The points P, Q, R, S, T, U, A and B on the number line are such that,

TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.

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Solution

Distance between U and T = 1 unit

It is divided into 3 equal parts.

TR = RS = SU =

R =

S =

Similarly,

AB = 1 unit

It is divided into 3 equal parts.

P =

Q =

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The points P, Q R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S

In a number line there are eight points.They are lying on number line such that US = SR = RT and AP = PQ = QB. Find the rational numbers represented by P, Q, R, S. [4 MARKS]