(a)
4. Starting from (-1) × 5, write various products showing some pattern to show
(-1)×(-1) = 1.
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Answer:
–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 so,
– 1 × (–1) = 0 + 1 = 1.
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