Question

Name the algebraic property demonstrated in the example below:

3 ⋅ (x ⋅ y) = (3 ⋅ x) ⋅ y

Distributive Property

Transitive Property

Associative Property of Multiplication

Commutative Property of Multiplication

Answer 1

It's Associative Property of Multiplication.

Answer 2

C. Associative Property of Multiplication

Explanation:

The associative property of multiplication is a.(b.c) = (a.b).c

The associative property of multiplication is true for all the real numbers.

Let me show you an example.

Let's take a = 2, b= 5 and c = -2

a.(b.c) = 2.(5.-2)

=2(-10)

= -20

(a.b).c = (2.5).-2

= 10.-2

= -20

You can see a.(b.c) = (a.b).c

-20 = -20

So the associative property of multiplication holds good.

Given: 3.(x.y) = (3.x).y

It is an example of "associative property of multiplication"

Even if we change the brackets and multiply the terms, the result will be the same.