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what is \\left|8 \\frac{1}{3}\ ight|?\ -7\ 8 \\frac{1}{3}\ 1\ -9

Question

what is \left|8 \frac{1}{3}\
ight|?\
-7\
8 \frac{1}{3}\
1\
-9

Explanation:

Step1: Recall the absolute value rule

The absolute value of a number \(|x|\) is the distance of \(x\) from zero on the number line, and for a non - negative number \(x\), \(|x|=x\).

Step2: Analyze the number \(8\frac{1}{3}\)

The number \(8\frac{1}{3}\) is a positive number (since \(8\frac{1}{3}= \frac{25}{3}>0\)).
According to the absolute value rule, if \(x = 8\frac{1}{3}>0\), then \(|x|=x\). So \(|8\frac{1}{3}| = 8\frac{1}{3}\).

Answer:

\(8\frac{1}{3}\) (the option with \(8\frac{1}{3}\))