Question

3. Represent = -7/4
on number line.​

Answer 1

Answer:

In order to represent 53−53

Now we find the points X and X' on the number line representing the positive integers 5 and -5 respectively as shown in the below figure.

Now divide the segment OX into three equal parts. Let A and B be the points of division so that OA = AB = BX. By construction, OA is one-third of OX.

Therefore, A represents the rational number 53

Point X' represents -5 on the number line. Now, divide OX' into three equal parts OA', CB' and B'X'. The point A' is such that OA' is one third of OX'. Since X' represents the number -5.

Therefore, A' represents the rational number −53