Question

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.
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.