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Adding the opposite of a number to the same number will equal to \(0\) (zero).

**Inverse property of addition:**For every integer (\(a\)) there exists another opposite integer (\(-a\)) such that:

$(a)\phantom{\rule{0.147em}{0ex}}+(-a)\phantom{\rule{0.147em}{0ex}}=0.$

Where \(a\) is an integer, the additive inverse of \(a\) is \(-a\).

Example:

$\begin{array}{l}(3)+(-3)\phantom{\rule{0.147em}{0ex}}=0.\\ \\ (20)+(-20)\phantom{\rule{0.147em}{0ex}}=0.\end{array}$

Important!

**1.**Additive inverse of \(a\) is \(-a\).

**2.**Addition and subtraction are inverse operations of each other.