Question
Starting from $(-1) \times 5$, write various products showing same pattern to show $(- 1 ) \times(- 1 )= 1$.
✓
Answer
We have, $(-1) \times 5=-5$
Multiply -1 with other integers like $4,3,2,1,0$ and -1 , we get
$
\begin{array}{l}
(-1) \times 4=-4,(-1) \times 3=-3, \\
(-1) \times 2=-2,(-1) \times 1=-1, \\
(-1) \times 0=0,(-1) \times(-1)=1
\end{array}
$
Hence, $(-1) \times(-1)=1$
Multiply -1 with other integers like $4,3,2,1,0$ and -1 , we get
$
\begin{array}{l}
(-1) \times 4=-4,(-1) \times 3=-3, \\
(-1) \times 2=-2,(-1) \times 1=-1, \\
(-1) \times 0=0,(-1) \times(-1)=1
\end{array}
$
Hence, $(-1) \times(-1)=1$
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