To determine the value of the expression [tex]\(-16 + 12\)[/tex], we need to follow these steps:
1. Identify the terms in the expression: we have [tex]\(-16\)[/tex] and [tex]\(+12\)[/tex].
2. Perform the addition of these two terms.
Starting with the negative number [tex]\(-16\)[/tex], add the positive number [tex]\(12\)[/tex] to it. Essentially, you are moving [tex]\(12\)[/tex] units to the right from [tex]\(-16\)[/tex] on the number line:
- When you move [tex]\(16\)[/tex] units to the right from [tex]\(-16\)[/tex], you reach [tex]\(0\)[/tex].
- Since you only need to move [tex]\(12\)[/tex] units to the right, you will not reach [tex]\(0\)[/tex]; instead, you move [tex]\(16\)[/tex] units to reach [tex]\(0\)[/tex] and then backtrack [tex]\(4\)[/tex].
Thus, the result of [tex]\(-16 + 12\)[/tex] is:
[tex]\[
-16 + 12 = -4
\][/tex]
From the given options, the correct answer is:
[tex]$
-4
$[/tex]
