Worksheet on Representation of Rational Numbers on the Number Line

Following points must be kept in the mind to represent the rational numbers on the number line:

1. The numbers on the right side of any number on the number line is greater than that on the left.

2. Any number on the left side of a number on the number line is less than that on the right side.

3. Every positive number is represented on the right side of zero on the number line.

4. Every negative rational number is represented on the left side of zero on the number line.

5. Since, the rational numbers are in ‘p/q’ form so for representation on the number line following steps are followed depending upon the proper and improper rational fractions:

(i) For proper fractions where denominator is greater than numerator, the number line between zero and 1 is divided into ‘q’ number of equal parts and ‘pth’ part of ‘q’ parts is the required rational fraction on the number line.

(ii) For improper fractions, where denominator is less than the numerator, they are first to be converted into mixed fraction form and them the representation is done on the number line.

Now solve some of the problems based on the concept:

1. Represent 3/4 on the number line.

2. Represent 4/5 on the number line.

3. Represent 11/4 on the number line.

4. Represent 7/2 on the number line.

5. Represent -2/3 on the number line.

6. Represent -5/6 on the number line.

7. Represent -9/5 on the number line.

8. Represent -11/3 on the number line.

9. Represent 17/5 on the number line.

10. Represent 9/4 on the number line.

11. Represent -12/5 on the number line.