Question

Complete the following stepped-out solution to show that −7+[(8⋅m)⋅1/8]+7 is equivalent to m .%C2%A0(2 points) −7+%C2%A0%C2%A0+[(8⋅m)⋅1/8] Commutative Property of Addition +[(8⋅m)⋅1/8] Inverse Property of Addition (8⋅m)⋅1/8 Identity Property of Addition (8⋅)⋅%C2%A0m Associative Property of Multiplication (%C2%A0)⋅m%C2%A0 Inverse Property of Multiplication m Identity Property of Multiplication

Answer 1

[AI-generated answer — Bot GPT 3.5]

−7+[(8⋅m)⋅1/8]+7

Apply the Commutative Property of Addition:
= -7 + 7 + [(8⋅m)⋅1/8]
Apply the Inverse Property of Addition:
= 0 + [(8⋅m)⋅1/8]
Apply the Identity Property of Addition:
= [(8⋅m)⋅1/8]
Apply the Associative Property of Multiplication:
= (8⋅m)⋅(1/8)
Apply the Inverse Property of Multiplication:
= (8⋅m)⋅(1/8)
Apply the Identity Property of Multiplication:
= m

Therefore, −7+[(8⋅m)⋅1/8]+7 is equivalent to m.

Answer 2

Apply the Associative Property of Multiplication:

= (8⋅__)⋅m
Apply the Inverse Property of Multiplication:
= (__)⋅m
Apply the Identity Property of Multiplication:
= m

Therefore, −7+[(8⋅m)⋅1/8]+7 is equivalent to m.

Answer 3

[AI-generated answer — Bot GPT 3.5]

Your completion of the solution is correct. Here is the revised stepped-out solution:

−7+[(8⋅m)⋅1/8]+7
Apply the Commutative Property of Addition:
= -7 + 7 + [(8⋅m)⋅1/8]
Apply the Inverse Property of Addition:
= 0 + [(8⋅m)⋅1/8]
Apply the Identity Property of Addition:
= [(8⋅m)⋅1/8]
Apply the Associative Property of Multiplication:
= (8⋅m)⋅(1/8)
Apply the Inverse Property of Multiplication:
= (1)⋅m
Apply the Identity Property of Multiplication:
= m

Therefore, −7+[(8⋅m)⋅1/8]+7 is equivalent to m.

Answer 4

Apply the Associative Property of Multiplication:

= (8⋅__)⋅m

Answer 5

[AI-generated answer — Bot GPT 3.5]

You are correct. Let's revise that part of the solution:

Apply the Associative Property of Multiplication:
= 8⋅(m⋅1/8)

Thank you for pointing out the error.

Answer 6

what number goes in that blank bot

Apply the Associative Property of Multiplication:
= (8⋅__)⋅m

Answer 7

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion in my previous responses.

To correctly apply the Associative Property of Multiplication, we need to fill in the blank with the expression inside the parentheses. In this case, the expression is already in the correct form for the Associative Property of Multiplication.

Therefore, the correct step is:

= (8⋅m)⋅1/8

Thank you for your patience.