Question

A diferença entre os números naturais 15321 e 4255 é igual a:
a) 11177
b) 9167
c) 11066
d) 10167
e) 12166

Answer 1

Resposta:

c) 11066

Explicação passo-a-passo:

$15321-4255$

$\begin{matrix}\space\space&1&5&3&2&1\\ -&0&4&2&5&5\end{matrix}$

$\begin{matrix}\space\space&\space\space&\space\space&\textbf{2}&10&\space\space\\ \space\space&1&5&\textbf{\linethrough{3}}&2&1\\ -&0&4&\textbf{2}&5&5\end{matrix}$

$\begin{matrix}\space\space&\space\space&\space\space&2&\textbf{12}&\space\space\\ \space\space&1&5&\linethrough{3}&\textbf{\linethrough{2}}&1\\ -&0&4&2&\textbf{5}&5\end{matrix}$

$\begin{matrix}\space\space&\space\space&\space\space&2&\textbf{11}&10\\ \space\space&1&5&\linethrough{3}&\textbf{\linethrough{12}}&1\\ -&0&4&2&\textbf{5}&5\end{matrix}$

$\begin{matrix}\space\space&\space\space&\space\space&2&11&\textbf{11}\\ \space\space&1&5&\linethrough{3}&\linethrough{12}&\textbf{\linethrough{1}}\\ -&0&4&2&5&\textbf{5}\end{matrix}$

$\frac{\begin{matrix}\space\space&\space\space&\space\space&2&11&\textbf{11}\\ \space\space&1&5&\linethrough{3}&\linethrough{12}&\textbf{\linethrough{1}}\\ -&0&4&2&5&\textbf{5}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\space\space&\textbf{6}\end{matrix}}$

$\frac{\begin{matrix}\space\space&\space\space&\space\space&2&\textbf{11}&11\\ \space\space&1&5&\linethrough{3}&\textbf{\linethrough{12}}&\linethrough{1}\\ -&0&4&2&\textbf{5}&5\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{6}&6\end{matrix}}$

$\frac{\begin{matrix}\space\space&\space\space&\space\space&\textbf{2}&11&11\\ \space\space&1&5&\textbf{\linethrough{3}}&\linethrough{12}&\linethrough{1}\\ -&0&4&\textbf{2}&5&5\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{0}&6&6\end{matrix}}$

$\frac{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&2&11&11\\ \space\space&1&\textbf{5}&\linethrough{3}&\linethrough{12}&\linethrough{1}\\ -&0&\textbf{4}&2&5&5\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{1}&0&6&6\end{matrix}}$

$\frac{\begin{matrix}\space\space&\textbf{\space\space}&\space\space&2&11&11\\ \space\space&\textbf{1}&5&\linethrough{3}&\linethrough{12}&\linethrough{1}\\ -&\textbf{0}&4&2&5&5\end{matrix}}{\begin{matrix}\space\space&\textbf{1}&1&0&6&6\end{matrix}}$

$=11066$