Sebastian was in a hotel lobby and took the elevator up 8 floors to his room. Then he took the elevator down 5 floors to the parking garage. He described his movement with the expression below.

Question

5+(−8)



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(1 point)
Responses

Sebastian should have switched the two addends and written −8+5
.
Sebastian should have switched the two addends and written negative 8 plus 5.

Sebastian should have used 0 and –8.
Sebastian should have used 0 and –8.

Sebastian should have used –5 and 8.
Sebastian should have used –5 and 8.

Sebastian should have started at zero before adding –8.
Sebastian should have started at zero before adding –8.

Answer 1

To analyze Sebastian's situation, let's break it down step by step regarding his movements:

1. He starts at a certain floor, which we can consider as zero for simplicity.
2. He moves up 8 floors to his hotel room. This can be represented as +8.
3. He then moves down 5 floors to the parking garage. This can be represented as -5.

If we combine these movements, we can express the overall change in floors with the equation:

Starting point (0) + movement up (8) + movement down (-5) = 0 + 8 - 5 = 3

His final position is at floor 3.

Now, looking at the expression \(5 + (-8)\):

• This expression suggests he is starting from floor 5 and moving down 8 floors, which is incorrect based on his described movements.

Therefore, the correct way to express his movements while keeping track of his starting point from zero and considering his movements is to write \(0 + 8 + (-5)\), or even \(8 + (-5)\).

Among the given responses, the most appropriate one is:

• "Sebastian should have started at zero before adding –8."

This highlights that the starting point was not accurately reflected in the given expression.

Answer 2

WRONG

Answer 3

I apologize for the misunderstanding. Let's clarify Sebastian's movement step-by-step more carefully:

1. Starting Point: We can consider his initial position to be 0 (the ground floor).
2. Up 8 Floors: When he goes up 8 floors, this can be represented as \(+8\).
3. Down 5 Floors: When he goes down 5 floors, this can be represented as \(-5\).

Thus, the correct way to represent his movement is by starting at zero and performing the two operations sequentially:

• He first goes from 0 to +8 (the hotel room).
• Then, he goes from +8 down 5 floors, which can be represented as \(8 + (-5)\).

Therefore, the expression should be \(8 + (-5)\), or starting from zero, it can also be expressed as \(0 + 8 + (-5)\).

Sebastian's original expression, \(5 + (-8)\), is incorrect because it suggests starting at floor 5, then moving down 8 floors, which does not accurately describe his journey.

To address the responses, the most appropriate option would be:

Sebastian should have switched the two addends and written negative 8 plus 5.

This option reflects the idea that to accurately describe his movement, the values should be rearranged correctly to reflect his actual journey.

Sorry for any confusion, and I hope this clears it up!

Answer 4

wrong..

Answer 5

I apologize for the confusion in my previous responses. Let’s break down the problem accurately.

1. Original Interpretation of Movements:
   • He takes the elevator up 8 floors. This can be represented as \( +8 \).
   • Then he takes the elevator down 5 floors. This can be represented as \( -5 \).

So, if we represent his overall movement starting from a hypothetical starting point (let's say floor 0), the equation representing his movement should ultimately consider the net effect of these two actions.

2. Correct Movement Representation:

   • Starting from 0: \( 0 + 8 - 5 \).
   • This simplifies to \( 8 - 5 = 3 \), meaning he is on the 3rd floor after both movements.

3. Evaluating the Given Expression:

   • The expression given by Sebastian was \( 5 + (-8) \). This is not accurately representing his movements since it suggests he is starting from the 5th floor and then moving down to the negative eighth floor, which is incorrect.

Now, let’s evaluate the options based on what he should have done:

1. Switching the Addends: "Sebastian should have switched the two addends and written −8 + 5."
2. Using Zero: "Sebastian should have used 0 and –8."
3. Using –5 and 8: "Sebastian should have used -5 and 8."
4. Starting at Zero: "Sebastian should have started at zero before adding –8."

Given this clarity, the correct conclusion to make from the options provided is that:

"Sebastian should have started at zero before adding –8.”

This option correctly indicates that the initial movement should start from a baseline (like floor 0) and not assume a starting point that misrepresents his movements.

Thank you for your patience, and I regret the confusion in my earlier responses!