{ "query": { "display": "$$-5-2\\cdot\\:3+3-4+3^{2}$$", "symbolab_question": "PEMDAS#-5-2\\cdot 3+3-4+3^{2}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-3", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$-5-2\\cdot\\:3+3-4+3^{2}=-3$$", "input": "-5-2\\cdot\\:3+3-4+3^{2}", "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": "Calculate exponents $$3^{2}\\::{\\quad}9$$", "input": "3^{2}", "steps": [ { "type": "step", "primary": "$$3^{2}=9$$", "result": "=9" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=-5-2\\cdot\\:3+3-4+9" }, { "type": "interim", "title": "Multiply and divide (left to right) $$2\\cdot\\:3\\::{\\quad}6$$", "input": "2\\cdot\\:3", "steps": [ { "type": "step", "primary": "$$2\\cdot\\:3=6$$", "result": "=6" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7m4mMss/uIb5SxaobfN4Lmtl2wC6TKNFVi6ypx0cN735s6cWy/XUoZeMdIT9QHXupHGHXvgDefcQAhmBTM1g3BoBe3QIcUrTokDrS9Idjpsecj8mKRGBf8CxQNXFYUYDRsT3HwEkWjclggpQ1RuO844EFMST8lDZxn1Yq5HMKVTt6Q7PBVdHDlyqdUYX/YxvRqaysHt/DrdE2ABS0rUFgOL1tP7PgepaDY85Br5pFZGKysksojQB5njnXRQSwLslg" } }, { "type": "step", "result": "=-5-6+3-4+9" }, { "type": "interim", "title": "Add and subtract (left to right) $$-5-6+3-4+9\\::{\\quad}-3$$", "input": "-5-6+3-4+9", "steps": [ { "type": "step", "primary": "$$-5-6=-11$$", "result": "=-11+3-4+9" }, { "type": "step", "primary": "$$-11+3=-8$$", "result": "=-8-4+9" }, { "type": "step", "primary": "$$-8-4=-12$$", "result": "=-12+9" }, { "type": "step", "primary": "$$-12+9=-3$$", "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 } }