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.
A and D are clearly out, as there is no addition.
Now check your notes for the meaning of the other properties.
To determine which property is illustrated by the statement 2(-3/9) = (-3/9)2, let's analyze the mathematical operations involved.
The statement shows that the multiplication of 2 and (-3/9) is equivalent to the multiplication of (-3/9) and 2.
Now, let's examine the options:
A. Associative property of addition: This property deals with grouping numbers when performing addition. Since there is no addition involved in the statement, we can eliminate this option.
B. Commutative property of multiplication: This property states that the order of multiplication does not affect the result. In this case, we can see that the order of multiplication has been exchanged without affecting the outcome. Therefore, the correct answer is B. Commutative property of multiplication.
C. Inverse property of multiplication: This property involves finding the reciprocal of a number. Since there is no reciprocal operation performed in this statement, we can eliminate this option.
D. Commutative property of addition: This property states that the order of addition does not affect the result. Since there is no addition involved in the statement, we can eliminate this option.
Thus, the correct answer is B. Commutative property of multiplication.