4(-2) is modeled on the number line.
Step-by-step explanation:
Step 1:
The multiplication problem's answer is -8, so first, we need to determine which options actually equal the answer.
We individually determine how much each of the options equal.
Step 2:
[tex]2(-4)= -8[/tex], option 1 equals -8, so it could be the answer.
[tex]4(2)=8,[/tex] option 2 does not equal -8, so it cannot be the answer.
[tex]2(4)=8,[/tex] option 3 also does not equal -8, so it cannot be the answer.
[tex]4(-2)= -8,[/tex] option 4 does, so it could be the answer.
Step 3:
In the number line, 4 arrows are equalling -2 every time. So the answer is option 4. [tex]4(-2)[/tex].
