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Question
For any integer a, what is (− 1) × a equal to?
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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| Column I | Column II |
| (a) a × 1 | (i) Additive inverse of a |
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| (c) (–a) ÷ (–b) | (iii) Multiplicative identity |
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| (h) a ÷ (–a) | (viii) 0 |
| (i) –a | (ix) –1 |
