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Find the value of the expression if [tex]$x=12$[/tex].
[tex]\frac{|x|}{x}[/tex]
[tex]\frac{|x|}{x} = \square[/tex] (Type an integer or a simplified fraction.)
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:
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