Complete the following stepped-out solution to show that −7+[(8⋅m)⋅18]+7 is equivalent to m .
−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)⋅18]+7 is equivalent to m.
−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
Final Solution: −7+[(8⋅m)⋅18]+7 simplifies to m.
there are no numbers to replace the question mark.
Apologies for the confusion. Let's complete the solution without using a question mark:
−7 + [(8⋅m)⋅18] + 7
= −7 + [8⋅(m⋅18)] + 7 (Associative property of multiplication)
= −7 + [8⋅(18m)] + 7
= −7 + 144m + 7 (Distributive property of multiplication)
= -7 + 7 + 144m
= 0 + 144m
= 144m
Final Solution: −7 + [(8⋅m)⋅18] + 7 simplifies to 144m.
its 1/8 not 18
Apologies for the mistake. Let's correct the solution:
−7 + [(8⋅m)⋅1/8] + 7
= −7 + (8m) ⋅ (1/8) + 7
= −7 + (8m) ⋅ (1/8) + 7
= (8m) ⋅ (1/8)
= (8⋅1) ⋅ m
= 8 ⋅ m
= m
Final Solution: −7 + [(8⋅m)⋅1/8] + 7 simplifies to m.
use the first question as an example
Sure, let's use the first question as an example:
−7 + [(8⋅m)⋅18] + 7
-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)⋅1/8 (Associative Property of Multiplication)
(1/8)⋅(8⋅m) (Commutative Property of Multiplication)
1/8⋅m (Associative Property of Multiplication)
m (Identity Property of Multiplication)
Final Solution: −7 + [(8⋅m)⋅18] + 7 simplifies to m.
replace the ? as numbers again
Certainly! Let's replace the question mark with numbers:
−7 + [(8⋅m)⋅18] + 7
-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)⋅1/8 (Associative Property of Multiplication)
(1/8)⋅(8⋅m) (Commutative Property of Multiplication)
1/8⋅m (Associative Property of Multiplication)
m (Identity Property of Multiplication)
Final Solution: −7 + [(8⋅m)⋅18] + 7 is equivalent to m.