In which of the number lines does the plotted point represent a number greater than Negative 1 and one-half? Check all that apply.

A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is half-way between negative 2 and negative 1.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is half-way between negative 1 and 0.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is half-way between negative 3 and negative 2.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is at 2.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is at 0.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is 1 mark to the right of negative 3.

1 answer

To determine which plotted points on the number lines represent numbers greater than \(-1.5\) (which is equivalent to \(-\frac{3}{2}\)), let's analyze each described point:

  1. Halfway between -2 and -1:

    • This point is \(-1.5\), which is not greater than \(-1.5\).
  2. Halfway between -1 and 0:

    • This point is \(-0.5\), which is greater than \(-1.5\).
  3. Halfway between -3 and -2:

    • This point is \(-2.5\), which is not greater than \(-1.5\).
  4. At 2:

    • This point is \(2\), which is greater than \(-1.5\).
  5. At 0:

    • This point is \(0\), which is greater than \(-1.5\).
  6. 1 mark to the right of -3:

    • This point is \(-2\), which is not greater than \(-1.5\).

Based on the evaluations, the plotted points that are greater than \(-1.5\) are:

  • Halfway between -1 and 0 (\(-0.5\))
  • At 2
  • At 0

Therefore, the answers are:

  • A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is half-way between negative 1 and 0.
  • A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is at 2.
  • A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is at 0.
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