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Question
For any integer a, what is (− 1) × a equal to?
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Solution
As per the question, three cases will be possible because we can divide the number line among negative integers, 0 and positive integers. So,
In Case 1: When a is any negative integer, that is, −a, then (−1) × (−a) = a
In Case 2: When a is 0, then (−1) × 0 = 0
In Case 3: When a is any positive integer, that is, a, then (−1) × a = −a
Thus, the possible answers are a, 0 and −a
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