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In the number line below, which of the points shown are located at a value that is greater than zero? Select all that apply.

Letters A through F on a number line. Letter A is halfway between 2 and 3. Letter B is at 4. Letter C is halfway between negative 2 and negative 1. Letter D is halfway between negative 3 and negative 2. Letter E is at negative 5. Letter F is halfway between 0 and 1.

1 answer

To determine which points are greater than zero, let's evaluate the positions of each point:

  • Point A: Halfway between 2 and 3 = \( \frac{2 + 3}{2} = 2.5 \) (greater than zero)
  • Point B: At 4 (greater than zero)
  • Point C: Halfway between -2 and -1 = \( \frac{-2 + (-1)}{2} = -1.5 \) (not greater than zero)
  • Point D: Halfway between -3 and -2 = \( \frac{-3 + (-2)}{2} = -2.5 \) (not greater than zero)
  • Point E: At -5 (not greater than zero)
  • Point F: Halfway between 0 and 1 = \( \frac{0 + 1}{2} = 0.5 \) (greater than zero)

Therefore, the points greater than zero are A, B, and F.