Question
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
8 left parenthesis 3 f right parenthesis minus 8 left parenthesis 7 g right parenthesis equals 8 left parenthesis 3 f minus 7 g right parenthesis
Question content area bottom
Part 1
A.
Distributive
B.
Commutative
C.
Identity
D.
Associative
8 left parenthesis 3 f right parenthesis minus 8 left parenthesis 7 g right parenthesis equals 8 left parenthesis 3 f minus 7 g right parenthesis
Question content area bottom
Part 1
A.
Distributive
B.
Commutative
C.
Identity
D.
Associative
Answers
GPT-4o mini
The statement given is an example of the **distributive property**.
The distributive property states that a(b - c) = ab - ac. In your case, 8(3f) - 8(7g) is being shown as 8(3f - 7g), which demonstrates the distribution of the coefficient (8) over the terms inside the parentheses.
So the correct answer is:
A. Distributive
The distributive property states that a(b - c) = ab - ac. In your case, 8(3f) - 8(7g) is being shown as 8(3f - 7g), which demonstrates the distribution of the coefficient (8) over the terms inside the parentheses.
So the correct answer is:
A. Distributive