{ "query": { "display": "$$4\\times\\:7+\\left(136\\div\\:8\\right)-6+\\left(27-9\\right)\\times\\:2$$", "symbolab_question": "PEMDAS#4\\times 7+(136\\div 8)-6+(27-9)\\times 2" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "75", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$4\\times\\:7+\\left(136\\div\\:8\\right)-6+\\left(27-9\\right)\\times\\:2=75$$", "input": "4\\times\\:7+\\left(136\\div\\:8\\right)-6+\\left(27-9\\right)\\times\\: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 within parentheses $$\\left(136\\div\\:8\\right)\\::{\\quad}17$$", "input": "136\\div\\:8", "steps": [ { "type": "step", "primary": "$$136\\div\\:8=17$$", "result": "=17" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7UyWaB8z13paw3z0Yb/dSTUZ2AxzpMFc2XfxlyJFKG7AJuqIWscjgRVWYYdNQYDhtElTk/3SQewubcUC2GuPR1xyzjJt5ypIMoFzpqETPEmpezH8Gf4mnFHD3U1BEbH6pwWetcTpZeRXYdWWejn/hBWF58ib7u38mnbOPe0Wf2bRkS3dlcCKpQTQcheuut7MkGTHs+2pt35yxMTs2VlheIrp/9TkwgwU1VexO++KUwzkL0UpCOETKx4qmKQ8+gvRZjIGIdJ/QciMnn+7pTgGNAA==" } }, { "type": "step", "result": "=4\\times\\:7+17-6+\\left(27-9\\right)\\times\\:2" }, { "type": "interim", "title": "Calculate within parentheses $$\\left(27-9\\right)\\::{\\quad}18$$", "input": "27-9", "steps": [ { "type": "step", "primary": "$$27-9=18$$", "result": "=18" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7UyWaB8z13paw3z0Yb/dSTQrbkQXCoTfISaNvfo7w6AeczCfgcLqen03H0f59j3xgRUY+xZS6EhqabsbSVMV6YTJjr4+1bD683CHVG+HnF+dBEoAV78pS6CUfT+9w8M6LTD9VMM8E12NJufB1pnzFs2RLd2VwIqlBNByF6663syQZMez7am3fnLExOzZWWF4iun/1OTCDBTVV7E774pTDObsQ2zEqqtcGhYgkJYOwiVk=" } }, { "type": "step", "result": "=4\\times\\:7+17-6+18\\times\\:2" }, { "type": "interim", "title": "Multiply and divide (left to right) $$4\\times\\:7\\::{\\quad}28$$", "input": "4\\times\\:7", "steps": [ { "type": "step", "primary": "$$4\\times\\:7=28$$", "result": "=28" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7UyWaB8z13paw3z0Yb/dSTQ8gQ6GEB8Ktg4l/7o72W9dCUoGKu6cTztWi0bLxdTdHYjtyHNTbzHDekpQRym6HqUidlpxALAzyOblUS3o6ra8D+RFknFn2Ah6ipZ0RPTyfTAKp22nwEvcbGRl/4LOcFCO/lxCVouXAIeiM7bZDmIzvwG93Es1/4AeK2KexCl3r1o2SXMcP01J2o+iGOwBer3Do2FgNKLDU3THyobcprxT+w+K+LZFP1WgCSnyJ+hpFvzIPeEtDfcHv/z8uls8Teg==" } }, { "type": "step", "result": "=28+17-6+18\\times\\:2" }, { "type": "interim", "title": "Multiply and divide (left to right) $$18\\times\\:2\\::{\\quad}36$$", "input": "18\\times\\:2", "steps": [ { "type": "step", "primary": "$$18\\times\\:2=36$$", "result": "=36" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7HrphAcf5DLvuI3rQBb4wmpRUJPcCR8hinwx9WKHW9ne95EI2JyU+2RT0qArNxlCqDhtxVOWNxB7smlzP/9HSXZNT6hxzP8AL9LHaUHUpzMRN6Hde6Oc1sy3hj28dHFTgD8EM4Kz2zGQrUPmrFQKju2RLd2VwIqlBNByF6663syRzHG3WX2+Lc2thWIcRFwFIk+sYPV843HYAsibsYKUbaU3ibl5ByaQjbgSo4XnMcl0Mw4v4bcKjD/gw+MWsvsPR" } }, { "type": "step", "result": "=28+17-6+36" }, { "type": "interim", "title": "Add and subtract (left to right) $$28+17-6+36\\::{\\quad}75$$", "input": "28+17-6+36", "steps": [ { "type": "step", "primary": "$$28+17=45$$", "result": "=45-6+36" }, { "type": "step", "primary": "$$45-6=39$$", "result": "=39+36" }, { "type": "step", "primary": "$$39+36=75$$", "result": "=75" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=75" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }