To find the value of the expression [tex]\(\frac{|x|}{x}\)[/tex] when [tex]\(x = 12\)[/tex], let's go through the calculation step-by-step.
1. Absolute Value Calculation:
- Since [tex]\(x = 12\)[/tex], we need to calculate the absolute value [tex]\(|x|\)[/tex].
- [tex]\(|12|\)[/tex] is simply 12 because the absolute value of a positive number is the number itself.
2. Fraction Calculation:
- Next, we divide the absolute value of [tex]\(x\)[/tex] by [tex]\(x\)[/tex].
- Now we have [tex]\(\frac{|12|}{12} = \frac{12}{12}\)[/tex].
3. Simplify the Fraction:
- [tex]\(\frac{12}{12}\)[/tex] simplifies to [tex]\(1\)[/tex].
Therefore, the value of the expression [tex]\(\frac{|x|}{x}\)[/tex] when [tex]\(x = 12\)[/tex] is:
[tex]\[
\boxed{1}
\][/tex]
