To determine the correct values for points A, B, C, and D on the number line going from -2 to -1 with 5 equal spaces, we first need to divide the interval from -2 to -1 into those 5 equal parts.
The distance between -2 and -1 is 1 unit, and dividing this into 5 equal parts gives us segments of \( \frac{1}{5} \) or 0.2 units.
The points on the number line, starting from -2 to -1, can be calculated as follows:
- Point 1: -2
- Point 2: -2 + \( \frac{1}{5} \) = -1.8 (corresponds to A)
- Point 3: -2 + \( \frac{2}{5} \) = -1.6 (corresponds to B)
- Point 4: -2 + \( \frac{3}{5} \) = -1.4 (corresponds to C)
- Point 5: -2 + \( \frac{4}{5} \) = -1.2 (corresponds to D)
Now we can match the calculated values to the given options:
- A is -1.8 (which is -1 and four-fifths, i.e., -1.8)
- B is -1.6 (which is -1 and three-fifths)
- C is -1.4 (which is -1 and two-fifths)
- D is -1.2 (which is -1 and one-fifth)
So, the correct values for points A, B, C, and D are:
- A = negative 1 and four-fifths
- B = negative 1 and three-fifths
- C = negative 1 and two-fifths
- D = negative 1 and one-fifth
Thus, the correct option is:
A = negative 1 and four-fifths, B = negative 1 and three-fifths, C = negative 1 and two-fifths, D = negative 1 and one-fifth.
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