// Numbas version: exam_results_page_options {"name": "copy of Standard form", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["n1", "n2", "n3", "n4", "p1", "p2", "p3", "p4", "x3", "x4", "x1", "x2"], "name": "copy of Standard form", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "

Count how many places you need to move the decimal point to get to the place immediately to the right of the first digit.

\n

\n

For example, $250 000$.

\n

Starting with the decimal point at the far right, i.e. $250 000.0$, count how many places to move to the left to get $2.5$ - this is five places so you can write $250 000$ as $2.5 \\times 10^5$.

\n

\n

For small numbers, for example $0.00045$, count how many places you need to move the decimal place to the right to get $4.5$ - it's four places so you can write $0.00045$ as $4.5 \\times 10^{-4}$

", "rulesets": {}, "parts": [{"prompt": "

$\\simplify{{sigformat({x1},3)}} =$ [[0]] $\\times 10$[[1]]

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "siground({n1},3)", "minValue": "siground({n1},3)", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{p1}", "minValue": "{p1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "

$\\simplify{{sigformat({x2},3)}} =$ [[0]] $\\times 10$[[1]]

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "siground({n2},3)", "minValue": "siground({n2},3)", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{p2}", "minValue": "{p2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "

$\\var{x3} =$ [[0]] $\\times 10$[[1]]

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{n3}", "minValue": "{n3}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{p3}", "minValue": "{p3}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "

$\\var{x4} =$ [[0]] $\\times 10$[[1]]

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{n4}", "minValue": "{n4}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{p4}", "minValue": "{p4}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "

Write the following numbers in standard form.

\n

Hint: count how many places you need to move the decimal point to get to the place immediately to the right of the first digit.

", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"p2": {"definition": "random(4..7)", "templateType": "anything", "group": "Ungrouped variables", "name": "p2", "description": ""}, "p3": {"definition": "random(-6..-2)", "templateType": "anything", "group": "Ungrouped variables", "name": "p3", "description": ""}, "p1": {"definition": "random(4..10)", "templateType": "anything", "group": "Ungrouped variables", "name": "p1", "description": ""}, "p4": {"definition": "random(-5..-2)", "templateType": "anything", "group": "Ungrouped variables", "name": "p4", "description": ""}, "x1": {"definition": "siground({n1}*10^{p1},3)", "templateType": "anything", "group": "Ungrouped variables", "name": "x1", "description": ""}, "x3": {"definition": "{n3}*10^{p3}", "templateType": "anything", "group": "Ungrouped variables", "name": "x3", "description": ""}, "x2": {"definition": "siground({n2}*10^{p2},3)", "templateType": "anything", "group": "Ungrouped variables", "name": "x2", "description": ""}, "n1": {"definition": "siground(random(1..9.99 #0.01),3)", "templateType": "anything", "group": "Ungrouped variables", "name": "n1", "description": ""}, "n2": {"definition": "siground(random(1..9.999 #0.001),3)", "templateType": "anything", "group": "Ungrouped variables", "name": "n2", "description": ""}, "n3": {"definition": "siground(random(1..9.9 #0.1),3)", "templateType": "anything", "group": "Ungrouped variables", "name": "n3", "description": ""}, "n4": {"definition": "siground(random(1..9.999 #0.001),3)", "templateType": "anything", "group": "Ungrouped variables", "name": "n4", "description": ""}, "x4": {"definition": "{n4}*10^{p4}", "templateType": "anything", "group": "Ungrouped variables", "name": "x4", "description": ""}}, "metadata": {"description": "

Converting to standard form in both positive and negative powers

", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Paul Howes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/632/"}]}]}], "contributors": [{"name": "Paul Howes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/632/"}]}