Mark the correct alternative in each of the following: Subtraction of integers is

Question

Philoid · Accepted Answer

1) NOT Commutative:

⇒ a * b = a - b …(1)

⇒ b * a = b - a …(2)

⇒ a * b ≠ b * a

2) NOT Associative:

⇒ (a * b)* c = (a - b) * c

(a - b) * c = (a - b) - c

(a - b) * c = a – b - c

⇒ a * (b * c) = a * (b - c)

a * (b - c) = a – (b - c)

a * (b - c) = a – b + c

⇒ (a * b)* c ≠ a * (b * c)