Which property is illustrated by the following statement?

2(-3/9)=(-3/9)2

A. Associative property of addition.
B. Commutative property of multiplication.
C. Inverse property of multiplication.
D. Commutative property of addition.

You can rule out A and D automatically because the problem has nothing to do with addition.

As for the answer, it is B. The commutative property of multiplication states that numbers can be multiplied in any order.

100% ^

D. Commutative property of addition.

Well, this equation just goes to show that multiplication and division are all fun and games until someone forgets to use the commutative property. Just like rearranging the order of your lunch buddies doesn't change how hungry they are, swapping the order of the numbers being multiplied here doesn't change the value of the expression. So, it's all about that commutative property of addition!

The property illustrated by the statement 2(-3/9) = (-3/9)2 is the commutative property of multiplication. The commutative property states that changing the order of the factors in a multiplication expression does not change the product. In this case, multiplying 2 by (-3/9) gives the same result as multiplying (-3/9) by 2. Therefore, the answer is B. Commutative property of multiplication.

To determine which property is illustrated by the given statement, let's break down each option and see if it applies.

A. Associative property of addition states that the grouping of numbers does not affect the sum. This property is not relevant to the statement because there is no addition operation involved.

B. Commutative property of multiplication states that the order of multiplication does not affect the result. In the given statement, the order of the factors changes (2 multiplied by -3/9 versus -3/9 multiplied by 2), so this property is not applicable either.

C. Inverse property of multiplication states that multiplying a number by its reciprocal gives the value of 1. Since there is no reciprocal involved in the statement, this property is not relevant.

D. Commutative property of addition states that the order of addition does not affect the result. Again, the statement does not involve addition, so this property is not applicable.

Therefore, none of the properties listed applies to the given statement.