Question

Which of the following represents associative property for integers with respect to multiplication?


a x (b x c) = (b x c) x a

p x (q + r) = p x q + p x r

p x (q x r)= (p x q ) x r

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

Answer 1

Answer:

Commutative of Multiplication:

For any two integers a and b, axb= bxa.

Example:

Statement 1

Statement 2

Inference

3× (– 4) = –12

(– 4) × 3 = –12

Both statementsare equal

(–15) × (–10) = 150

(–10) × (–15) = 150

Both statementsare equal

(–30) × 12 = -360

12 × (–30) = -360

Both statementsare equal

Associative property of Multiplication:

If you are multiplying three integers a, b and c, (a x b) x c = a x (b x c)

Example:

Statement 1

Statement 2

Inference

[(–3) × (–2)] ×5 = 30

(–3) × [(–2) × 5] = 30

Both statements are equal

[(7) × (– 6)] × 4 = -168

7 × [(– 6) × 4] = -168

Both statements are equal

[(7) × (3)] × 2 = 42

7 × [(3) × 2] = 42

Both statements are