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.
which property would apply to something like
5 x 6 = 6 x 5 ?
I would immediately rule out A and D , since we are NOT adding.
To determine the property illustrated by the given statement, let's first understand what each property means:
A. Associative property of addition: This property states that the grouping of numbers being added does not affect the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).
B. Commutative property of multiplication: This property states that the order of numbers being multiplied does not affect the product. For example, 2 * 3 = 3 * 2.
C. Inverse property of multiplication: This property states that multiplying a number by its reciprocal results in the identity element for multiplication, which is 1. For example, if a * (1/a) = 1.
D. Commutative property of addition: This property states that the order of numbers being added does not affect the sum. For example, 2 + 3 = 3 + 2.
Now let's analyze the given statement: 2(-3/9) = (-3/9)2
This statement is actually an example of the commutative property of multiplication, which is option B. The reason is that the order of multiplication is changed, but the product remains the same. In other words, multiplying 2 by (-3/9) is the same as multiplying (-3/9) by 2.
Therefore, the correct answer is B. Commutative property of multiplication.