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Concept

Additive Inverse

The additive inverse of a number is another number such that their sum equals

0 .

y

is the additive inverse of

x,

then the following equation holds true.

$x + y = 0$

Given a number, its additive inverse — also called opposite number — can be found by changing the sign. Some examples of additive inverses are listed in the table.

Number	Additive Inverse	Sum
$5$	$- 5$	$5 + (- 5) = 0$
$- 21$	$21$	$- 21 + 21 = 0$
$0$	$- 0$	$0 + (- 0) = 0$
$a$	$- a$	$a + (- a) = 0$
$- b$	$b$	$- b + b = 0$

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