SOLUTION: Please help me prove: -a = (-1)*a Thank you.

Question 569226: Please help me prove:
-a = (-1)*a

Thank you.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
-a = (-1)*a
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You need to show the (-1)a is the additive inverse of "a".
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a + (-1)a = (1+(-1))a ; Distributive Law
= 0*a = 0 ; Definition of additive inverse.
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Therefore (-1)a is the additive inverse of a ; Definition of additive inverse.
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Therefore (-1)a = -a ; Def. of equality
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Cheers,
Stan H.
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