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.

Solution:

We use the concept of the number line, which represents the real numbers in increasing order from left to right. 

Distance between U and T = 1 unit.

It is divided into three equal parts.

TR = RS = SU = 1/3

R = -1 - (1/3) = -4/3

S = -1 - (2/3) = -5/3

Similarly, AB = 1 unit

It is divided into three equal parts:

AP = PQ = QB = 1/3

P = 2 + 1/3 = 6/3 + 1/3 = 7/3

Q = 2 + 2/3 = 6/3 + 2/3 = 8/3

☛ Check: NCERT Solutions for Class 7 Maths Chapter 9

Video Solution:

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.

Class 7 Maths NCERT Solutions Chapter 9 Exercise 9.1 Question 5

Summary:

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. Thus, the rational numbers represented by P, Q, R and S are 7/3, 8/3, - 4/3 and -5/3

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