Question

You walk 5,682 steps, your teacher walks 4,219 steps more than you. About how many steps does your teacher walk

Answer 1

9901

Explanation:

You = 5682

Teacher = 4219 + your steps

Add the two no of steps

`5682 +4219`

`\begin{matrix}\space\space&5&6&8&2\\ +&4&2&1&9\end{matrix}\\\\\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\\\quad \:2+9=11\\\begin{matrix}\space\space&5&6&8&\textbf{2}\\ +&4&2&1&\textbf{9}\end{matrix}\\\\\mathrm{Carry\:}1\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}1\mathrm{\:in\:the\:bolded\:column}\\`

`\frac{\begin{matrix}\space\space&\space\space&\space\space&1&\textbf{\space\space}\\ \space\space&5&6&8&\textbf{2}\\ +&4&2&1&\textbf{9}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{1}\end{matrix}}\\\\\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\\\quad \:1+8+1=10\\\\`

`\frac{\begin{matrix}\space\space&\space\space&\space\space&\textbf{1}&\space\space\\ \space\space&5&6&\textbf{8}&2\\ +&4&2&\textbf{1}&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{\space\space}&1\end{matrix}}\\\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{1}&\space\space\\ \space\space&5&6&\textbf{8}&2\\ +&4&2&\textbf{1}&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{0}&1\end{matrix}}\\\\\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\quad \:1+6+2=9\\\\\frac{\begin{matrix}\space\space&\space\space&\textbf{1}&1&\space\space\\ \space\space&5&\textbf{6}&8&2\\ +&4&\textbf{2}&1&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&0&1\end{matrix}}\\`

`\mathrm{Add\:the\:digits\:of\:the\:bolded\:column}:\quad \:5+4=9\\\\\frac{\begin{matrix}\space\space&\textbf{\space\space}&1&1&\space\space\\ \space\space&\textbf{5}&6&8&2\\ +&\textbf{4}&2&1&9\end{matrix}}{\begin{matrix}\space\space&\textbf{9}&9&0&1\end{matrix}}\\\\=9901`