Question

If a = -35, b = 10 cm and c = -5, verify that:
(i) a + (b + c) = (a + b) + c
(ii) a × (b + c) = a × b + a × c​

Answer 1

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a = -35 , b = 10 and c = -5

i) a + (b + c) = (a + b) + c

=> -35 + (10 + (-5)) = (-35 + 10) + (-5)

=> -35 + 5 = -25 - 5

=> -30 = -30

hence verified!

ii) a × ( b + c) = a × b + a × c

=> -35 × ( 10 + (-5)) = -35 × 10 + -35 × -5

=> -35 × 5 = -350 + 175

=> -175 = - 175

hence, verified!

Answer 2

Answer:

i)a+(b+c)=(a+b)+c

=>-35+(10+(-5))=(-35+10)+(-5)

=>-35+5=-25-5

=>-30=-30

ii)a×(b+c)=a×b+a×c

=>-35×(10-5)=-35×10-35×-5

=>-35×5=-350+175

=>-175=-175