Write four more rational numbers in the following pattern: - 3 5 , - 6 10 , - 9 15 , - 12 20

Given rational numbers are - 3 5 , - 6 10 , - 9 15 , - 12 20 . We have to find out four more rational numbers on the same patterns. We have, - 3 5 , - 6 10 , - 9 15 , - 12 20 or - 3 5 = - 3 × 1 5 × 1 , - 6 10 = - 3 × 2 5 × 2 , - 9 15 = - 3 × 3 5 × 3 , - 12 20 = - 3 × 4 5 × 4 Thus, we observe a pattern in these numbers. The other four rational numbers would be: - 3 × 5 5 × 5 = - 15 25 , - 3 × 6 5 × 6 = - 18 30 , - 3 × 7 5 × 7 = - 21 35 , - 3 × 8 5 × 8 = - 24 40 . Therefore, the rational numbers are - 15 25 , - 18 30 , - 21 35 , - 24 40 .

Write four more rational numbers in the following pattern: - 1 6 , 2 - 12 , 3 - 18 , 4 - 24

Given rational numbers are - 1 6 , 2 - 12 , 3 - 18 , 4 - 24 . We have to find out four more rational numbers on the same pattern. We have, - 1 6 , 2 - 12 , 3 - 18 , 4 - 24 or - 1 6 = - 1 × ( - 1 ) 6 × ( - 1 ) , 2 - 12 = 1 × ( - 2 ) 6 × ( - 2 ) , 3 - 18 = 1 × ( - 3 ) 6 × ( - 3 ) , 4 - 24 = 1 × ( - 4 ) 6 × ( - 4 ) . Thus, we observe a pattern in these numbers. The other four rational numbers would be: - 1 × ( - 5 ) 6 × ( - 5 ) = 5 - 30 , - 1 × ( - 6 ) 6 × ( - 6 ) = 6 - 36 , 1 × ( - 7 ) 6 × ( - 7 ) = 7 - 42 , 1 × ( - 8 ) 6 × ( - 8 ) = 8 - 48 . Therefore, the rational numbers are 5 - 30 , 6 - 36 , 7 - 42 , 8 - 48 .

Give four rational numbers equivalent to - 2 7 .

Given rational number is - 2 7 . We can get equivalent rational numbers by multiplying the numerator and denominator by the same integer number. So, other four rational numbers, equivalent to given rational numbers are: - 2 × 2 7 × 2 = - 4 14 - 2 × 3 7 × 3 = - 6 21 - 2 × 4 7 × 4 = - 8 28 - 2 × 5 7 × 5 = - 10 35 Therefore, four equivalent rational numbers are - 4 14 , - 6 21 , - 8 28 , - 10 35 .

Give four rational numbers equivalent to: 5 - 3

Given rational number is - 5 3 . We have to find four equivalent rational numbers of - 5 3 . We know, 5 - 3 = 5 × 1 - 3 × 1 Multiply numerator and denominator by the same number, to get equivalent numbers: 5 × 2 - 3 × 2 = - 10 6 5 × 3 - 3 × 3 = - 15 9 5 × 4 - 3 × 4 = - 20 12 5 × 5 - 3 × 5 = - 25 15 Therefore, four equivalent rational numbers are - 10 6 , - 15 9 , - 20 12 , - 25 15 .

Give four rational numbers equivalent to 4 9 .

Given rational number is 4 9 . We have to find four equivalent rational numbers of 4 9 . Multiply denominator and numerator by same number to get equivalent numbers. So, other four rational numbers equivalent to given numbers are, 4 × 2 9 × 2 = 8 18 ; 4 × 3 9 × 3 = 12 27 ; 4 × 4 9 × 4 = 16 36 ; 4 × 5 9 × 5 = 20 45 Therefore, four equivalent rational numbers are 8 18 , 12 27 , 16 36 , 20 45 .

E M B I B E

Mathematics : Class VII>Chapter 9 - Rational Numbers>EXERCISE 9.1

EXERCISE 9.1

Author:Jharkhand Board

Jharkhand Board Mathematics Solutions for EXERCISE 9.1

Simple step-by-step solutions to EXERCISE 9.1 questions of Rational Numbers from Mathematics : Class VII. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.