Exercice 25 :
↓ Enoncé :
Calculer :
- \( = 8 \times 5 - 3 \times 4 - 7 + 2 \)
- \( = 2 \times (8 - 4) - 5 + 7 \times 3 \)
- \( = 65 - (18 + 3 \times 9) + 7 \times 3 \)
- \( = 2 \times (3 \times 5 - 1) - 5 \times (1 + 1 \times 3) \)
↓ Solution :
- \(
\begin{align}
8 \times 5 - 3 \times 4 - 7 + 2 &= 40 - 12 - 7 + 2 \\
&= 28 - 7 + 2 \\
&= 21 + 2 \\
&= 23
\end{align}
\)
- \(
\begin{align}
2 \times (8 - 4) - 5 + 7 \times 3 &= 2 \times 4 - 5 + 21 \\
&= 8 - 5 + 21 \\
&= 3 + 21 \\
&= 24
\end{align}
\)
- \(
\begin{align}
65 - (18 + 3 \times 9) + 7 \times 3 &= 65 - (18 + 27) + 21 \\
&= 65 - 45 + 21 \\
&= 20 + 21 \\
&= 41
\end{align}
\)
- \(
\begin{align}
2 \times (3 \times 5 - 1) - 5 \times (1 + 1 \times 3) &= 2 \times (15 - 1) - 5 \times (1 + 3) \\
&= 2 \times 14 - 5 \times 4 \\
&= 28 - 20 \\
&= 8
\end{align}
\)