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4. what is the value of the expression shown? |6.28| a. -62.8 b. -6.28 …

Question

  1. what is the value of the expression shown? |6.28| a. -62.8 b. -6.28 c. 6.28 d. 62.8

Explanation:

Step1: Recall absolute value definition

The absolute value of a number \( x \), denoted \( |x| \), is the distance of \( x \) from 0 on the number line. For a non - negative number \( a \), \( |a|=a \), and for a negative number \( -a \) (where \( a>0 \)), \( | - a|=a \).

Step2: Apply the definition to \( |6.28| \)

Since 6.28 is a positive number, by the definition of absolute value, \( |6.28| = 6.28 \).

Answer:

C. 6.28