// Numbas version: exam_results_page_options {"name": "Conversions - Decimals and Percentages", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"css": "", "js": ""}, "variables": {"hh": {"definition": "dd*1000\n", "name": "hh", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "q": {"definition": "l*10", "name": "q", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "aa": {"definition": "u*2", "name": "aa", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "cc": {"definition": "u*20", "name": "cc", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "t": {"definition": "l/20", "name": "t", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "v": {"definition": "u*100", "name": "v", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "jj": {"definition": "dd*2", "name": "jj", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "w": {"definition": "u*10", "name": "w", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "ll": {"definition": "dd*20", "name": "ll", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "kk": {"definition": "dd*200", "name": "kk", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "u": {"definition": "random(0..1#0.01) //random decimal to become a percentage", "name": "u", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "gg": {"definition": "dd/100", "name": "gg", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "y": {"definition": "u*1000", "name": "y", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "g": {"definition": "a*10", "name": "g", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "a": {"definition": "random(1..100) //random percentage between 1 and 100", "name": "a", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "h": {"definition": "a/2", "name": "h", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "ii": {"definition": "dd/10", "name": "ii", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "bb": {"definition": "u*200", "name": "bb", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "l": {"definition": "random(1..100#0.1) //random decimal percentage", "name": "l", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "o": {"definition": "l*100", "name": "o", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "x": {"definition": "u/100", "name": "x", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "j": {"definition": "a/200", "name": "j", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "p": {"definition": "l/1000", "name": "p", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "f": {"definition": "a/1000", "name": "f", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "r": {"definition": "l/2", "name": "r", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "n": {"definition": "l/10", "name": "n", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "ff": {"definition": "dd*10", "name": "ff", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "z": {"definition": "u/10", "name": "z", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "b": {"definition": "a/100", "name": "b", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "m": {"definition": "l/100", "name": "m", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "c": {"definition": "a/10", "name": "c", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "ee": {"definition": "dd*100", "name": "ee", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "k": {"definition": "a/20", "name": "k", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "dd": {"definition": "random(0..1#0.001)", "name": "dd", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "d": {"definition": "a*100", "name": "d", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "s": {"definition": "l/200", "name": "s", "group": "Ungrouped variables", "templateType": "anything", "description": ""}}, "advice": "

Decimals and percentages are two ways of expressing same thing. To convert decimals to percentages or vice versa, just move the decimal 2 places to the right or left/multiply or divide by 100.

\n

Example: Convert 0.35 to a percentage

\n

Move the decimal point two places to the right: 0.35 $\\rightarrow$ 3.5 $\\rightarrow$ 35.

\n

Add a % sign: 35%

\n

Answer 0.35 = 35%

\n

For more help, check this video: 

\n

\n

", "variable_groups": [], "rulesets": {}, "extensions": [], "parts": [{"choices": ["

$\\var{b}$

", "

$\\var{c}$

", "

$\\var{d}$

", "

$\\var{f}$

", "

$\\var{g}$

", "

$\\var{h}$

", "

$\\var{j}$

", "

$\\var{k}$

"], "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", "", "", ""], "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "stepsPenalty": 0, "prompt": "

Convert $\\var{a}$% to a decimal :

", "displayType": "radiogroup", "displayColumns": "0", "minMarks": "0", "marks": 0, "variableReplacements": [], "steps": [{"prompt": "

To convert from a percentage to a decimal, divide by 100 or move the decimal point 2 places to the left.

\n

Example: Convert 8.5% to a decimal

\n

Move the decimal point two places to the left: 8.5 $\\rightarrow$  0.85 $\\rightarrow$ 0.085

\n

Answer 8.5% = 0.085

", "variableReplacements": [], "scripts": {}, "marks": 0, "showCorrectAnswer": true, "type": "information", "variableReplacementStrategy": "originalfirst"}], "showCorrectAnswer": true, "shuffleChoices": true, "scripts": {}, "maxMarks": "1"}, {"choices": ["

$\\var{m}$

", "

$\\var{n}$

", "

$\\var{o}$

", "

$\\var{p}$

", "

$\\var{q}$

", "

$\\var{r}$

", "

$\\var{s}$

", "

$\\var{t}$

"], "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", "", "", ""], "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "stepsPenalty": 0, "prompt": "

Convert  $\\var{l}$% to a decimal :

", "displayType": "radiogroup", "displayColumns": 0, "minMarks": "0", "marks": 0, "variableReplacements": [], "steps": [{"prompt": "

To convert from percentage to a decimal, divide by 100 or move the decimal point 2 places to the left.

\n

\n

Example: Convert 8.5% to a decimal

\n

Move the decimal point two places to the left: 8.5 $\\rightarrow$ 0.85 $\\rightarrow$ 0.085

\n

Answer 8.5% = 0.085

", "variableReplacements": [], "scripts": {}, "marks": 0, "showCorrectAnswer": true, "type": "information", "variableReplacementStrategy": "originalfirst"}], "showCorrectAnswer": true, "shuffleChoices": true, "scripts": {}, "maxMarks": "1"}, {"choices": ["

$\\var{v}$ %

", "

$\\var{w}$ %

", "

$\\var{x}$ %

", "

$\\var{y}$ %

", "

$\\var{z}$ %

", "

$\\var{aa}$ %

", "

$\\var{bb}$ %

", "

$\\var{cc}$ %

"], "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", "", "", ""], "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "stepsPenalty": 0, "prompt": "

Convert $\\var{u}$ to a percentage :

", "displayType": "radiogroup", "displayColumns": 0, "minMarks": "0", "marks": 0, "variableReplacements": [], "steps": [{"prompt": "

To convert from a decimal to a percentage, multiply the decimal by 100 or move the decimal point 2 places to the right

\n

Example: Convert 0.68 to a percentage

\n

Move the decimal point two places to the right: 0.68 $\\rightarrow$ 6.8 $\\rightarrow$ 68.

\n

Answer 0.68 = 68%

", "variableReplacements": [], "scripts": {}, "marks": 0, "showCorrectAnswer": true, "type": "information", "variableReplacementStrategy": "originalfirst"}], "showCorrectAnswer": true, "shuffleChoices": true, "scripts": {}, "maxMarks": "1"}, {"choices": ["

$\\var{ee}$ %

", "

$\\var{ff}$ %

", "

$\\var{gg}$ %

", "

$\\var{hh}$ %

", "

$\\var{ii}$ %

", "

$\\var{jj}$ %

", "

$\\var{kk}$ %

", "

$\\var{ll}$ %

"], "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", "", "", ""], "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "stepsPenalty": 0, "prompt": "

Convert $\\var{dd}$ to a percentage :

", "displayType": "radiogroup", "displayColumns": 0, "minMarks": "0", "marks": 0, "variableReplacements": [], "steps": [{"prompt": "

To convert from a decimal to a percentage, multiply the decimal by 100 or move the decimal point 2 places to the right.

\n

Example: Convert 0.68 to a percentage

\n

Move the decimal point two places to the right: 0.68 $\\rightarrow$ 6.8 $\\rightarrow$ 68.

\n

Answer 0.68 = 68%

", "variableReplacements": [], "scripts": {}, "marks": 0, "showCorrectAnswer": true, "type": "information", "variableReplacementStrategy": "originalfirst"}], "showCorrectAnswer": true, "shuffleChoices": true, "scripts": {}, "maxMarks": "1"}], "tags": [], "statement": "

Convert the given decimals to percentages and vice versa.

\n

For further help, please check this video: https://www.youtube.com/watch?v=s_DA3qW9pjc.

", "variablesTest": {"condition": "", "maxRuns": 100}, "showQuestionGroupNames": false, "type": "question", "name": "Conversions - Decimals and Percentages", "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "h", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y", "z", "aa", "bb", "cc", "dd", "ee", "ff", "gg", "hh", "ii", "jj", "kk", "ll"], "question_groups": [{"pickQuestions": 0, "name": "", "questions": [], "pickingStrategy": "all-ordered"}], "functions": {}, "metadata": {"description": "

These short questions concentrate on conversion between decimals and percentages.

", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "contributors": [{"name": "Nasir Firoz Khan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/909/"}, {"name": "heike hoffmann", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2960/"}]}]}], "contributors": [{"name": "Nasir Firoz Khan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/909/"}, {"name": "heike hoffmann", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2960/"}]}