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×(9−4)
=37×98×(−4)
=−33332
=−101332
(iii) 89÷−35
=−89×5−3
=−8×59x−3
=−40−27
=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=−1112 x 229
⇒−1112×922
x=−38
Other number =−38
Question 4
Sol :Let unknown number be x
x×(−712)=514
x=514÷(−712)
=514×12−7
=5×1214×(−7)
=−6098
=−3049
Question 5
Sol :
Let unknown number be x
−3x=−913
x=−31÷(−913)
=−31×13−9
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
−39−1024
Difference of numbers =−4924
Required product = sum of numbers ÷ difference of numbers
=−2924÷(−4924)=−2924×24−49=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)=6821×3−2=−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)=−158×12−7=−158×12−7
L.H.S =+457 R.H.S =p÷(q÷ r)=−32÷(45÷(−712))=−32÷(45×12−7)=−32÷(−4835)=−32×−3548R⋅HS=3532L⋅H⋅S≠R⋅H⋅S(p÷q)÷r≠P÷(q÷τ)
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