Question

find the absolute value.
|3.4|
|3.4| = \square
(type an integer or a decimal.)

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 \( a \), \( |a|=a \) because the distance of a non - negative number from 0 is the number itself.
Since \( 3.4 \) is a positive number (non - negative), we use the rule \( |a| = a \) when \( a\geq0 \).

Step2: Apply the rule to \( |3.4| \)

Using the rule for absolute value of a non - negative number, we have \( |3.4|=3.4 \)

Answer:

\( 3.4 \)