Represent 1 3 on the number line.

We need to represent 1 3 on the number line. We know that, 1 3 is greater than 0 and less than 1 . ⇒ 0 < 1 3 < 1 So, we need to make two divisions between 0 and 1 . And mark the numbers on the number line as 0 , 1 3 , 2 3 , 1 . The required number line is shown below.

Represent 2 7 on the number line.

We need to represent 2 7 on the number line. Draw a line. Take a point O on it. Let it represents 0 (zero). Set off unit lengths O A and O A ' to the right and to the left of O respectively. Then, A represents the integer 1 and A ' represents the integer - 1 . Now, divide O A into 7 equal parts. Let O P be the second part out of these seven parts. Then, the point P represents the rational number 2 7

Represent 1 3 4 on the number line.

We need to represent 1 3 4 on the number line. Draw a line. Take a point O on it. Let it represents 0 (zero). From O , set off unit distances O A and A B to the right of O . Clearly, the points A and B represent integers 1 and 2 respectively. Now, divide A B into 4 equal parts. Take 3 parts out of these 4 parts to reach at a point P . Then, the point P represents the rational number 1 3 4

Represent 2 2 5 numbers on the number line.

We need to represent 2 2 5 on the number line. Draw a line. Take a point O on it. Let it represents 0 (zero). From O , set off unit distances O A , A B and B C to the right of O . Clearly, the points A , B and C represent integers 1 , 2 and 3 respectively. Now, divide B C into 5 equal parts. Take 2 parts out of these 5 parts to reach at a point P . Then, the point P represents the rational number 2 2 5

Represent 3 1 2 on the number line.

We need to represent 3 1 2 on the number line. Draw a line. Take a point O on it. Let it represents 0 (zero). From O , set off unit distances O A , A B , B C and C D to the right of O . Clearly, the points A , B , C and D represent integers 1 , 2 , 3 and 4 respectively. Now, divide C D into 2 equal parts. Let O P be the first part out of these two parts. Then, the point P represents the rational number 3 1 2

Represent 5 5 7 on the number line.

We need to represent 5 5 7 on the number line. Draw a line. Take a point O on it. Let it represents 0 (zero). From O , set off unit distances O A , A B , B C , C D , D E and E F to the right of O . Clearly, the points A , B , C , D , E and F represent integers 1 , 2 , 3 , 4 , 5 and 6 respectively. Now, divide E F into 7 equal parts. Take 5 parts out of these 7 parts to reach at a point P . Then, the point P represents the rational number 5 5 7

Represent 4 2 3 on the number line.

We need to represent 4 2 3 on the number line. Draw a line. Take a point O on it. Let it represents 0 (zero). From O , set off unit distances O A , A B , B C , C D and D E to the right of O . Clearly, the points A , B , C , D and E represent integers 1 , 2 , 3 , 4 and 5 respectively. Now, divide D E into 3 equal parts. Take 2 parts out of these 3 parts to reach at a point P . Then, the point P represents the rational number 4 2 3