Question

Which one of the following properties is not followed by multiplication of whole numbers?

• A. Commutativity
• B. Associativity
• C. Distributivity
• D. None of the above

Answer 1

The correct option is D None of the above

Commutative property of Multiplication: A × B = B × A
Ex - 2 × 3 = 3 × 2 = 6

Associative property of Multiplication: A × (B × C) = (A × B) × C
Ex - 2 × (3 × 4) = 2 × 12 = 24
(2 × 3) × 4 = 6 × 4 = 24

Distributivity of multiplication over addition:
A × (B + C) = (A × B) + (A × C)
Ex - 2 × (3 + 5) = 2 × 8 = 16
(2 × 3) + (2 × 5) = 6 + 10 = 16

Distributivity of multiplication over subtraction: A × (B - C) = (A × B) - (A × C)
Ex - 2 × (5 - 3) = 2 × 2 = 4
(2 × 5) - (2 × 3) = 10 - 6 = 4