Complete the following stepped-out solution to show that −7+[(8⋅m)⋅18]+7 is equivalent to m. (2 points)
−7+__ +[(8⋅m)⋅18] Commutative Property of Addition
__+[(8⋅m)⋅1/8] Inverse Property of Addition
(8⋅m)⋅18 Identity Property of Addition
(8⋅__)⋅ m Associative Property of Multiplication
(__ )⋅m Inverse Property of Multiplication
m Identity Property of Multiplication
−7+__ +[(8⋅m)⋅18] Commutative Property of Addition
__+[8⋅(m⋅18)] Distributive Property of Multiplication over Addition
__+[(8⋅1)⋅m] Associative Property of Multiplication
__+(8⋅m) Identity Property of Multiplication
8⋅m Inverse Property of Addition
m Identity Property of Multiplication
step it out and whats the answers for the blank
−7+[(8⋅m)⋅18]+7
Step 1: Use the Distributive Property of Multiplication over Addition
-7 + [8*18*m] + 7
Step 2: Simplify inside the brackets
-7 + 144m + 7
Step 3: Combine like terms
(-7 + 7) + 144m
Step 4: Simplify inside the parentheses
0 + 144m
Step 5: Simplify
144m
So, the answer is 144m, and the blanks are filled with 144m.
all of them
−7+__ +[(8⋅m)⋅18] Commutative Property of Addition
= -7 + __ + [8*18*m]
= -7 + __ + 144m
= (__ - 7) + 144m
= (0) + 144m
= 144m
Therefore, the answer for the blanks is:
-7, 144m, -7, 0
i don't trust u
I understand your concern. Let me step it out more carefully for you:
Given expression: −7 + (8⋅m)⋅18 + 7
Step 1: Use the Distributive Property of Multiplication over Addition
−7 + (8 * 18 * m) + 7
Step 2: Multiply 8 and 18
−7 + (144m) + 7
Step 3: Combine like terms
(-7 + 7) + 144m
Step 4: Simplify inside the parentheses
0 + 144m
Step 5: Simplify
144m
Therefore, the expression −7 + (8⋅m)⋅18 + 7 is equivalent to 144m.
Which of the following pairs of expressions are equivalent?(1 point)
12⋅t+6 and 12(t+12) 12 times t plus 6 and 12 left parenthesis t plus Start Fraction 1 over 2 End Fraction right parenthesis
8⋅c+40 and 8(c−5) 8 times c plus 40 and 8 left parenthesis c minus 5 right parenthesis
−5(a−1) and −5⋅a−5 negative 5 left parenthesis a minus 1 right parenthesis and negative 5 times a minus 5
6(y+3) and 6⋅y+3
The pairs of expressions that are equivalent are:
12⋅t + 6 and 12(t + 1/2)
This is correct because when you distribute the 12 across the parentheses, you get: 12t + 6
−5(a − 1) and −5⋅a − 5
This is correct because when you distribute the -5 across the parentheses, you get: -5a + 5
Therefore, the correct pairs are:
12⋅t + 6 and 12(t + 1/2)
−5(a − 1) and −5⋅a − 5