ML Aggarwal Class 8 Chapter 1 Rational Numbers Exercise 1.4

Exercise 1.4

Question 1

Sol :

(i) 37÷4

=37÷41

=37×14

=3×17×4

=328


(ii)  458÷(49)

=378÷(49)

=378×(94)

=37×98×(4)

=33332

=101332


(iii) 89÷35

=89×53

=8×59x3

=4027

=4027=11327
 

Question 2

Sol :
(i) true 

(ii) false 

(iii) false 

(iv) true 

(v) true 

(vi)false     


Question 3

Sol :
Let unknown number be x

x×249=1112

x×229=1112

x=1112229

1112×922

x=38

Other number =38


Question 4

Sol :
Let unknown number be x

x×(712)=514

x=514÷(712)

=514×127

=5×1214×(7)

=6098

=3049


Question 5

Sol :

Let unknown number be x 

3x=913

x=31÷(913)

=31×139

x=133=413


Question 6

Sol :

Sum of number = 138+512

=(13×3)+(5×2)24 LCM of 812=24

39+1024

2924

sum of numbers = 2924

difference of numbers= (13×3)(5×2)24

391024

Difference of numbers =4924

Required product = sum of numbers ÷ difference of numbers 

=2924÷(4924)=2924×2449=2949


Question 7

Sol :

 Sum of two numbers =83+47=(8×7)+(3×4)21 LCM Of 3,7=21=56+1221 Sum of two numbers =6821

 Product of given numbers =37×149=23

 Required product = Sum of 83 and 47 product of 31 and 149=6821÷(23)=6821×32=347


Question 8

Sol :

Given P=32,q=45, r=712

(p÷q)÷r=p÷(q÷ r)

 L.H.S =(p÷q)÷r=(32÷45)÷(712)=(32×54)÷(712)=(158)÷(712)=158×127=158×127

 L.H.S =+457 R.H.S =p÷(q÷ r)=32÷(45÷(712))=32÷(45×127)=32÷(4835)=32×3548RHS=3532LHSRHS(p÷q)÷rP÷(q÷τ)

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