QuestionFind the absolute value of 6.43, represented as $|6.43|$ .

Studdy Solution

STEP 1

Assumptions1. We are given a number,6.43, inside absolute value bars. . The absolute value of a number is its distance from zero on the number line, regardless of direction.

STEP 2

The absolute value of a number is always non-negative. If the number is positive, its absolute value is the number itself. If the number is negative, its absolute value is the opposite of the number.
$|a| =\begin{cases}a & \text{if } a \geq0 \\ -a & \text{if } a <0\end{cases}$

STEP 3

Now, plug in the given value into the absolute value formula. Since6.43 is a positive number, its absolute value is the number itself.
$|6.43| =6.43$ So, the absolute value of6.43 is6.43.

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