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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

Let O, P and Z represent the numbers 0, 3 and -5 respectively on the number line. Points Q, R and S are between O and P such that OQ = QR = RS= SP. What are the rational numbers represented by the points Q, R and S. Next choose a point T between Z and O so that ZT = TO. Which rational number does T represent

Solution:

Let O, P and Z represent the numbers 0, 3 and -5 respectively on the number line. Points Q, R and S are between O and P such that OQ = QR = RS= SP. What are the rational numbers represented by the points Q, R and S. Next choose a point T between Z and O so that ZT = TO. Which rational number does T represent

Given O,P,Z are three points on number line

As OQ = QR = RS = SP

So we can take OQ + QR + RS + SP = OP

Therefore Q, R and S divide OP into four equal parts.

So,R is the midpoint of OP, i.e.O + P/2 = R

Q is the mid-point of OR, i.e. O + R/2 = Q

and S is the mid-point of RP, i.e.R + P/2 = S

Also ZT = TO

Hence, T is the midpoint of O and Z

Point O is at 0 and point Z is at -5

So, the midpoint is computed as (-5 + 0)/2

Therefore, T is -5/2

✦ Try This: Let O, P and Z represent the numbers 1, 4 and -6 respectively on the number line. Points Q, R and S are between O and P such that OQ = QR = RS = SP. What are the rational numbers represented by the points Q, R and S. Next choose a point T between Z and O so that ZT = TO. Which rational number does T represent?

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Sample Problem 10

Let O, P and Z represent the numbers 0, 3 and -5 respectively on the number line. Points Q, R and S are between O and P such that OQ = QR = RS= SP. What are the rational numbers represented by the points Q, R and S. Next choose a point T between Z and O so that ZT = TO. Which rational number does T represent

Summary:

Let O, P and Z represent the numbers 0, 3 and -5 respectively on the number line. Points Q, R and S are between O and P such that OQ = QR = RS = SP. What are the rational numbers represented by the points Q, R and S. Next choose a point T between Z and O so that ZT = TO. Therefore, the point T is -5/2

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