Representation of Rational Numbers on Number Line


 
 
Concept Explanation
 

Representation of Rational Numbers on Number Line

Representation on number line depends upon the type of rational fraction is to be represented on the line. But before going to the number line don’t forget to check for the negative and positive sign of the rational number. Positive rational numbers are always represented on the right side of the zero on the number line. While negative rational numbers are always represented on the left side of zero on the number line. 

Example: Represent large frac{3}{4}  on the number line.

Solution: 

Since the given rational number is greater than zero. So, it will always be represented on the right side of zero on the number line. So, first of all we need to divide the number line between zero and one into 4 equal parts and the third part of the four parts will be representation of large frac{3}{4}  on number line. It can be represented as:

Represent 3/4 on the Number Line

Sample Questions
(More Questions for each concept available in Login)
Question : 1

While represent the following numbers on the number line which of the following is the correct statement :

frac{8}{5}   and frac{-8}{5}

 

Right Option : B
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Explanation
Question : 2

Which the following statements are true :

1. The rational number frac{29}{23} lies to the left of zero on the number line.

2. The rational number frac{3}{4} lie to the right of zero on the number line .

 

Right Option : D
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Explanation
Question : 3

Which of the following statement is incorrect :-

1. The rational numbers frac{-21}{5}and frac{7}{-31}are on the opposite side of zero on the number line.

2. The rational number frac{-12}{-5}and frac{-7}{-17} are on the opposite side of zero on the number line.

Right Option : C
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Explanation
 
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