Let's break down the problem step by step:
We need to find the result of the calculation [tex]\( -3 - 8 \)[/tex] and describe the associated motions based on the given directions.
1. Understand the initial value and operations:
- We start at an initial position, let's assume this is 0 for simplicity.
- The first operation is [tex]\( -3 \)[/tex]. This means you move 3 units backward from your starting position.
- The next operation is [tex]\( -8 \)[/tex]. This implies moving another 8 units backward from where you ended up after the first operation.
2. Calculating the final position:
- Starting at position 0.
- Move backward 3 units: initial position ([tex]\(0\)[/tex]) minus 3 gives [tex]\(0 - 3 = -3\)[/tex].
- From [tex]\( -3 \)[/tex], move backward 8 more units: ending position ([tex]\(-3\)[/tex]) minus 8 gives [tex]\( -3 - 8 = -11\)[/tex].
3. Describing the motions accurately based on the result:
- For the first move [tex]\( -3 \)[/tex]: You face left and move backward 3 units.
- For the second move [tex]\( -8 \)[/tex]: You face left again and move backward 8 units.
Thus, the most accurate description for the motions corresponding to the calculation [tex]\( -3 - 8 \)[/tex] is:
(1) Face left, move backward 3
(2) Face left, move backward 8
This matches the final result and accurately describes each step of the movements.
