Corollary: Properties of the Absolute Value
(related to Definition: Absolute Value of Real Numbers (Modulus))
The absolute value has the following properties:
- \(|-x|=|x|\) for all \(x\in\mathbb R\).
- \(|xy|=|x||y|\) for all \(x,y\in\mathbb R\).
- \(|\frac xy|=\frac{|x|}{|y|}\) for all \(x,y\in\mathbb R\), \(y\neq 0\).
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2 3 4 5
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Footnotes