Question

Would someone help me to understand this math. Thank you

LINES & LINE SEGMENTS ASSIGNMENT

Plot the following points on the number line below:

A: -25 B: -17 C: -13
D: -1 E: 4 F: 11
G: 16 H: 23 I: 25



Using the points and number line from the problem above, find each of the following. The first one is done for you.
a) BD = | -17 – (-1) | = | -17 + 1 | = | -16 | = 16
b) AE
c) EF
d) GI
e) CH
f) BG
g) CF
h) AC

Answer 1

16, 29, 7, 9, 36, 33, 24, 12

Explanation:

The distance between two points on a number line is the magnitude of the difference between their coordinates. In general, that means you can subtract the coordinate of the left point from the coordinate of the right point to find the distance.

Here, the points are in alphabetical order on the number line, left-to-right, as are the letters in the segment names. So you subtract the coordinate of the first point of the name from the coordinate of the last point in the name.

This is 8 simple subtraction problems.

a) D - B = -1 -(-17) = 16

b) E - A = 4 -(-25) = 29

c) F - E = 11 -4 = 7

d) I - G = 25 -16 = 9

e) H - C = 23 -(-13) = 36

f) G - B = 16 -(-17) = 33

g) F - C = 11 -(-13) = 24

h) C - A = -13 -(-25) = 12

_____

If you think of it as mileposts on a highway, it should be no surprise that the distance between milepost 4 and milepost 11 is 11 - 4 = 7 miles.