Math, asked by aditigarg01242, 7 months ago

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

Answered by asritadevi2344
9
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Answered by pulakmath007
23

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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

 \displaystyle \: OQ =  \frac{3}{4}  \: unit, OR =  \frac{6}{4} =  \frac{3}{2}  \: unit \:  , OS \:  =  \frac{9}{4}  \:  \: unit

Since Q, R, S are the points on the right side of the origin

Hence

The rational numbers  \displaystyle \: \frac{3}{4}  \:,  \frac{3}{2}   \:   \:,  \frac{9}{4}  \: 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  \displaystyle \:  - \frac{5}{2}

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