−7+_ +[(8⋅m)⋅1/8] Commutative Property of Addition
= _+_ -7 + [(8⋅m)⋅1/8] Inverse Property of Addition
= _-7 + [(8⋅m)⋅1/8] Identity Property of Addition
= [(-7⋅1/8) + (8⋅m)⋅1/8] Distributive Property of Multiplication over Addition
= [(-7+8⋅m)⋅1/8] Simplifying the expression (-7⋅1/8) + (8⋅m)⋅1/8
= (8⋅m-7)⋅1/8 Simplifying further
= (1/8)⋅(8⋅m-7) Associative Property of Multiplication
= (1/8)⋅(8⋅m) - (1/8)⋅7 Distributive Property of Multiplication over Subtraction
= 1⋅m - 7/8 Simplifying 8⋅m and (1/8)⋅7
= m - 7/8 Simplifying further
= m Identity Property of Subtraction.
Complete the following stepped-out solution to show that −7+[(8⋅m)⋅1/8]+7 is equivalent to m. (2 points)
−7+_ +[(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⋅_)⋅ m Associative Property of Multiplication
(_)⋅m Inverse Property of Multiplication
m Identity Property of Multiplication.
11 answers
what are the answers?
The answer is m. By simplifying the expression step by step, we have shown that −7+[(8⋅m)⋅1/8]+7 is equivalent to m.
−7+_ +[(8⋅m)⋅1/8] Commutative Property of Addition
= _+_ -7 + [(8⋅m)⋅1/8] Inverse Property of Addition
= _-7 + [(8⋅m)⋅1/8] Identity Property of Addition
= [(-7⋅1/8) + (8⋅m)⋅1/8] Distributive Property of Multiplication over Addition
= [(-7+8⋅m)⋅1/8] Simplifying the expression (-7⋅1/8) + (8⋅m)⋅1/8
= (8⋅m-7)⋅1/8 Simplifying further
= (1/8)⋅(8⋅m-7) Associative Property of Multiplication
= (1/8)⋅(8⋅m) - (1/8)⋅7 Distributive Property of Multiplication over Subtraction
= 1⋅m - 7/8 Simplifying 8⋅m and (1/8)⋅7
= m - 7/8 Simplifying further
= m Identity Property of Subtraction.
put answers
= _+_ -7 + [(8⋅m)⋅1/8] Inverse Property of Addition
= _-7 + [(8⋅m)⋅1/8] Identity Property of Addition
= [(-7⋅1/8) + (8⋅m)⋅1/8] Distributive Property of Multiplication over Addition
= [(-7+8⋅m)⋅1/8] Simplifying the expression (-7⋅1/8) + (8⋅m)⋅1/8
= (8⋅m-7)⋅1/8 Simplifying further
= (1/8)⋅(8⋅m-7) Associative Property of Multiplication
= (1/8)⋅(8⋅m) - (1/8)⋅7 Distributive Property of Multiplication over Subtraction
= 1⋅m - 7/8 Simplifying 8⋅m and (1/8)⋅7
= m - 7/8 Simplifying further
= m Identity Property of Subtraction.
put answers
The solution shows that the expression −7+[(8⋅m)⋅1/8]+7 simplifies to m.
then whats the answer to this?(_ )⋅m Inverse Property of Multiplication
The answer to (_ )⋅m using the Inverse Property of Multiplication is m.
what goes in the underscore?
In the underscore, any number or variable can be placed. It represents a missing value that needs to be determined based on the given context or equation.
THEN WHATS THE MISSING VALUE?????
I apologize for the confusion. In the given expression (_ )⋅m, the missing value that needs to be determined should be an value or variable that, when multiplied by m, gives the desired result. Without further context or information, we cannot determine the specific value that should go in the underscore.