Question
Which expression correctly demonstrates the Commutative Property of Multiplication?(1 point)
Responses
4(8a+3b)=4(8a⋅3b)
4 times open paren 8 A plus 3 b close paren is equal to 4 times open paren 8 A times 3 b close paren
3⋅4b⋅6a=4b⋅6a⋅3
3 times 4 times b times 6 A is equal to 4 b times 6 times A times 3
4⋅3b⋅8a=8a+4+3b
4 times 3 times b times 8 A is equal to 8 A plus 4 plus 3 b
3+4a+8b=8a+4b+3
Responses
4(8a+3b)=4(8a⋅3b)
4 times open paren 8 A plus 3 b close paren is equal to 4 times open paren 8 A times 3 b close paren
3⋅4b⋅6a=4b⋅6a⋅3
3 times 4 times b times 6 A is equal to 4 b times 6 times A times 3
4⋅3b⋅8a=8a+4+3b
4 times 3 times b times 8 A is equal to 8 A plus 4 plus 3 b
3+4a+8b=8a+4b+3
Answers
GPT-4o mini
The expression that correctly demonstrates the Commutative Property of Multiplication is:
**3⋅4b⋅6a=4b⋅6a⋅3**
This property states that the order of multiplication does not change the product, meaning that for any numbers \( a \), \( b \), and \( c \), \( a \cdot b \cdot c = b \cdot a \cdot c \) and so on.
In this case, the expression shows that the arrangement of the factors can be changed without affecting the final result.
**3⋅4b⋅6a=4b⋅6a⋅3**
This property states that the order of multiplication does not change the product, meaning that for any numbers \( a \), \( b \), and \( c \), \( a \cdot b \cdot c = b \cdot a \cdot c \) and so on.
In this case, the expression shows that the arrangement of the factors can be changed without affecting the final result.