{ "query": { "display": "simplify $$\\left(-5.13\\right)\\left(6.4\\right)$$", "symbolab_question": "SIMPLIFY#simplify (-5.13)(6.4)" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "-32.832", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(-5.13\\right)\\left(6.4\\right)=-32.832$$", "input": "\\left(-5.13\\right)\\left(6.4\\right)", "steps": [ { "type": "interim", "title": "$$\\left(-5.13\\right)\\left(6.4\\right)=-5.13\\cdot\\:6.4$$", "input": "\\left(-5.13\\right)\\left(6.4\\right)", "steps": [ { "type": "step", "primary": "Apply rule: $$\\left(a\\right)=a$$", "secondary": [ "$$\\left(6.4\\right)=6.4$$" ], "result": "=\\left(-5.13\\right)\\cdot\\:6.4" }, { "type": "step", "primary": "Apply rule: $$\\left(-a\\right)=-a$$", "secondary": [ "$$\\left(-5.13\\right)=-5.13$$" ], "result": "=-5.13\\cdot\\:6.4" } ], "meta": { "solvingClass": "Solver2", "interimType": "Solver2", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7QWg6tGQQD2R6beFPkcDOJ1XTSum/z5kLpMzXS1UJIezhMR+pOEBNre42Rn+KUqqE7a96xkrlzgrDplRCgIPvBMyAv/ufpQSBYia4M1QBkPuPrm9WJNTXqr1nTuUw+wzGi0LgZ8eNyiQJ5E6AanwmBA==" } }, { "type": "step", "result": "=-5.13\\cdot\\:6.4" }, { "type": "step", "primary": "Multiply the numbers: $$-5.13\\cdot\\:6.4=-32.832$$", "result": "=-32.832" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }