{ "query": { "display": "$$1-2\\left(-1\\right)$$", "symbolab_question": "PEMDAS#1-2(-1)" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "3", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$1-2\\left(-1\\right)=3$$", "input": "1-2\\left(-1\\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) $$2\\left(-1\\right)\\::{\\quad}-2$$", "input": "2\\left(-1\\right)", "steps": [ { "type": "step", "primary": "Apply rule $$a\\cdot\\:\\left(-b\\right)\\:=\\:-a\\cdot\\:b$$", "secondary": [ "$$2\\left(-1\\right)=-2\\cdot\\:1=-2$$" ], "result": "=-2" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s75TlnthdcO8hSoX8W3pms2/zN4REgISe/UOzkDX8F0jA00lLcsGLaP6fKdhSaksTJGxUnxrfiOu/81z6hPXE968KX1+zr1w4aPhURxejdRP5if2QjytWd11aonvwft1UQRSpN33oxZMojoqvYhvSJAGay9bMYgEkREJp+4r9c335InZacQCwM8jm5VEt6Oq2vetJIicunoGeI1fpuYiex5tnUMsHFIy5Nsmxty17Bu2Q=" } }, { "type": "step", "result": "=1-\\left(-2\\right)" }, { "type": "interim", "title": "Add and subtract (left to right) $$1-\\left(-2\\right)\\::{\\quad}3$$", "input": "1-\\left(-2\\right)", "steps": [ { "type": "step", "primary": "Apply rule $$-\\left(-a\\right)\\:=\\:+a$$", "secondary": [ "$$-\\left(-2\\right)=+2$$" ], "result": "=1+2" }, { "type": "step", "primary": "$$1+2=3$$", "result": "=3" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=3" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }