Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points:
(a) If point D is +8, then which point is -8?
(b) Is point G a negative integer or a positive integer?
(c) Write integers for points B and E.
(d) Which point marked on this number line has the least value?
(e) Arrange all the points in decreasing order of their values.
(a) We know that,
If D is +8 then,
-8 will be a mirror image of D from 0 on the number line.
Hence,
According to the given vertical line,
-8 will be the point F on the number line.
(b) We know that,
The numbers that lie on the line above 0 are positive numbers
And,
The numbers that lie on the line below 0 are negative numbers
Now,
Since,
G lie on the line below 0
Hence,
G (-6) is a negative number.
(c) We can observe that,
Point B lies above the point 0
And,
Is at a distance of 4 units from 0
Hence,
The integer for point B is 4
Now,
Point E lies below the point 0
And,
Is at a distance of 10 units from 0
Hence,
The integer for point E is -10
(d) From the given vertical line,
We can observe that,
E has the least value
Because it represents -10
(e) Viewing the given diagram,
We can conclude that,
The points can be arranged in the decreasing order as follows:
D > C > B > A > O > H > G > F > E