# Calculate: 673* 54

## Expression: $673\times 54$

Multiply the top number by the bolded digit of the bottom number

$\begin{matrix}\:\:&\bold{6}&\bold{7}&\bold{3}\\\times &\:\:&5&\bold{4}\end{matrix}$

Mutliply the bold numbers $3\times 4=12$

$\frac{\begin{matrix}\:\:&\:\:&1&\:\:\\\:\:&6&7&\bold{3}\\\times &\:\:&5&\bold{4}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&2\end{matrix}}$

Add the carried number to the multiplication $1+7\times 4=29$

$\frac{\begin{matrix}\:\:&2&\bold{1}&\:\:\\\:\:&6&\bold{7}&3\\\times &\:\:&5&\bold{4}\end{matrix}}{\begin{matrix}\:\:&\:\:&9&2\end{matrix}}$

Add the carried number to the multiplication $2+6\times 4=26$

$\frac{\begin{matrix}\:\:&2&\bold{2}&1&\:\:\\\:\:&\:\:&\bold{6}&7&3\\\times &\:\:&\:\:&5&\bold{4}\end{matrix}}{\begin{matrix}\:\:&\:\:&6&9&2\end{matrix}}$

Add the carried digit, $2$, to the result

$\frac{\begin{matrix}\:\:&2&2&1&\:\:\\\:\:&\:\:&6&7&3\\\times &\:\:&\:\:&5&4\end{matrix}}{\begin{matrix}\:\:&2&6&9&2\end{matrix}}$

Multiply the top number by the bolded digit of the bottom number

$\frac{\begin{matrix}\:\:&\:\:&\bold{6}&\bold{7}&\bold{3}\\\:\:&\times &\:\:&\bold{5}&4\end{matrix}}{\begin{matrix}\:\:&2&6&9&2\end{matrix}}$

Mutliply the bold numbers $3\times 5=15$

$\frac{\begin{matrix}\:\:&\:\:&\:\:&1&\:\:\\\:\:&\:\:&6&7&\bold{3}\\\:\:&\times &\:\:&\bold{5}&4\end{matrix}}{\begin{matrix}\:\:&2&6&9&2\\\:\:&\:\:&\:\:&5&\:\:\end{matrix}}$

Add the carried number to the multiplication $1+7\times 5=36$

$\frac{\begin{matrix}\:\:&\:\:&3&\bold{1}&\:\:\\\:\:&\:\:&6&\bold{7}&3\\\:\:&\times &\:\:&\bold{5}&4\end{matrix}}{\begin{matrix}\:\:&2&6&9&2\\\:\:&\:\:&6&5&\:\:\end{matrix}}$

Add the carried number to the multiplication $3+6\times 5=33$

$\frac{\begin{matrix}\:\:&3&\bold{3}&1&\:\:\\\:\:&\:\:&\bold{6}&7&3\\\times &\:\:&\:\:&\bold{5}&4\end{matrix}}{\begin{matrix}\:\:&2&6&9&2\\\:\:&3&6&5&\:\:\end{matrix}}$

Add the carried digit, $3$, to the result

$\frac{\begin{matrix}\:\:&3&3&1&\:\:\\\:\:&\:\:&6&7&3\\\times &\:\:&\:\:&5&4\end{matrix}}{\begin{matrix}\:\:&2&6&9&2\\3&3&6&5&\:\:\end{matrix}}$

Add the rows to get the answer. For simplicity, fill in trailing zeros

$\frac{\begin{matrix}\:\:&\:\:&6&7&3\\\:\:&\times &\:\:&5&4\end{matrix}}{\begin{matrix}0&2&6&9&2\\3&3&6&5&0\end{matrix}}$

Line up the numbers

$\begin{matrix}\:\:&6&7&3\\\times &\:\:&5&4\end{matrix}$ $=36342$

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