A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. The line contains negative 1, A, B, C, 0, D, E, F, 1.

Question

Which statements are correct? Check all that apply.
Point A is plotted at –0.25.
Point B is plotted at Negative one-half.
Point C is an integer.
Point D is a rational number.
Point F is plotted at Three-fourths.

Answer 1

Let's analyze the points plotted on the number line given the increments.

The number line is divided into 4 equal spaces between each integer:

• From -1 to 0: (-1, A, B, C, 0)

  • A is the first increment from -1: -1 + (1/4) = -0.75
  • B is the second increment from -1: -1 + (2/4) = -0.5
  • C is the third increment from -1: -1 + (3/4) = -0.25
  • 0 is the fourth point.

• From 0 to 1: (0, D, E, F, 1)

  • D is the first increment from 0: 0 + (1/4) = 0.25
  • E is the second increment from 0: 0 + (2/4) = 0.5
  • F is the third increment from 0: 0 + (3/4) = 0.75
  • 1 is the fourth point.

Now let's check the statements:

1. Point A is plotted at –0.25.

   • False. Point A is plotted at -0.75.

2. Point B is plotted at Negative one-half.

   • True. Point B is indeed plotted at -0.5.

3. Point C is an integer.

   • False. Point C is plotted at -0.25, which is not an integer.

4. Point D is a rational number.

   • True. Point D is plotted at 0.25, which is a rational number.

5. Point F is plotted at Three-fourths.

   • True. Point F is plotted at 0.75, which is indeed three-fourths.

Therefore, the correct statements are:

• Point B is plotted at Negative one-half.
• Point D is a rational number.
• Point F is plotted at Three-fourths.