Question

How to represent rational no on a no line .Explain with a example

Answer 1

Basic rules on representing rational no. on number line 
1) If the rational no.(fraction) is proper then, it lie between 0 and 1.
2) If the rational no.(fraction) is improper then, first convert it to mixed fraction and then the given rational no. lie between the whole number and next whole number.
Use the following steps to represent 4 / 7 on the number line. 

1) Draw a number line.



2) As the number 4 /7 is a positive number so it will be on right side of zero.

3) So after zero mark, 1/ 7 , 2 /7 , 3 / 7, 4 / 7, 5/ 7 , 6/ 7 , ( 7 / 7 = 1). 

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 Example : 

Represent -5 / 3 on the number line.

Solution: 

1) Draw a number line.


2) As the number – 5 / 3 is a negative number so it will be on left of zero. -5/3 can be written in mixed fraction as -1 2/3. So the number lie between -1 and -2.

3) So left side of zero mark, -1 / 3 , - 2 / 3 , ( -3 /3 = -1) , -4 /3 , -5 / 3, 
( -6 / 3 = -2 )


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3) Between which two numbers 7/3 lie.

Solution : 
1) If the given rational no. is in improper form then convert it to mixed fraction.
7/3 = 2 ⅓ 
The whole number is 2 so the given rational no. lie between 2 and 3.
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2) Between which two numbers -13/3 lie.

Solution :If the given rational no. is in improper form then convert it to mixed fraction.
-13/3 = -4 ⅓ 
The whole number is -4 so the given rational no. lie between -4 and -5.

Answer 2

HI FRIEND ,
 <>  if the rational number is in proper fraction it lies between 0 and 1    
 <> if the rational number is in impoper fraction first convert it into mixed fraction then  it lies between a whole number and other whole number
example : 7/3 
7/3 is a improper fraction convert it into mixed fraction
7/3 = 2 1/3
in 2 1/3 2 is the whole number the number lies between 2 and 3 
STEPS TO REPRESENT ON NUMBER LINE :

<> Draw a line . represent the numbers .

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0             1            2       1/3    2/3   3     4/3     5/3  6/3    7/3    8/3

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