Sure, let's tackle this step-by-step with a clear breakdown of what each part represents, based on the given information.
Given:
(a) [tex]\(-3 + 2 - \ldots = -8\)[/tex]
(b) [tex]\(4 - 2 + \ldots = 8\)[/tex]
First, let's interpret what part (a) tells us:
- Negative integers (e.g., -3) represent steps moved down.
- Positive integers (e.g., +2) represent steps moved up.
- The final result [tex]\(-8\)[/tex] indicates that overall, there was a descent of 8 steps.
Now, let's move on to part (b):
- Here we see the expression [tex]\(4 - 2 + \ldots\)[/tex].
- The final result [tex]\(8\)[/tex] indicates that there was a net increase of 8 steps.
Given the question asks about the sum [tex]\((b)\)[/tex] where the sum equals 8, we need to interpret this result:
- The positive net result of 8 in part (b) represents an overall ascent, moving up by eight steps.
Thus, the sum of [tex]\(8\)[/tex] in part (b) represents going up by eight steps. This means that despite moving a combination of up and down steps, the total net movement resulted in moving upward by 8 steps.
