// Numbas version: exam_results_page_options
{"name": "Face, Place and Actual Value (base 10 integers)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [{"name": "try this", "variables": ["thousandsF", "otherDigits", "listOfDigits"]}], "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>"}, "parts": [{"variableReplacements": [], "gaps": [{"minValue": "thousandsF", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "thousandsF", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}, {"minValue": "hundredsF", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "hundredsF", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}, {"minValue": "tensF", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "tensF", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}, {"minValue": "units", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "units", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "type": "gapfill", "marks": 0, "scripts": {}, "prompt": "<p>Please enter the <strong>face value</strong> of the following digits from the base $\\var{b}$ number $\\var{int}$ 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;\">$\\var{thousandsF}$</td>\n<td style=\"text-align: center;\">$\\var{hundredsF}$</td>\n<td style=\"text-align: center;\">$\\var{tensF}$</td>\n<td style=\"text-align: center;\">$\\var{units}$</td>\n</tr>\n<tr>\n<td>Face Value</td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n<td>[[3]]</td>\n</tr>\n</tbody>\n</table>", "showFeedbackIcon": true}, {"variableReplacements": [], "gaps": [{"minValue": "b^3", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "b^3", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}, {"minValue": "b^2", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "b^2", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}, {"minValue": "b", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "b", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}, {"minValue": "1", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "1", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "type": "gapfill", "marks": 0, "scripts": {}, "prompt": "<p>Please enter the <strong>place value</strong> of the following digits from the base $\\var{b}$ number $\\var{int}$ 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;\">$\\var{thousandsF}$</td>\n<td style=\"text-align: center;\">$\\var{hundredsF}$</td>\n<td style=\"text-align: center;\">$\\var{tensF}$</td>\n<td style=\"text-align: center;\">$\\var{units}$</td>\n</tr>\n<tr>\n<td>Place Value</td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n<td>[[3]]</td>\n</tr>\n</tbody>\n</table>", "showFeedbackIcon": true}, {"variableReplacements": [], "gaps": [{"minValue": "thousandsA", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "thousandsA", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}, {"minValue": "hundredsA", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "hundredsA", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}, {"minValue": "tensA", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "tensA", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}, {"minValue": "units", "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "maxValue": "units", "scripts": {}, "type": "numberentry", "marks": 1, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true}], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "type": "gapfill", "marks": 0, "scripts": {}, "prompt": "<p>Please enter the <strong>actual value</strong> of the following digits from the base $\\var{b}$ number $\\var{int}$ 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;\">$\\var{thousandsF}$</td>\n<td style=\"text-align: center;\">$\\var{hundredsF}$</td>\n<td style=\"text-align: center;\">$\\var{tensF}$</td>\n<td style=\"text-align: center;\">$\\var{units}$</td>\n</tr>\n<tr>\n<td>Actual Value</td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n<td>[[3]]</td>\n</tr>\n</tbody>\n</table>", "showFeedbackIcon": true}], "variables": {"int": {"name": "int", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "latex(join(listOfDigits,''))"}, "thousandsA": {"name": "thousandsA", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "thousandsF*b^3"}, "thousandsF": {"name": "thousandsF", "group": "try this", "templateType": "anything", "description": "", "definition": "random(1..9)"}, "valueinbase10": {"name": "valueinbase10", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "thousandsA+hundredsA+tensA+units"}, "tensA": {"name": "tensA", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "tensF*b"}, "otherDigits": {"name": "otherDigits", "group": "try this", "templateType": "anything", "description": "", "definition": "shuffle(0..9 except thousandsF)[0..3]"}, "b": {"name": "b", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "10"}, "hundredsF": {"name": "hundredsF", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "listofDigits[1]"}, "tensF": {"name": "tensF", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "listOfDigits[2]"}, "hundredsA": {"name": "hundredsA", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "hundredsF*b^2"}, "listOfDigits": {"name": "listOfDigits", "group": "try this", "templateType": "anything", "description": "<p>listofDigits</p>", "definition": "[thousandsF]+otherDigits"}, "units": {"name": "units", "group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "listOfDigits[3]"}}, "rulesets": {}, "preamble": {"js": "", "css": ""}, "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 base 10 number system.</p>", "advice": "<p>a) 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 $2$ in the number $1234$ is just $2$.</p>\n<p>b) 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. Recall we have a thousands column, a hundreds column, a tens column and a units/ones column. The place value for something in the thousands column is $1000$, the place value for something in the hundreds column is $100$, the place value for something in the tens column is $10$ and the place value for something in the units/ones column is $1$.</p>\n<p>For example, the place value of the $2$ in the number $1234$ is $100$.</p>\n<p>c) 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 $2$ in the number $1234$ is $200$ (since the $2$ in $1234$ actually stands for $200$).</p>", "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": ["int", "thousandsA", "hundredsF", "hundredsA", "tensF", "tensA", "units", "b", "valueinbase10"], "name": "Face, Place and Actual Value (base 10 integers)", "functions": {}, "extensions": [], "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/"}]}