$a + b c$
\n[[0]]
", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}, {"showFeedbackIcon": true, "customMarkingAlgorithm": "", "gaps": [{"showFeedbackIcon": true, "mustBeReduced": false, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "{b}^2 - sqrt{c}-0.1", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "allowFractions": false, "showCorrectAnswer": true, "type": "numberentry", "mustBeReducedPC": 0, "scripts": {}, "maxValue": "{b}^2 - sqrt{c}+0.1", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}], "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "marks": 0, "showCorrectAnswer": true, "type": "gapfill", "scripts": {}, "prompt": "$ b ^2 - \\sqrt{c}$
\n[[0]]
", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}, {"showFeedbackIcon": true, "customMarkingAlgorithm": "", "gaps": [{"showFeedbackIcon": true, "mustBeReduced": false, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "(({c}^3 -a})/({b}+{a}))-0.1", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "allowFractions": false, "showCorrectAnswer": true, "type": "numberentry", "mustBeReducedPC": 0, "scripts": {}, "maxValue": "0.1+({c}^3 -a})/({b}+{a})", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}], "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "marks": 0, "showCorrectAnswer": true, "type": "gapfill", "scripts": {}, "prompt": "$ \\dfrac{c^3 -a}{b+ a}$
\n[[0]]
", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}], "ungrouped_variables": ["a", "c", "b"], "variables": {"b": {"definition": "random(-15..-8#0.1 except -a)", "templateType": "anything", "name": "b", "group": "Ungrouped variables", "description": ""}, "c": {"definition": "random(4..24#0.1)", "templateType": "anything", "name": "c", "group": "Ungrouped variables", "description": ""}, "a": {"definition": "random(-5..9#0.1 except 0)", "templateType": "anything", "name": "a", "group": "Ungrouped variables", "description": ""}}, "rulesets": {}, "name": "Ioannis's copy of Using your Calculator Effectively", "statement": "If $a = \\var{a}, \\ b= \\var{b}$ and $c= \\var{c}$, work out the value of the following expressions. Round your answer to 2 d. p. where necessary.
", "variable_groups": [], "advice": "You need to check in which order your calculator carries out the operations.
\nIf, when you input $2+3 \\times 4$ you get the answer $14$, then your calculator is scientific and will perform multiplication and division before addition and subtraction. If you get the answer $20$ then your calculator is performing operations in the order written.
\nBe careful with negative numbers. Remember that squaring a negative number gives a positive number. For instance if you are using your calculator to find the square of $-6$ you need to input $(-6)^2$, not $-6^2$.
", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "Understanding order of operations on a calculator and using power and root keys.
"}, "type": "question", "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}, {"name": "Ioannis Lignos", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/757/"}], "resources": []}]}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}, {"name": "Ioannis Lignos", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/757/"}]}