Represent 1 3 on the number line.

Given, 1 3 Since, 1 3 = 0 . 3333333 . . . . . . . which lies between 0 and 1 . Here, the denominator is 3 , then draw a line and divide the section of 0 to 1 into three equal parts. Hence, the rational number on the number line can be represented as

Arrange the given rational numbers in descending order. - 4 9 , 5 - 12 , - 7 18 , 2 - 3

Given, − 4 9 , 5 - 12 , − 7 18 , 2 - 3 Let us convert the negative denominator to positive. − 4 9 , 5 × - 1 - 12 × - 1 , − 7 18 , 2 × - 1 - 3 × - 1 ⇒ − 4 9 , - 5 12 , − 7 18 , - 2 3 L.C.M of 9,12,18 and 3 is 36 . − 4 × 4 9 × 4 = − 16 36 − 5 × 3 12 × 3 = − 15 36 − 7 × 2 18 × 2 = − 14 36 − 2 × 12 3 × 12 = − 24 36 So, - 14 36 > - 15 36 > - 16 36 > - 24 36 Hence, the descending order is − 7 18 > − 5 12 > − 4 9 > − 2 3 .

Arrange the given rational numbers in descending order. 17 - 30 , 11 - 15 , - 7 10 , 3 5

Given: 17 − 30 , 11 − 15 , − 7 10 , 3 5 Let us convert the negative denominator to positive. 17 × - 1 − 30 × - 1 , 11 × - 1 − 15 × - 1 , − 7 10 , 3 5 ⇒ - 17 30 , - 11 15 , − 7 10 , 3 5 LCM of 30 , 15 , 10 and 5 is 30 . - 17 × 1 30 × 1 = − 17 30 - 11 × 2 15 × 2 = − 22 30 − 7 × 3 10 × 3 = − 21 30 3 × 6 5 × 6 = 18 30 So, 18 30 > - 17 30 > - 21 30 > - 22 30 Hence, the descending order is 3 5 > 17 − 30 > − 7 10 > 11 − 15 .

E M B I B E

MATHEMATICS FOR CLASS 7>Chapter 4 - Rational Numbers>EXERCISE 4B

R S Aggarwal Solutions for Chapter: Rational Numbers, Exercise 2: EXERCISE 4B

Author:R S Aggarwal

R S Aggarwal Mathematics Solutions for Exercise - R S Aggarwal Solutions for Chapter: Rational Numbers, Exercise 2: EXERCISE 4B

Attempt the free practice questions on Chapter 4: Rational Numbers, Exercise 2: EXERCISE 4B with hints and solutions to strengthen your understanding. MATHEMATICS FOR CLASS 7 solutions are prepared by Experienced Embibe Experts.