Question

(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

Answer 1

(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) $\underline{-37}\times \left(-1\right)=37$

(c)