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(i) For any integer a, what is (− 1) × a equal to?
(ii) Determine the integer whose product with (− 1) is
(a) − 22 (b) 37 (c) 0
(i) As per the question, there will be three cases possible because we can divide
number line among negative integers, 0 and positive integers.
So, case 1: When a is any negative integer, that is, -a,
then (−1) × (-a) = a
So, case 2: When a is 0,
then (−1) × 0 = 0
So, case 3: When a is any positive integer, that is, a,
then (−1) × a = -a
Thus, the possible answers are a, 0 and -a.
(ii) (a)
(b) −37×(−1)=37
(c)
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