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