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Absolute Value

Absolute value is a mathematician's way of judging numbers by their magnitude rather than their positive/negative value. It is the distance of the number from 0 on a number line.

Definition

         

Evaluate \[\lvert 13 \rvert+\lvert -27 \rvert.\]

Evaluate

\[ \left| \sqrt{5}-2 \right| + \left| \sqrt{5}-3 \right|. \]

Evaluate \[\big\lvert\lvert-7\rvert-\lvert1\rvert\big\rvert.\]

Let \(a\) be a positive number whose absolute value is \(31\). Let \(b\) be a negative number whose absolute value is \(12\). What is the value of \(a+b\)?

Simplify \[\left\lvert {\frac{8}{11} \times (-55)} \right\rvert.\]

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