4(-7-2)

{ "query": { "display": "$$4\\left(-7-2\\right)$$", "symbolab_question": "PEMDAS#4(-7-2)" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-36", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$4\\left(-7-2\\right)=-36$$", "input": "4\\left(-7-2\\right)", "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 $$\\left(-7-2\\right)\\::{\\quad}-9$$", "input": "-7-2", "steps": [ { "type": "step", "primary": "$$-7-2=-9$$", "result": "=-9" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s76wtEguTzRcLgBKMveRnU2vzN4REgISe/UOzkDX8F0jCv9MIsZya8fYcQHHxfZktTmvvSjNrYNOC3pORFDB1j2GGzYG+feNHA/RXis0/ROEBUCSzIkXkz7FFhQgHROzThTeQKHeh69S6dnv9vSoUoFG5cLXY2/x8k2DiWeCUO6mNouIfdvT+DiZJcj2uoZXfGQcg77eTlBhMB+LVn9aOl8w==" } }, { "type": "step", "result": "=4\\left(-9\\right)" }, { "type": "interim", "title": "Multiply and divide (left to right) $$4\\left(-9\\right)\\::{\\quad}-36$$", "input": "4\\left(-9\\right)", "steps": [ { "type": "step", "primary": "Apply rule $$a\\cdot\\:\\left(-b\\right)\\:=\\:-a\\cdot\\:b$$", "secondary": [ "$$4\\left(-9\\right)=-4\\cdot\\:9=-36$$" ], "result": "=-36" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7NP9pDrjjLvV3Xhchly6B15N1pXT08zEQpn0WJ6CFMXCxNxdCz6dJOPwrC6qVrnKX5/M9V06YuiAesNZL61wMmwooixX1tHS2MBXLlhj4W/bTFtUGIJyTZbP+DbJIz+2272wZm7kDUxdE6YSmfEbr2okaNrC9eWe0SgEH0crqKCG9SuDGHyuGjLqyzox95B6+HVAD670Wnbl+RbqCE+lpIrCI2sSeA74029n2yo277ZU=" } }, { "type": "step", "result": "=-36" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }