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.
−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.
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