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.
What don't you understand about the answer you already got?
http://www.jiskha.com/display.cgi?id=1475102317
The property illustrated by the following statement is the commutative property of multiplication.
To determine which property is illustrated by the given statement, let's break down the options and understand each property:
A. Associative property of addition: This property states that changing the grouping of the numbers doesn't affect the result in addition. For example, (a + b) + c = a + (b + c).
B. Commutative property of multiplication: This property states that changing the order of the numbers doesn't affect the result in multiplication. For example, a * b = b * a.
C. Inverse property of multiplication: This property states that every non-zero number, when multiplied by its reciprocal, results in 1. For example, a * (1/a) = 1.
D. Commutative property of addition: This property states that changing the order of the numbers doesn't affect the result in addition. For example, a + b = b + a.
Now, let's analyze the given statement: 2(-3/9) = (-3/9)2.
We see that the order of the numbers changes in this statement while using multiplication. According to the commutative property of multiplication, changing the order of the numbers doesn't affect the result. Therefore, the correct answer is:
B. Commutative property of multiplication.