Question

a÷-1=-a? For any integer a

Answer 1

a÷-1
= a×1/-1
= a×-1
= -a

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Answer 2

A ÷ - 1 = - a
⇒A/(-1) = - a
⇒A = (-1)×-a
⇒A = a

Hope you like the short and correct method ^_^
Thank you!