Question

Which expression is modeled by the number line?
Responses
A 6 − 46 − 4
B −6 + 4−6 + 4
C −6 + (−4)−6 + (−4)
D −6 − (−4)−6 − (−4)
Question 2
What number must be added next to end up at zero?
Responses
A -4-4
B 44
C -10-10
D 1010
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Answer 1

1: C.
2: D.
those are correct?

Answer 2

To determine which expression is modeled by the number line and what number must be added to reach zero, let's analyze the options:

### Question 1: Which expression is modeled by the number line?

To choose the correct expression, we need to understand how the number line might represent certain operations. If the number line shows a sequence of movements, we can interpret that as additions or subtractions of certain values.

If we assume the number line begins at -6 and represents various movements to the left (subtraction) or right (addition), let's analyze the options:

- A: \( 6 - 4 - 6 \) does not logically represent movements starting from -6.
- B: \( -6 + 4 - 6 + 4 \) seems inconsistent as it adds and subtracts multiple times.
- C: \( -6 + (-4) \) implies moving left (negative) which could match if starting at -6.
- D: \( -6 - (-4) \) seems to suggest moving right since subtracting a negative is equivalent to addition.

Assuming you are moving left from -6 to subtract values, C seems more fitting, but without seeing the actual number line, it's difficult to confirm.

### Question 2: What number must be added next to end up at zero?

To find what number must be added to get from a starting point to zero, we need to look at possibilities for different negative values:

Let's assume you were currently at -10:
- Adding 10 would get you back to 0.
- \( -6 \) would not work since it would move further left.
- \( 4 \) would add to -10, making it -6, but not reach zero.
- \( -4 \) would also not work.

If you're at -10, adding **10** would indeed bring you to zero.

So, the better fit among your responses appears to be:

**Question 1:** Likely C or D depending on the number line depiction.

**Question 2:** B \(10\) (the number that must be added to get to zero).

To summarize:
- For Question 1, the best choice with the information provided could be C.
- For Question 2, the correct answer is likely B (10).

Answer 3

Thank you for providing your answers. Let's review them:

### Question 1: Which expression is modeled by the number line?
You selected:
**C: \(-6 + (-4)\)**

This means you are starting at \(-6\) and moving \(-4\) more, which would give you \(-10\), consistent with the movement to the left on a number line. Given common interpretations, this is a reasonable choice, assuming the number line shows a movement down to a more negative location.

### Question 2: What number must be added next to end up at zero?
You selected:
**D: \(10\)**

If you are at \(-10\), you would indeed need to add \(10\) to reach \(0\).

So, based on the analyses of both questions:
- **1: C** (which models correctly moving left from -6).
- **2: D** (which is correct to reach 0 from -10).

Both your answers **C** for Question 1 and **D** for Question 2 appear to be correct. Well done!