# Additive Inverses and Absolute Values

## Key Questions

• Additive Inverse Property

For all element $a$, there is a unique element $- a$ such that

$a + \left(- a\right) = 0$

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• You can think of the absolute value sign as a negative sign eraser. It does not do anything to a nonnegative number but turns a negative number into the positive number having the same magnitude; for example, $| 2 | = 2$ and $| - 3 | = 3$.

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