Question
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
4(3x)plus4(5x)equals4 left parenthesis 5 x right parenthesis plus 4 left parenthesis 3 x right parenthesis
Question content area bottom
Part 1
The statement is an example of which of the following properties?
A.
Associative
B.
Identity
C.
Inverse
D.
Commutative
E.
Distributive
4(3x)plus4(5x)equals4 left parenthesis 5 x right parenthesis plus 4 left parenthesis 3 x right parenthesis
Question content area bottom
Part 1
The statement is an example of which of the following properties?
A.
Associative
B.
Identity
C.
Inverse
D.
Commutative
E.
Distributive
Answers
GPT-4o mini
The statement \( 4(3x) + 4(5x) = 4(5x) + 4(3x) \) is an example of the **Commutative Property**.
The Commutative Property states that the order of addition (or multiplication) does not affect the sum (or product). In this case, the terms on the left side of the equation are rearranged on the right side, demonstrating this property.
So the correct answer is:
**D. Commutative**
The Commutative Property states that the order of addition (or multiplication) does not affect the sum (or product). In this case, the terms on the left side of the equation are rearranged on the right side, demonstrating this property.
So the correct answer is:
**D. Commutative**