 If you ever feel representing rational numbers on the number line is difficult you will no longer feel the same with our Worksheet on Representation of Rational Numbers on the Number Line. Use the Plotting Rational Numbers on Number Line Worksheet during your practice sessions and learn how to plot rational numbers on number lines.

Questions covered in the Representing Rational Numbers on Number Line include plotting positive, negative rational numbers on the number line. Learn the tips and tricks for representing rational numbers on the number line using our Representing Rational Numbers on the Number Line Worksheets PDF.

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## Plotting Rational Numbers on a Number Line Worksheet Answers

Example 1.
Draw the number line and represent the rational 4/5 on the number line?

Solution:

Given Rational Numbers is 4/5
Since the given number is a proper fraction it lies next to 0 on the right side. Split the number line between 0 and 1 into 5 equal parts and the fourth part is the required fraction. Example 2.
Plot the Mixed Number 4 3/4 on the Number Line?

Solution:

Given Mixed Number is 4 3/4
Mixed Fraction 4 3/4 lies between 4 and 5. Split the number line between 4 and 5 into 4 equal parts and the third part of the division is the required fraction. Example 3.
Represent -3/8 on the Number Line?

Solution:

Given Fraction is -3/8
Since it is a negative fraction it lies on the left side of the number line i.e. 0 and -1. Split the number line between 0 and -1 into 8 equal parts. The third part of the division process is the required fraction. Example 4.
Which of the following statements is true or false?

(i) -4/5 lies to the left of 0 on the number line.
(ii) The rational number 21/18 lies to the left of 0 on the number line.
(iii) -13/4 lies to the right of 0 on the number line.

Solution:

(i) -4/5 lies to the left of 0 on the number line.
Since it is a negative number it lies on the left side of the number line. Thus, the given statement is true.
(ii) The rational number 21/18 lies to the left of 0 on the number line.
Given rational number is 21/18. Since it is a positive rational number it lies to the right side of the number line. Thus, the given statement is false.
(iii) -13/4 lies to the right of 0 on the number line.
Given Rational Number is -13/4. Since it is a negative rational number it lies on the left side of the number line. Thus, the given statement is false.

Example 5.
Between which two numbers does the Rational Number -12/3 lie?

Solution:

Firstly, change the given improper fraction to a mixed fraction
-12/3 = -3 3/3
Thus, the improper fraction -12/3 lies between -3 and -4.

Example 6.
Between which two numbers does the Rational Number 8/5 lie?

Solution:

Firstly, convert the given improper fraction 8/5 to mixed fraction
8/5 = 1 3/5
Therefore, the mixed fraction 8/5 lies between 1 and 2.

Example 7.
Plot the Mixed Fraction -1 5/8 on the Number Line?

Solution:

Given Mixed Fraction -1 5/8
Since it is a negative rational number we will place it on the left side of the number line. 