{ "query": { "display": "$$10\\cdot\\:12-\\frac{14}{2}+15$$", "symbolab_question": "PEMDAS#10\\cdot 12-\\frac{14}{2}+15" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "128", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$10\\cdot\\:12-\\frac{14}{2}+15=128$$", "input": "10\\cdot\\:12-\\frac{14}{2}+15", "steps": [ { "type": "interim", "title": "$$\\frac{14}{2}=7$$", "steps": [ { "type": "step", "primary": "Divide the numbers: $$\\frac{14}{2}=7$$" }, { "type": "step", "result": "7" } ], "meta": { "interimType": "Simplify Fraction 1Eq" } }, { "type": "step", "result": "=10\\cdot\\:12-7+15" }, { "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) $$10\\cdot\\:12\\::{\\quad}120$$", "input": "10\\cdot\\:12", "steps": [ { "type": "step", "primary": "$$10\\cdot\\:12=120$$", "result": "=120" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7TKHpyJu/WyMWlypSHK0cjt4oqGE0BgdGgATSiFv1RKuwhltjdwmrtFHCw24fDnGIwXQkWW33ALJGjKA6L2bcTbMpuRkFz5KMrPheaZSG0WdZQSv34Dpz041sSgWstcSXdfWYA+YhC79g6COnxApM9askjXNVf5HSkH9/rJwG96bWwPs1+Gw97t4MeuaNjSYTcAC34y8MKU9dmPgnnjsQ2RsVJ8a34jrv/Nc+oT1xPeu9JJ4uVv7JUZC2yaeG6kQ6wLXdBe1xJVqvKz+3xokrVA==" } }, { "type": "step", "result": "=120-7+15" }, { "type": "interim", "title": "Add and subtract (left to right) $$120-7+15\\::{\\quad}128$$", "input": "120-7+15", "steps": [ { "type": "step", "primary": "$$120-7=113$$", "result": "=113+15" }, { "type": "step", "primary": "$$113+15=128$$", "result": "=128" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=128" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }