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Question

Represent the following rational numbers on the number line:

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Solution

To represent the rational number, we first draw a number line and fix 0 on the line.

Now, we consider a line segment PQ from −8 to 0 and then divide PQ into 5 equal parts such that PA = AB = BC = CD = DQ. Thus, point D represents the rational number.

To represent the rational number, we first draw a number line and fix 0 on the line.

Now, we consider a line segment PQ from 0 to 3 and then divide PQ into 8 equal parts such that PA = AB = BC = CD = DE = EF = FG = GQ. Thus, point C represents the rational number.

To represent the rational number, we first draw a number line and fix 0 on the line.

Now, we consider a line segment PQ from 0 to 2 and then divide PQ into 7 equal parts such that PA = AB = BC = CD = DE = EF = FQ. Thus, point B represents the rational number.

To represent the rational number, we first draw a number line and fix 0 on the line.

Now, we consider a line segment PQ from 0 to 12 and then divide PQ into 5 equal parts such that PA = AB = BC = CD = DQ. Thus, point A represents the rational number.

To represent the rational number, we first draw a number line and fix 0 on the line.

Now, we consider a line segment PQ from 0 to 45 and then divide PQ into 13 equal parts such that PA = AB = BC = CD = … = KJ = JQ. Thus, point A represents the rational number.


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