{ "query": { "display": "$$2\\div\\:\\left(-2\\right)5$$", "symbolab_question": "PEMDAS#2\\div (-2)5" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-5", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$2\\div\\:\\left(-2\\right)\\cdot\\:5=-5$$", "input": "2\\div\\:\\left(-2\\right)\\cdot\\:5", "steps": [ { "type": "step", "primary": "Follow the PEMDAS order of operations", "meta": { "title": { "extension": "P-Parentheses<br/>E-Exponents<br/>M-Multiply<br/>D-Divide<br/>A-Add<br/>S-Subtract" } } }, { "type": "step", "primary": "Multiply and divide (left to right) " }, { "type": "step", "primary": "Apply rule $$a\\div\\:\\left(-b\\right)\\:=\\:-a\\div\\:b$$", "secondary": [ "$$2\\div\\:\\left(-2\\right)=-2\\div\\:2=-1$$" ], "result": "=-1\\cdot\\:5" }, { "type": "step", "primary": "$$-1\\cdot\\:5=-5$$", "result": "=-5" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }