$$ 1 \leftarrow \begin{array}{r} ext { Simplify. } \ |-3|\end{array} $$

Question

$$ 1 \leftarrow \begin{array}{r}	ext { Simplify. } \ |-3|\end{array} $$

UpStudy AI · Accepted Answer

To simplify $$|-3|$$, we evaluate the absolute value of $$-3$$.

**Absolute Value Definition:**
The absolute value of a number represents its distance from zero on the number line, regardless of direction. In mathematical terms:
$$
|a| =
\begin{cases}
a & \text{if } a \geq 0, \
-a & \text{if } a < 0.
\end{cases}
$$

**Applying to $$|-3|$$:**
Since $$-3$$ is less than $$0$$, we take the negative of $$-3$$:
$$
|-3| = -(-3) = 3
$$

**Final Answer:**
$$
|-3| = 3
$$
$$ |-3| = 3 $$

\( 1 \leftarrow \begin{array}{r}\text { Simplify. } \\ |-3|\end{array} \)

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