Question

Multiply 96 and 49. Show steps.

Answer 1

Answer:

$96\cdot \:49=4704$

Step-by-step explanation:

$96\cdot \:49$

$\gray{\mathrm{Line\:up\:the\:numbers}}$

$\begin{matrix}\space\space&9&6\\ \mathrm{x}&4&9\end{matrix}$

$\gray{\mathrm{Multiply\:the\:top\:number\:by\:the\:bottom\:number\:one}}$ $\gray{\mathrm{digit\:at\:a\:time\:starting\:with\:the\:ones\:digit\:\left(from\:right\:to\:left\right)}$

$\gray{\mathrm{Multiply\:the\:top\:number\:by\:the\:bolded\:digit\:of\:the\:bottom\:number}}$

$\begin{matrix}\space\space&\textbf{9}&\textbf{6}\\ \mathrm{x}&4&\textbf{9}\end{matrix}$

$\gray{\mathrm{Mutliply\:the\:bold\:numbers}:\quad \:6\cdot \:9=54}$

$\gray{\mathrm{Carry\:}5\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}4\mathrm{\:in\:the\:result\:line}}$

$\frac{\begin{matrix}\space\space&8&\textbf{5}&\space\space\\ \space\space&\space\space&\textbf{9}&6\\ \mathrm{x}&\space\space&4&\textbf{9}\end{matrix}}{\begin{matrix}\space\space&\space\space&6&4\end{matrix}}$

$\gray{\mathrm{Add\:the\:carried\:digit,\:}8\mathrm{,\:to\:the\:result}}$

$\frac{\begin{matrix}\space\space&8&5&\space\space\\ \space\space&\space\space&9&6\\ \mathrm{x}&\space\space&4&9\end{matrix}}{\begin{matrix}\space\space&8&6&4\end{matrix}}$

$\gray{\mathrm{Multiply\:the\:top\:number\:by\:the\:bolded\:digit\:of\:the\:bottom\:number}}$

$\frac{\begin{matrix}\space\space&\space\space&\textbf{9}&\textbf{6}\\ \space\space&\mathrm{x}&\textbf{4}&9\end{matrix}}{\begin{matrix}\space\space&8&6&4\end{matrix}}$

$\gray{\mathrm{Mutliply\:the\:bold\:numbers}:\quad \:6\cdot \:4=24}$

$\gray{\mathrm{Carry\:}2\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}4\mathrm{\:in\:the\:result\:line}}$

$\frac{\begin{matrix}\space\space&\space\space&2&\space\space\\ \space\space&\space\space&9&\textbf{6}\\ \space\space&\mathrm{x}&\textbf{4}&9\end{matrix}}{\begin{matrix}\space\space&8&6&4\\ \space\space&\space\space&4&\space\space\end{matrix}}$

$\gray{\mathrm{Add\:the\:carried\:number\:to\:the\:multiplication}:\quad \:2+9\cdot \:4=38}$

$\gray{\mathrm{Carry\:}3\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}8\mathrm{\:in\:the\:result\:line}}$

$\frac{\begin{matrix}\space\space&3&\textbf{2}&\space\space\\ \space\space&\space\space&\textbf{9}&6\\ \mathrm{x}&\space\space&\textbf{4}&9\end{matrix}}{\begin{matrix}\space\space&8&6&4\\ \space\space&8&4&\space\space\end{matrix}}$

$\gray{\mathrm{Add\:the\:carried\:digit,\:}3\mathrm{,\:to\:the\:result}}$

$\frac{\begin{matrix}\space\space&3&2&\space\space\\ \space\space&\space\space&9&6\\ \mathrm{x}&\space\space&4&9\end{matrix}}{\begin{matrix}\space\space&8&6&4\\ 3&8&4&\space\space\end{matrix}}$

$\gray{\mathrm{Add\:the\:rows\:to\:get\:the\:answer.\:\:For\:simplicity,\:fill\:in\:trailing\:zeros}}$

$\frac{\begin{matrix}\space\space&\space\space&9&6\\ \space\space&\mathrm{x}&4&9\end{matrix}}{\begin{matrix}0&8&6&4\\ 3&8&4&0\end{matrix}}$

Continued by @BrainlyVirat

Answer 2

Continuation of the previous answer. :

$\black{864+3840}$

$\begin{matrix}\space\space&0&8&6&4\\ +&3&8&4&0\end{matrix}$

$\gray{\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\quad \:4+0=4}$

$\frac{\begin{matrix}\space\space&0&8&6&\textbf{4}\\ +&3&8&4&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}$

$\gray{\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\quad \:6+4=10}$

$\frac{\begin{matrix}\space\space&0&8&\textbf{6}&4\\ +&3&8&\textbf{4}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{\space\space}&4\end{matrix}}$

$\gray{\mathrm{Carry\:}1\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}0\mathrm{\:in\:the\:bolded\:column}}$

$\frac{\begin{matrix}\space\space&\space\space&1&\textbf{\space\space}&\space\space\\ \space\space&0&8&\textbf{6}&4\\ +&3&8&\textbf{4}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{0}&4\end{matrix}}$

$\gray{\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\quad \:1+8+8=17}$

$\frac{\begin{matrix}\space\space&\space\space&\textbf{1}&\space\space&\space\space\\ \space\space&0&\textbf{8}&6&4\\ +&3&\textbf{8}&4&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&0&4\end{matrix}}$

$\gray{\mathrm{Carry\:}1\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}7\mathrm{\:in\:the\:bolded\:column}}$

$\frac{\begin{matrix}\space\space&1&\textbf{1}&\space\space&\space\space\\ \space\space&0&\textbf{8}&6&4\\ +&3&\textbf{8}&4&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{7}&0&4\end{matrix}}$

$\gray{\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\quad \:1+0+3=4}$

$\frac{\begin{matrix}\space\space&\textbf{1}&1&\space\space&\space\space\\ \space\space&\textbf{0}&8&6&4\\ +&\textbf{3}&8&4&0\end{matrix}}{\begin{matrix}\space\space&\textbf{4}&7&0&4\end{matrix}}$

$=4704$