{ "query": { "display": "$$\\left(+4\\right)+\\left(-6\\right)+\\left(-8\\right)+\\left(+10\\right)+\\left(-2\\right)$$", "symbolab_question": "PEMDAS#(+4)+(-6)+(-8)+(+10)+(-2)" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-2", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(4\\right)+\\left(-6\\right)+\\left(-8\\right)+\\left(10\\right)+\\left(-2\\right)=-2$$", "input": "\\left(4\\right)+\\left(-6\\right)+\\left(-8\\right)+\\left(10\\right)+\\left(-2\\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": "step", "primary": "Add and subtract (left to right) " }, { "type": "step", "primary": "Apply rule $$+\\left(-a\\right)\\:=\\:-a$$", "secondary": [ "$$+\\left(-6\\right)=-6$$" ], "result": "=\\left(4\\right)-6+\\left(-8\\right)+\\left(10\\right)+\\left(-2\\right)" }, { "type": "step", "primary": "$$\\left(4\\right)-6=-2$$", "result": "=-2+\\left(-8\\right)+\\left(10\\right)+\\left(-2\\right)" }, { "type": "step", "primary": "Apply rule $$+\\left(-a\\right)\\:=\\:-a$$", "secondary": [ "$$+\\left(-8\\right)=-8$$" ], "result": "=-2-8+\\left(10\\right)+\\left(-2\\right)" }, { "type": "step", "primary": "$$-2-8=-10$$", "result": "=-10+\\left(10\\right)+\\left(-2\\right)" }, { "type": "step", "primary": "$$-10+\\left(10\\right)=0$$", "result": "=0+\\left(-2\\right)" }, { "type": "step", "primary": "Apply rule $$+\\left(-a\\right)\\:=\\:-a$$", "secondary": [ "$$+\\left(-2\\right)=-2$$" ], "result": "=0-2" }, { "type": "step", "primary": "$$0-2=-2$$", "result": "=-2" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }