Desire which property is illustrated by the given statement
Which property is illustrated by the equation 3/7 (-17) = - 17 ( 3/7)
A. Commutative property of multiplication
B. Associative property of addition
C. Distributive property
D. Associative property of multiplication
E. Commutative property of addition
Looks like A to me.
To determine which property is illustrated by the given equation, we need to analyze the equation and compare it to the definitions of each property.
The given equation is:
3/7 * (-17) = -17 * (3/7)
Let's go through each option and determine if it matches the equation:
A. Commutative property of multiplication: This property states that the order of multiplication does not affect the result. However, in the given equation, we can see that the order of multiplication does affect the result because the position of -17 and 3/7 has been switched. Therefore, option A is not the correct answer.
B. Associative property of addition: This property states that the grouping of numbers being added does not affect the result. Since the equation does not involve addition, this property is not applicable. Therefore, option B is not the correct answer.
C. Distributive property: This property states that multiplication can be distributed over addition or subtraction. In the given equation, we can see that the multiplication operation is being distributed over addition/subtraction (3/7 is being multiplied with -17 and -17 is being multiplied with 3/7). Therefore, option C is the correct answer.
D. Associative property of multiplication: This property states that the grouping of numbers being multiplied does not affect the result. Since the equation does not involve grouping of numbers, this property is not applicable. Therefore, option D is not the correct answer.
E. Commutative property of addition: This property states that the order of addition does not affect the result. However, in the given equation, we can see that the order of multiplication, not addition, is being manipulated. Therefore, option E is not the correct answer.
In conclusion, the property illustrated by the given equation is option C - Distributive property.