which property is illustrated by the statement
8 (-5/6) = (-5/6) 8
Associative property of addition
commutative property of multiplication
inverse property of multiplication
commutative property of addition***
wait no i meant B
Is this a multiplication problem?
B is better :-)
To determine which property is illustrated by the statement, let's break down the options and apply them to the equation:
1. Associative property of addition: This property states that changing the grouping of numbers being added does not change the sum. However, the equation involves multiplication, not addition, so this property is not applicable.
2. Commutative property of multiplication: This property states that changing the order of numbers being multiplied does not change the product. In the equation, the order of the numbers is being changed, but it is multiplication, not addition, so this property is not applicable either.
3. Inverse property of multiplication: This property states that multiplying a number by its reciprocal yields the multiplicative identity, which is 1. The equation does not involve reciprocals or the multiplicative identity, so this property is not applicable.
4. Commutative property of addition: This property states that changing the order of numbers being added does not change the sum. In the equation, the order is being changed, and although it is multiplication rather than addition, this property still holds. Therefore, the correct property illustrated by the statement is the Commutative property of addition.
It's important to note that when dealing with properties, it's helpful to understand their definitions and directly apply them to the given equation to determine the correct answer.