{ "query": { "display": "$$\\left(-8\\right)\\div\\:2-\\left(-36\\right)\\div\\:\\left(-6\\right)$$", "symbolab_question": "PEMDAS#(-8)\\div 2-(-36)\\div (-6)" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-10", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(-8\\right)\\div\\:2-\\left(-36\\right)\\div\\:\\left(-6\\right)=-10$$", "input": "\\left(-8\\right)\\div\\:2-\\left(-36\\right)\\div\\:\\left(-6\\right)", "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": "interim", "title": "Multiply and divide (left to right) $$\\left(-8\\right)\\div\\:2\\::{\\quad}-4$$", "input": "\\left(-8\\right)\\div\\:2", "steps": [ { "type": "step", "primary": "Apply rule $$\\left(-a\\right)\\div\\:b\\:=\\:-a\\div\\:b$$", "secondary": [ "$$\\left(-8\\right)\\div\\:2=-8\\div\\:2=-4$$" ], "result": "=-4" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7uUBhLl20Y0voWXcVdH3A1T4dSAwD4FDPaMeclvFrxxXDumXdUJ3bdptrUmBd0WtkYjtyHNTbzHDekpQRym6HqUidlpxALAzyOblUS3o6ra+DwVlC2p1YtxpVIxfjFV75Naqht0pYJxAeXbIt4euXL55hH2GSjJqXvtoOuuVb1e1N5Aod6Hr1Lp2e/29KhSgUsTcXQs+nSTj8Kwuqla5yl+fzPVdOmLogHrDWS+tcDJvFDlYPpBLejKYgXQCY+6Cu2dQywcUjLk2ybG3LXsG7ZA==" } }, { "type": "step", "result": "=-4-\\left(-36\\right)\\div\\:\\left(-6\\right)" }, { "type": "interim", "title": "Multiply and divide (left to right) $$\\left(-36\\right)\\div\\:\\left(-6\\right)\\::{\\quad}6$$", "input": "\\left(-36\\right)\\div\\:\\left(-6\\right)", "steps": [ { "type": "step", "primary": "Apply rule $$\\left(-a\\right)\\div\\:\\left(-b\\right)\\:=\\:a\\div\\:b$$", "secondary": [ "$$\\left(-36\\right)\\div\\:\\left(-6\\right)=36\\div\\:6=6$$" ], "result": "=6" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7uwttWQdOMLwsNid1LgHF9515DfNFxyCIheB+7NhcC7Rs6cWy/XUoZeMdIT9QHXupHGHXvgDefcQAhmBTM1g3BoBe3QIcUrTokDrS9IdjpsfK/pyKB7Gzqm4/mXCaCkB8DVhAqzTEzyrWKqQqPv+/WlrnFjLDWUz0olA3a3iX8D8quWYDft7eMJFtss3hUfGmuHzwX7I9jhFpvjvhK4nxxI/Ac0FzteGyhLXN3AYNaQH83Y/Op0CpRx3RVcJiWE9TvzIPeEtDfcHv/z8uls8Teg==" } }, { "type": "step", "result": "=-4-6" }, { "type": "interim", "title": "Add and subtract (left to right) $$-4-6\\::{\\quad}-10$$", "input": "-4-6", "steps": [ { "type": "step", "primary": "$$-4-6=-10$$", "result": "=-10" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=-10" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }