Question

f r is a real number, which of the following illustrates the commutative property of multiplication? A.(32)(r)=(3)(2r)( B.(32)(r)=(r)(32) C.(32)(r)=(30)(r)+(2)(r) D.(32)(r)=(32)(r)(1)

Answer 1

(32)(r) = (r)(32) demonstrates the commutative property of multiplication.

Option (B) is true.

Explanation:

The commutative property of multiplication states that changing the order of the factors does not change the product.

In other words, if a and b are real numbers, then a * b = b * a.

In the given options:

A. (32)(r) = (3)(2r) - This does not illustrate the commutative property of multiplication since the order of the factors is changed from (32)(r) to (3)(2r).

B. (32)(r) = (r)(32) - This option illustrates the commutative property of multiplication since the order of the factors is changed, but the product remains the same.

C. (32)(r) = (30)(r) + (2)(r) - This option does not illustrate the commutative property of multiplication as there is no change in the order of the factors.

D. (32)(r) = (32)(r)(1) - This option does not illustrate the commutative property of multiplication as the order of the factors is not changed, but an additional factor of 1 is introduced.

Therefore,

Option (B) is true.