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

Question

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.

Answer 1

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.