Mathematics(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) 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

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    Solution:

    (i) Consider the given expression (1)×a.

    Perform multiplication to get the following,

    (1)×a=-a.

    Hence, any integer a is multiplied with (1) which produces the additive inverse of integer a.

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