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


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