prompt": "<p>Please enter the <strong>actual value</strong> of the following digits from the&nbsp;decimal&nbsp;$\\var{dec}$ in the gaps below.</p>\n<p></p>\n<table border=\"1\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Digit</td>\n<td style=\"text-align: center;\">$\\var{tenthsF}$</td>\n<td style=\"text-align: center;\">$\\var{hundredthsF}$</td>\n<td style=\"text-align: center;\">$\\var{thousandthsF}$</td>\n</tr>\n<tr>\n<td>Actual Value</td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n</tr>\n</tbody>\n</table>", "customMarkingAlgorithm": "", "variableReplacements": [], "gaps": [{"type": "numberentry", "maxValue": "tenthsA", "unitTests": [], "showFeedbackIcon": true, "allowFractions": true, "minValue": "tenthsA", "showCorrectAnswer": true, "marks": "1", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "scripts": {}, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "mustBeReduced": false, "customMarkingAlgorithm": "", "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}, {"type": "numberentry", "maxValue": "hundredthsA", "unitTests": [], "showFeedbackIcon": true, "allowFractions": true, "minValue": "hundredthsA", "showCorrectAnswer": true, "marks": "1", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "scripts": {}, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "mustBeReduced": false, "customMarkingAlgorithm": "", "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}, {"type": "numberentry", "maxValue": "thousandthsA", "unitTests": [], "showFeedbackIcon": true, "allowFractions": true, "minValue": "thousandthsA", "showCorrectAnswer": true, "marks": "1", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "scripts": {}, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "mustBeReduced": false, "customMarkingAlgorithm": "", "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}], "extendBaseMarkingAlgorithm": true, "scripts": {}}], "variables": {"thousandthsF": {"description": "", "templateType": "anything", "name": "thousandthsF", "definition": "random(1..9 except [tenthsF,hundredthsF])", "group": "try this"}, "tenthsF": {"description": "", "templateType": "anything", "name": "tenthsF", "definition": "random(1..9)", "group": "try this"}, "b": {"description": "", "templateType": "anything", "name": "b", "definition": "10", "group": "try this"}, "tenthsA": {"description": "", "templateType": "anything", "name": "tenthsA", "definition": "tenthsF/b", "group": "try this"}, "hundredthsA": {"description": "", "templateType": "anything", "name": "hundredthsA", "definition": "hundredthsF/b^2", "group": "try this"}, "dec": {"description": "", "templateType": "anything", "name": "dec", "definition": "tenthsA+hundredthsA+thousandthsA", "group": "try this"}, "thousandthsA": {"description": "", "templateType": "anything", "name": "thousandthsA", "definition": "thousandthsF/b^3", "group": "try this"}, "hundredthsF": {"description": "", "templateType": "anything", "name": "hundredthsF", "definition": "random(1..9 except tenthsF)", "group": "try this"}}, "ungrouped_variables": [], "rulesets": {}, "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Useful for a review of the base 10 number system before introducing different bases and also just ensuring students understand how the base 10 system works.</p>"}, "advice": "<p></p>\n<p></p>\n<p></p>", "statement": "<p>In our usual number <g class=\"gr_ gr_11 gr-alert gr_gramm gr_inline_cards gr_run_anim Punctuation only-ins replaceWithoutSep\" id=\"11\" data-gr-id=\"11\">system</g> we only have ten digits (0 to 9). We call this the base 10 system. We can use&nbsp;these ten digits together to represent numbers larger than 9. When we&nbsp;do this the place we put the numbers is important, for example, $321$ uses the same digits as $123$ but it is clearly not the same number. This question&nbsp;tests your understanding of the face, place and actual values in the decimal number system.</p>", "type": "question", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}