longmult 499*7

{ "query": { "display": "long multiplication $$499\\cdot\\:7$$", "symbolab_question": "PRE_ALGEBRA#longmult 499\\cdot 7" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Long Arithmetics", "subTopic": "Long Multiplication", "default": "3493", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$499\\cdot\\:7=3493$$", "input": "499\\cdot\\:7", "steps": [ { "type": "step", "primary": "Line up the numbers", "result": "\\begin{matrix}\\:\\:&4&9&9\\\\\\times\\:&\\:\\:&\\:\\:&7\\end{matrix}" }, { "type": "step", "primary": "Multiply the top number by the bottom number one digit at a time starting with the ones digit (from right to left)" }, { "type": "step", "primary": "Mutliply the bold numbers: $$9\\cdot\\:7=63$$", "secondary": [ "Carry $$6$$ to the column on the left and write $$3$$ in the result line" ], "result": "\\frac{\\begin{matrix}\\:\\:&\\:\\:&6&\\:\\:\\\\\\:\\:&4&9&\\bold{9}\\\\\\times\\:&\\:\\:&\\:\\:&\\bold{7}\\end{matrix}}{\\begin{matrix}\\:\\:&\\:\\:&\\:\\:&3\\end{matrix}}" }, { "type": "step", "primary": "Add the carried number to the multiplication: $$6+9\\cdot\\:7=69$$", "secondary": [ "Carry $$6$$ to the column on the left and write $$9$$ in the result line" ], "result": "\\frac{\\begin{matrix}\\:\\:&6&\\bold{6}&\\:\\:\\\\\\:\\:&4&\\bold{9}&9\\\\\\times\\:&\\:\\:&\\:\\:&\\bold{7}\\end{matrix}}{\\begin{matrix}\\:\\:&\\:\\:&9&3\\end{matrix}}" }, { "type": "step", "primary": "Add the carried number to the multiplication: $$6+4\\cdot\\:7=34$$", "secondary": [ "Carry $$3$$ to the column on the left and write $$4$$ in the result line" ], "result": "\\frac{\\begin{matrix}\\:\\:&3&\\bold{6}&6&\\:\\:\\\\\\:\\:&\\:\\:&\\bold{4}&9&9\\\\\\times\\:&\\:\\:&\\:\\:&\\:\\:&\\bold{7}\\end{matrix}}{\\begin{matrix}\\:\\:&\\:\\:&4&9&3\\end{matrix}}" }, { "type": "step", "primary": "Add the carried digit, $$3$$, to the result", "result": "\\frac{\\begin{matrix}\\:\\:&3&6&6&\\:\\:\\\\\\:\\:&\\:\\:&4&9&9\\\\\\times\\:&\\:\\:&\\:\\:&\\:\\:&7\\end{matrix}}{\\begin{matrix}\\:\\:&3&4&9&3\\end{matrix}}" }, { "type": "step", "result": "=3493" } ], "meta": { "solvingClass": "StepsLongMultiplication" } }, "meta": { "showVerify": true } }