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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 10

1 answer

To analyze the number line questions, we need to interpret what the number line represents. Unfortunately, without the visual representation of the number line, I can provide some guidance based on common interpretations.

Question 1: Expression modeled by the number line

The options are:

A. \( 6 - 4 - 4 \)
B. \( -6 + 4 - 6 + 4 \)
C. \( -6 + (-4) - 6 + (-4) \)
D. \( -6 - (-4) - 6 - (-4) \)

Typically, a number line where you're moving left (negative) would correspond to a subtraction or addition of negative numbers, while moving right (positive) would indicate addition of positive numbers.

Assuming the number line starts at 0 and moves to -6 and then deals with further additions or subtractions:

  • A would seem to result in a positive value.
  • B, C, and D involve combinations of -6 and -4.
  • C clearly shows the addition of two negatives, so it would get further negative.

If your number line moves from 0 to -6 and then to -4, B and C could represent movements. However, if moving back towards zero, D indicates negating a negative which could also be a valid interpretation.

Without seeing the number line, based on common conventions, I'd recommend B or D depending on whether it's a straightforward negative addition or handling of negatives.

Question 2: Number to be added to reach zero

The options are:

A. -4
B. 4
C. -10
D. 10

To determine what number must be added to a certain value to end up at zero, we would commonly use the principle that the negative of the current number should be added to reach zero.

If we assume the context of the previous question where the last left we were at -6 or negative territory:

  • If at -10, the value needed is 10 (D).
  • If at -6, the value would be 6 (not in the options).

Therefore, if you're ending up at some negative number, and you want to add a number to reach zero, D (10) is likely the answer if you are at -10.

Summary Answers:

  • Question 1: B or D (depending on your number line context)
  • Question 2: D (10)

If you can give more context or details from the number line, I can refine the answers further!