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
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