Given:
We're given a vertical number line
To find:
(A) We need to plot two numbers +8 and -8 on the number line.
(B) The distance of Both points from zero.
(C) The distance between -8 and +8.
(D) Requirement of Absolute value
Step-by-step solution:
(A)
To plot the numbers on the graph we need to find the numbers on the graph and then mark that number.
(B)
The Distance of the point +8 from zero = |+8 - 0| = 8
The Distance of the point -8 from zero = |-8 - 0| = 8
(C)
The Distance between +8 and -8 = |+8 - (-8)| = 16
(D)
We require to use absolute value to find the distance between +8 and -8, because the distance cannot be negative, It is always additive in nature and absolute value provide us positive value as an outcome, Thus we use absolute value in the calculation of distance.