Draw the number line and represent - 17 - 5 on it.

Given rational number is - 17 - 5 Here, - 17 - 5 = 17 5 = 3 2 5 = 3 . 4 ∴ - 17 - 5 lies between 3 and 4 on the number line. The unit part between 3 and 4 is divided into 5 equal parts and the second part is marked as 2 5 . Thus, the arrow mark indicates - 17 - 5 = 3 2 5 . Hence, the required number line is as shown below

Draw the number line and represent - 17 - 5 on it.

Given rational number is - 17 - 5 Here, - 17 - 5 = 17 5 = 3 2 5 = 3 . 4 ∴ - 17 - 5 lies between 3 and 4 on the number line. The unit part between 3 and 4 is divided into 5 equal parts and the second part is marked as 2 5 . Thus, the arrow mark indicates - 17 - 5 = 3 2 5 . Hence, the required number line is as shown below

Draw the number line and represent 15 - 4 on it.

Given rational number is 15 - 4 Here, 15 - 4 = - 3 3 4 Thus, - 3 3 4 lies between - 3 and - 4 The unit part between - 3 and - 4 is divided into 4 equal parts and the second part is marked as 3 4 . Thus, the arrow mark indicates 15 - 4 = - 3 3 4 . Hence, the required number line is as shown below

List five rational numbers between - 1 2 and 3 5

Given rational numbers are 1 2 and 3 5 . To find rational numbers between given numbers, first we need to convert them to rational numbers with same denominators. i.e. we need to convert rational numbers with LCM as denominator. LCM of 2 and 5 = 2 × 5 = 10 Thus, - 1 2 = - 1 × 5 2 × 5 = - 5 10 and 3 5 = 3 × 2 5 × 2 = 6 10 So, rational numbers between - 5 10 and 6 10 are the - 4 10 , - 3 10 , - 2 10 - 1 10 , 0 10 , 1 10 , 2 10 , . . Hence, five rational numbers between 1 2 and 3 5 are - 3 10 , - 1 10 , 0 10 , 1 10 , 2 10 , 5 10