-3/3 (1+(-4)(-6+5)-(-6+1))

{ "query": { "display": "$$-\\frac{3}{3}\\left(1+\\left(-4\\right)\\left(-6+5\\right)-\\left(-6+1\\right)\\right)$$", "symbolab_question": "PEMDAS#-\\frac{3}{3}(1+(-4)(-6+5)-(-6+1))" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-10", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$-\\frac{3}{3}\\left(1+\\left(-4\\right)\\left(-6+5\\right)-\\left(-6+1\\right)\\right)=-10$$", "input": "-\\frac{3}{3}\\left(1+\\left(-4\\right)\\left(-6+5\\right)-\\left(-6+1\\right)\\right)", "steps": [ { "type": "interim", "title": "$$\\frac{3}{3}=1$$", "steps": [ { "type": "step", "primary": "Apply rule $$\\frac{a}{a}=1$$" }, { "type": "step", "result": "1" } ], "meta": { "interimType": "Simplify Fraction 1Eq" } }, { "type": "step", "result": "=-1\\cdot\\:\\left(1+\\left(-4\\right)\\left(-6+5\\right)-\\left(-6+1\\right)\\right)" }, { "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 $$\\left(1+\\left(-4\\right)\\left(-6+5\\right)-\\left(-6+1\\right)\\right)\\::{\\quad}10$$", "input": "1+\\left(-4\\right)\\left(-6+5\\right)-\\left(-6+1\\right)", "steps": [ { "type": "interim", "title": "Calculate within parentheses $$\\left(-6+5\\right)\\::{\\quad}-1$$", "input": "-6+5", "steps": [ { "type": "step", "primary": "$$-6+5=-1$$", "result": "=-1" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7lE5Ng9NjKJI3QO3AmfOvklSPmKoIrydPcej0JzNC32TS9ZlQE23VtNoYA2VbyQrZtwfCBwedKzU2vsi4upqZtIpcK4bilxnijs2uhoe8+SBEV8moMy+yjnj6Mo1cuWkwisw0OAfuPI57i9BGvkjaHMyOLnWPRD4ggwHHGXHuz2xlIQDVl923RktbnF3L2AE4eCtumNj3nG+3TrP8kUbR6dnUMsHFIy5Nsmxty17Bu2Q=" } }, { "type": "step", "result": "=1+\\left(-4\\right)\\left(-1\\right)-\\left(-6+1\\right)" }, { "type": "interim", "title": "Calculate within parentheses $$\\left(-6+1\\right)\\::{\\quad}-5$$", "input": "-6+1", "steps": [ { "type": "step", "primary": "$$-6+1=-5$$", "result": "=-5" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7lE5Ng9NjKJI3QO3AmfOvkloeEfLq3cKLiMDxU2/wnRSPY/3g/6+0OkkD/QqStvEqZSEA1Zfdt0ZLW5xdy9gBOL7tSUeqlIJZvAikJcLdCBh4l9+XUP4dNZSL8WpmbbeT8/3tTxZmBmZTXaxCLMF2lwyEqikpXYsBOR/8cL+XBB8yY6+PtWw+vNwh1Rvh5xfn1zmu8gWxfRayWJBPzVC9Pb8yD3hLQ33B7/8/LpbPE3o=" } }, { "type": "step", "result": "=1+\\left(-4\\right)\\left(-1\\right)-\\left(-5\\right)" }, { "type": "interim", "title": "Multiply and divide (left to right) $$\\left(-4\\right)\\left(-1\\right)\\::{\\quad}4$$", "input": "\\left(-4\\right)\\left(-1\\right)", "steps": [ { "type": "step", "primary": "Apply rule $$\\left(-a\\right)\\cdot\\:\\left(-b\\right)\\:=\\:a\\cdot\\:b$$", "secondary": [ "$$\\left(-4\\right)\\left(-1\\right)=4\\cdot\\:1=4$$" ], "result": "=4" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7lE5Ng9NjKJI3QO3AmfOvkmfMduiYlEGMuQIZc51N8MgoaH1bKOSCvM7qpvh3euIpuHzwX7I9jhFpvjvhK4nxxA1++bCvV49Pr8ihTogBf7AzVNyPVUpRRa2vgk+xUCcNT6atXecexIh2rUsWoezUy03kCh3oevUunZ7/b0qFKBSxNxdCz6dJOPwrC6qVrnKX5/M9V06YuiAesNZL61wMm7uYLwq+ts0zzSWy2SoxmFIkt3WiGR7ZaCaXvz77bMjS" } }, { "type": "step", "result": "=1+4-\\left(-5\\right)" }, { "type": "interim", "title": "Add and subtract (left to right) $$1+4-\\left(-5\\right)\\::{\\quad}10$$", "input": "1+4-\\left(-5\\right)", "steps": [ { "type": "step", "primary": "$$1+4=5$$", "result": "=5-\\left(-5\\right)" }, { "type": "step", "primary": "Apply rule $$-\\left(-a\\right)\\:=\\:+a$$", "secondary": [ "$$-\\left(-5\\right)=+5$$" ], "result": "=5+5" }, { "type": "step", "primary": "$$5+5=10$$", "result": "=10" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=10" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s74TqdRGDyv3oqElK9EevGS9gNg0BEDcokhmXd5T8bxc95GbQGUDdGJI4qLgw0Z3eRDECVNp8YqV3yhCpXv8wVaK71upxafoCdPh6EHIjGDNUGSQNlgtLjQR6oKfqAoIHO8VM9BivmEO+wTKVmbGFe1XiX35dQ/h01lIvxamZtt5P6JkQSOjR0Ri1IeXvAl8VyDISqKSldiwE5H/xwv5cEHzJjr4+1bD683CHVG+HnF+dIK1kTswRBdpEcDg5rHPnmtroAW41ne+J+lyquhH4j2CS3daIZHtloJpe/PvtsyNI=" } }, { "type": "step", "result": "=-1\\cdot\\:10" }, { "type": "interim", "title": "Multiply and divide (left to right) $$-1\\cdot\\:10\\::{\\quad}-10$$", "input": "-1\\cdot\\:10", "steps": [ { "type": "step", "primary": "$$-1\\cdot\\:10=-10$$", "result": "=-10" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7Lg8EOcbnnWIUSo7Zgt3ah2MIwq2YLxZvhGIwfjQLa4liO3Ic1NvMcN6SlBHKboepSJ2WnEAsDPI5uVRLejqtrz6M8xuNu/DSYXXBp7JTrH/RPZ9NWvr3XqZr+vj1/x/xmORxtkPRKlv13R5cgHpZyHql8XXPq6bNQlMm+36iNhk599Z4PAFkgztpmDO7zdWEgyM8/8XQ1a7G7SMs0ndMSpNdJcMf5Yp31mfLuhVzBVfFnqRDXyMGFD3t9lE2Q7Mz" } }, { "type": "step", "result": "=-10" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }