Mark the following number on number line. 3 5

Given, 3 5 We know that, 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. Now, 3 5 is a positive rational number, and it is known that 3 5 is less than 1 and greater than 0 . Therefore, 3 5 lies between 0 and 1 on the number line. Here, the denominator is 5 so we will divide each unit length into 5 subunits between 0 and 1 and take first 3 parts from 0 as shown below.

Mark the following number on number line. - 5 8

Given, - 5 8 We know that, 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. Now, - 5 8 is a negative rational number. Since, - 5 8 is a proper fraction it lies between - 1 and 0 on the number line. Here, the denominator is 8 so we will divide each unit length into 8 subunits between - 1 and 0 and take first 5 parts from 0 as shown below.

Mark the following number on number line. 17 9

Given, 17 9 We know that, 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. Now, 17 9 is a positive rational number. For marking the improper fraction follow the following steps. An improper fraction is a fraction that's greater than 1 , these fractions will have a larger number up top than on the bottom. a) First convert the fraction into mixed fraction. 17 9 = 1 8 9 b) Looking at the number in the front, we know our fraction is bigger than 1 . So, it will be between 1 and 2 . Break up the space in between 1 and 2 into 9 equally sized spaces. c) Mark the 8 t h division from 1 . Hence, this will be the required diagram.

Mark the following number on number line. - 15 11

Given, - 15 11 We know that, 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. Now, - 15 11 is a negative rational number. For marking the improper fraction follow the following steps. An improper fraction is a fraction that's greater than 1 , these fractions will have a larger number up top than on the bottom. a) First convert the fraction into mixed fraction. - 15 11 = - 1 4 11 b) Looking at the number in the front, the fraction will be between - 1 and - 2 . Break up the space in between - 1 and - 2 into 11 equally sized spaces. c) Mark the 4 t h division from - 1 . Hence, this will be the required diagram.

E M B I B E

Mathematics Class - VII>Chapter 2 - Rational Numbers>Exercise 7

Chhattisgarh Board Solutions for Chapter: Rational Numbers, Exercise 7: Exercise 7

Author:Chhattisgarh Board

Chhattisgarh Board Mathematics Solutions for Exercise - Chhattisgarh Board Solutions for Chapter: Rational Numbers, Exercise 7: Exercise 7

Attempt the practice questions on Chapter 2: Rational Numbers, Exercise 7: Exercise 7 with hints and solutions to strengthen your understanding. Mathematics Class - VII solutions are prepared by Experienced Embibe Experts.