LAt O, P and Z represent the numbers 0, 3 and -5 respectively on the number line.
Points Q, R and S are between 0 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 0 so that ZT = TO.
Which rational number does T represent?
5/3 is answer how it is answer
Answers
CONCEPT
On the real line R the origin is denoted by O and it represents the point 0
Now the point on the left side of the origin is negative and the point on the right side of the origin is positive
GIVEN
O, P and Z represent the numbers 0, 3 and -5 respectively on the number line. Points Q, R and S are between 0 and P such that OQ = QR = RS = SP
Point T between Z and 0 so that ZT = TO
TO DETERMINE
1. The rational numbers represented by the points Q, R and S
2. The rational number represented by T
EVALUATION
A real line is drawn by the given conditions ( Refer to the attachment)
QUESTION : 1
Here OQ = QR = RS = SP
So the distance between O & P are divided into Four parts
So
Since Q, R, S are the points on the right side of the origin
Hence
The rational numbers represented by the points Q, R and S respectively
QUESTION : 2
The distance between O & Z is 5 unit
Now choose a point T between Z and 0 so that ZT = TO
So T is the middle point of ZO
Since T is a point left of the origin
SO T represents the rational number