Questions: Rewrite the following expression without absolute value bars. -263 -263= 263

Transcript text: Rewrite the following expression without absolute value bars. \[ |-263| \] \[ |-263|= \] $\square$

Solution

Solution Steps

Step 1: Understand the Absolute Value

The absolute value of a number represents its distance from zero on the number line, regardless of direction. Therefore, $ |x| $ is always non-negative.

Step 2: Apply the Absolute Value Definition

For any real number $ x $, $ |x| = x $ if $ x \geq 0 $, and $ |x| = -x $ if $ x < 0 $.

Step 3: Evaluate $ |-263| $

Since $ -263 < 0 $, the absolute value of $ -263 $ is $ -(-263) $, which simplifies to $ 263 $.

\[ |-263| = 263 \]

Final Answer

$\boxed{263}$

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