Question

Find the length of each segment. SEE EXAMPLES 1 AND 2

Answer 1

The lengths of the line segments are summarized in the following list:

1. DF = 3
2. DE = 8 / 3
3. FG = 3
4. FH = 9 / 2
5. GH = 3 / 2
6. EH = - 11 / 6

How to calculate the length of a line segment based on point set on a number line

Herein we have a number line with five points whose locations are known.  The length of each line segment is equal to the arithmetical difference of the coordinates of the rightmost point and the leftmost point:

DF = - 1 - (- 4)

DF = 3

DE = (- 1 - 1 / 3) - (- 4)

DE = 3 - 1 / 3

DE = 8 / 3

FG = 2 - (- 1)

FG = 3

FH = (3 + 1 / 2) - (- 1)

FH = 4 + 1 / 2

FH = 9 / 2

GH = (3 + 1 / 2) - 2

GH = 1 + 1 / 2

GH = 3 / 2

EH = (3 + 1 / 2) + (- 1 - 1 / 3)

EH = - 2 + (1 / 2 - 1 / 3)

EH = - 2 + 1 / 6

EH = - 11 / 6

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