Answer:
Please check the explanation.
Explanation:
A number line is a horizontal line with negative values on the left-hand side of an arbitrary number 0 and positive values on the right-hand side of 0.
The location of point A on a number line = -24
The location of point C on a number line = 36
The distance between -24 and 36 can be simply calculated by counting the number of units between.
Starting from -24, we would need to move 24 units on the right side to reach the 0 and 36 units right to reach 36.
So, the total units will be: 24+36 = 60
A second simple method to calculate the distance between point A and point C is:
Distance between A and C = location of C - location of A
= 36 - (-24)
= 36+24
= 60 units
Thus, the distance between A and C is 60 units.
Now, point B is located halfway between point A and point C.
Thus,
- The point B must be 30 units before (30 units on the left side) of the point C.
- In other words, point B must be 30 units after (30 units on the right side) of point A.
i.e.
The location of point B = The location of point C - 30
= 36 - 30
= 6
Thus, point B is located at 6.
Verification:
The location of point B = The location of point A + 30
= -24 + 30
= 6
Thus, point B is located at 6.
Thus, it is verified that point B, halfway between point A and point C.
Hence,
'6' is the value of point B halfway between point A and point C.