Question

simplify: \\(|-2|\\)
-2
0
2

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. Distance is non - negative, so for a negative number \( a\) (where \( a<0\)), \( |a|=-a\).

Step2: Apply the definition to \( | - 2|\)

Here, \( a=-2\) which is negative. Using the formula \( |a|=-a\) when \( a < 0\), we substitute \( a=-2\) into the formula. So \( |-2|=-(-2)\).

Step3: Simplify the expression

Simplifying \( -(-2) \), we know that the negative of a negative number is a positive number. So \( -(-2) = 2\).

Answer:

2 (corresponding to the option with 2)