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Question
Starting from (−1)×5, write various products showing some pattern to show (−1)×(−1)=1.
Starting from (−1)×5, write various products showing some pattern to show (−1)×(−1)=1.
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Solution
−1×5=−5
−1×4=−4=−5+1
−1×3=−3=−4+1
−1×2=−2=−3+1
−1×1=−1=−2+1
−1×0=0=−1+1
Therefore,−1×(−1)=0+1=1
−1×5=−5
−1×4=−4=−5+1
−1×3=−3=−4+1
−1×2=−2=−3+1
−1×1=−1=−2+1
−1×0=0=−1+1
Therefore,−1×(−1)=0+1=1
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