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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.

# Absolute Value Warmup

How many real numbers have an absolute value of 4?

$\frac{\mid x \mid}{x} = ?$

If $$-5 \leq x \leq 5,$$ what value of $$x$$ produces the greatest sum for this expression?

$$\mid 3 + x\mid + \mid x - 4 \mid$$

If five more than the absolute value of a number is less than seven, which statement best describes the number?

How much larger is $$\mid 10\mid$$ than $$\mid -10 \mid ?$$

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