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
Answer:
5/3 is answer dear friend
Answer:
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} \: \: unitOQ=43unit,OR=46=23unit,OS=49unit
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} \:43,23,49represented 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}−25
Answer:
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} \: \: unitOQ=43unit,OR=46=23unit,OS=49unit
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} \:43,23,49represented 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}−25
Answer:
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} \: \: unitOQ=43unit,OR=46=23unit,OS=49unit
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} \:43,23,49represented 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}−25