1. |-6.35| 2. -|5| 3. -|-2| give the value for each.

Explanation:

Step1: Recall absolute - value definition

The absolute value of a number (a), denoted as (|a|), is the non - negative value of (a). That is, if (a\geq0), (|a| = a); if (a\lt0), (|a|=-a).

Step2: Solve for (|-6.35|)

Since (-6.35\lt0), by the definition of absolute value, (|-6.35| = 6.35). Then (1. |-6.35|=6.35).

Step3: Solve for (-|5|)

First, find (|5|). Since (5\geq0), (|5| = 5). Then (-|5|=-5). So (2. -|5|=-5).

Step4: Solve for (-|-2|)

First, find (|-2|). Since (-2\lt0), (|-2| = 2). Then (-|-2|=-2). So (3. -|-2|=-2).

Answer:

1. (6.35)
2. (-5)
3. (-2)