Question

What is the difference of 67 minus 45.2

Answer 1

We have to find the difference of 67 minus 45.2

Let us find the difference of these two numbers i.e.
`67 - 45.2`

`\begin{matrix}\space\space&6&7&.&\textbf{0}\\ -&4&5&.&\textbf{2}\end{matrix}\\\mathrm{Borrow\:}1\mathrm{\:from\:}7\mathrm{.\:\:The\:remainder\:is\:}6\\\begin{matrix}\space\space&\space\space&\textbf{6}&\space\space&10\\ \space\space&6&\textbf{x}&.&0\\ -&4&\textbf{5}&.&2\end{matrix}`

`\mathrm{Add\:}1\mathrm{\:ten\:to\:}0:\quad \:10+0=10\\\begin{matrix}\space\space&\space\space&6&\space\space&\textbf{10}\\ \space\space&6&x&.&\textbf{x}\\ -&4&5&.&\textbf{2}\end{matrix}`
`\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:10-2=8\\\frac{\begin{matrix}\space\space&\space\space&6&\space\space&\textbf{10}\\ \space\space&6&x&.&\textbf{x}\\ -&4&5&.&\textbf{2}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}\end{matrix}}`

`\mathrm{Place\:the\:decimal\:point\:in\:the\:answer\:directly\:below\:the\:decimal\:points\:in\:the\:terms}\\\frac{\begin{matrix}\space\space&\space\space&6&\textbf{\space\space}&10\\ \space\space&6&x&\textbf{.}&x\\ -&4&5&\textbf{.}&2\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{.}&8\end{matrix}}`

`\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:6-5=1\\\frac{\begin{matrix}\space\space&\space\space&\textbf{6}&\space\space&10\\ \space\space&6&\textbf{x}&.&x\\ -&4&\textbf{5}&.&2\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{1}&.&8\end{matrix}}`

`\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:6-4=2\\\frac{\begin{matrix}\space\space&\textbf{\space\space}&6&\space\space&10\\ \space\space&\textbf{6}&x&.&x\\ -&\textbf{4}&5&.&2\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&1&.&8\end{matrix}}`

Therefore, the required difference is 21.8