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Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points :
(a) If point D is $+ 8$
To do:
We have to observe and locate the given points.
Solution:
(a) Point $D$ is $+8$ and point $O$ is $0$.
This implies,
The opposite direction is negative.
Point $F$ is 8 units below $O$.
Therefore,
Point $F$ is $-8$.
(b) Point $D$ is $+8$ and point $O$ is $0$.
This implies,
The opposite direction is negative.
Point $G$ is 6 units below $O$.
Therefore,
Point $G$ is a negative integer.
(c) Point $D$ is $+8$ and point $O$ is $0$.
This implies,
The opposite direction is negative.
Point $B$ is 4 units above $O$.
Point $E$ is 10 units below $O$.
Therefore,
Point $B$ is $+4$ and point $E$ is $-10$.
(d) Point $D$ is $+8$ and point $O$ is $0$.
This implies,
The opposite direction is negative.
Point $E$ is 10 units below $O$.
Therefore, the least value on the number line is point $E$ and it represents $-10$.
(e) Point $D$ is $+8$ and point $O$ is $0$.
This implies,
The points above $O$ are positive and the points below $O$ are negative.
Therefore, the points in decreasing order of value are $D, C, B, A, O, H, G, F, E$.