88\div [5× 3-2+5(3-2)+4]+2

{ "query": { "display": "$$88\\div\\:[5\\times\\:3-2+5\\left(3-2\\right)+4]+2$$", "symbolab_question": "PEMDAS#88\\div [5\\times 3-2+5(3-2)+4]+2" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "6", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$88\\div\\:[5\\times\\:3-2+5\\left(3-2\\right)+4]+2=6$$", "input": "88\\div\\:[5\\times\\:3-2+5\\left(3-2\\right)+4]+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 $$[5\\times\\:3-2+5\\left(3-2\\right)+4]\\::{\\quad}22$$", "input": "5\\times\\:3-2+5\\left(3-2\\right)+4", "steps": [ { "type": "interim", "title": "Calculate within parentheses $$\\left(3-2\\right)\\::{\\quad}1$$", "input": "3-2", "steps": [ { "type": "step", "primary": "$$3-2=1$$", "result": "=1" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7OplkcYfVYFhyua8uDeART08Oi9tX9GCNoz2ePaVoLVuTdaV09PMxEKZ9FieghTFwblwtdjb/HyTYOJZ4JQ7qY/g+uAOf/Cj4TkRfJfp64ZFVvkcrYEcyUAiBeXK8TL0mQmaOJv7XVVkWF+tYg8b888yOLnWPRD4ggwHHGXHuz2xlIQDVl923RktbnF3L2AE4o0ek3tRRlQO5PYxdhpg61rCI2sSeA74029n2yo277ZU=" } }, { "type": "step", "result": "=5\\times\\:3-2+5\\cdot\\:1+4" }, { "type": "interim", "title": "Multiply and divide (left to right) $$5\\times\\:3\\::{\\quad}15$$", "input": "5\\times\\:3", "steps": [ { "type": "step", "primary": "$$5\\times\\:3=15$$", "result": "=15" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7OplkcYfVYFhyua8uDeART2SI+jLXLeo6x6Tu3sDb02DIu93BGGbB7j4UtQyL/TDWAcBhHjznVwUvZszb49gJrV4WwA19oL8inzSjZDhTQkv1KUySAdCvO+8FxOd/XjNIxVmutyOFn3lDkbHyXLpS/EdCoyvHvSvtTFuS7qTeSx44xJeDRMeuTS1ed3Oun0GvdpQSEBOqwRNiAczc+hZ4y2cjIiOqW9Et+X9SPCGNBAhQRtTbg1Dk8uZbpDU/s+1p" } }, { "type": "step", "result": "=15-2+5\\cdot\\:1+4" }, { "type": "interim", "title": "Multiply and divide (left to right) $$5\\cdot\\:1\\::{\\quad}5$$", "input": "5\\cdot\\:1", "steps": [ { "type": "step", "primary": "$$5\\cdot\\:1=5$$", "result": "=5" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7VJZQKTZiirTpHhdHhmNvaGLsUJTGHPfwRHGVS9Twgmfl/juDFhnak8wwDvzPP0tPkcdRb7rYIWxpgmNSJlE6yF1uxgPln/1TjCy/lFYAUw9fRo/raKRvZROrpE1tSt1FXn2AIuIrv9ybM/7QFiSC0NbA+zX4bD3u3gx65o2NJhNwALfjLwwpT12Y+CeeOxDZGxUnxrfiOu/81z6hPXE966rv7HhjZzHJqxfBVR1Q08XZ1DLBxSMuTbJsbctewbtk" } }, { "type": "step", "result": "=15-2+5+4" }, { "type": "interim", "title": "Add and subtract (left to right) $$15-2+5+4\\::{\\quad}22$$", "input": "15-2+5+4", "steps": [ { "type": "step", "primary": "$$15-2=13$$", "result": "=13+5+4" }, { "type": "step", "primary": "$$13+5=18$$", "result": "=18+4" }, { "type": "step", "primary": "$$18+4=22$$", "result": "=22" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=22" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7aX4pWIfZsJ9eO3Hau+1LDjS+KVrDYVShBriEj9bvUpestCKkgYOsE8CFPW6IJn++j2P94P+vtDpJA/0KkrbxKmUhANWX3bdGS1ucXcvYATjtmXHlk7z/+1Roc/9uUuht+/lJfX/disKDAK4qG4nnGg1YQKs0xM8q1iqkKj7/v1rveZL7Ikzf1Wzhg3NWmgdJZT1aED0gb1+IAP3vRl33vh8JRslkmU4o2zIYcqLbUP050E9xXEL/7CiieHa1qk27+/lJfX/disKDAK4qG4nnGtnUMsHFIy5Nsmxty17Bu2Q=" } }, { "type": "step", "result": "=88\\div\\:22+2" }, { "type": "interim", "title": "Multiply and divide (left to right) $$88\\div\\:22\\::{\\quad}4$$", "input": "88\\div\\:22", "steps": [ { "type": "step", "primary": "$$88\\div\\:22=4$$", "result": "=4" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7aX4pWIfZsJ9eO3Hau+1LDrhtkqL1vFtBwms2QTNKujbBdCRZbfcAskaMoDovZtxNsym5GQXPkoys+F5plIbRZx9MVxkq0ng/BDIaPhEy2Ij85yLhsiAXYe8yg4/SePXyOeW059aDTUqYzZFWjKYy1u/Ab3cSzX/gB4rYp7EKXevWjZJcxw/TUnaj6IY7AF6vcOjYWA0osNTdMfKhtymvFApOT0Q28w9eQ3nPG2jECZK/Mg94S0N9we//Py6WzxN6" } }, { "type": "step", "result": "=4+2" }, { "type": "interim", "title": "Add and subtract (left to right) $$4+2\\::{\\quad}6$$", "input": "4+2", "steps": [ { "type": "step", "primary": "$$4+2=6$$", "result": "=6" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=6" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }