In the following number line ,the points c, D, E, F, O, P, Q, R, S are such that CD= DE= EF= FQ and PQ= QR= RS. Write the rational numbers corresponding to the points D,E,F,Q,R
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In the following number line ,the points c, D, E, F, O, P, Q, R, S are such that CD= DE= EF=
Answer:
To determine the rational numbers corresponding to points D, E, F, Q, and R on the number line where CD = DE = EF = FQ and PQ = QR = RS, we can assign values to point O and point P and then calculate the coordinates of the other points accordingly.
Let's say point O corresponds to the rational number 0, and point P corresponds to the rational number 1. Since CD = DE = EF = FQ and PQ = QR = RS, we can evenly divide the intervals:
- Point D corresponds to 1/4 because it's one-fourth of the way from O to P.
- Point E corresponds to 2/4 or 1/2 because it's halfway between D and P.
- Point F corresponds to 3/4 because it's three-fourths of the way from O to P.
- Point Q corresponds to 1/8 because it's one-eighth of the way from D to P.
- Point R corresponds to 3/8 because it's three-eighths of the way from D to P.
So, the rational numbers corresponding to the points are as follows:
- D corresponds to 1/4
- E corresponds to 1/2
- F corresponds to 3/4
- Q corresponds to 1/8
- R corresponds to 3/8