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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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