Question

Which gives the correct values for points A, B, C, and D?

A number line going from negative 1 to 0. There are 5 equal spaces between the numbers. The line contains negative 1, C, D, A, B, 0.
A = negative one-fifth, B = negative two-fifths, C = negative three-fifths, D = negative four-fifths
A = negative one-fifth, B = negative two-fifths, C = negative four-fifths, D = negative three-fifths
A = negative four-fifths, B = negative three-fifths, C = Negative two-fifths, D = negative one-fifth
A = negative two-fifths, B = negative one-fifth, C = negative four-fifths, D = negative three-fifths

Answers

GPT-4o mini
To determine the correct values for points A, B, C, and D on the number line from -1 to 0 with 5 equal divisions, we first find out the increment between each point.

The range from -1 to 0 is 1 unit, and dividing this into 5 equal spaces gives us increments of:

\[
\text{Increment} = \frac{0 - (-1)}{5} = \frac{1}{5} = 0.2
\]

The points on the number line would then be:

1. Starting point (negative 1): -1
2. First point (A): -1 + 0.2 = -0.8 or -4/5
3. Second point (B): -1 + 2(0.2) = -0.6 or -3/5
4. Third point (C): -1 + 3(0.2) = -0.4 or -2/5
5. Fourth point (D): -1 + 4(0.2) = -0.2 or -1/5
6. End point (0): -1 + 5(0.2) = 0

Now, let's assign the values based on their order on the number line from -1 to 0:

- A = -4/5 (or -0.8)
- B = -3/5 (or -0.6)
- C = -2/5 (or -0.4)
- D = -1/5 (or -0.2)

So the values we assign are:
- A = negative four-fifths
- B = negative three-fifths
- C = negative two-fifths
- D = negative one-fifth

Now, let's find the matching choice among the ones you provided:

The correct values match with:
**A = negative four-fifths, B = negative three-fifths, C = negative two-fifths, D = negative one-fifth**

This matches with the third option. Therefore, the correct answer is:

A = negative four-fifths, B = negative three-fifths, C = negative two-fifths, D = negative one-fifth.