Complete the following stepped-out solution to show that −7+[(8⋅m)⋅1/8]+7 is equivalent to m.
-7+7[(8*m)*1/8]
Commutative property of Addition
To show that −7+[(8⋅m)⋅1/8]+7 is equivalent to m, we need to simplify the expression step by step.
Step 1: Distribute the multiplication inside the parentheses
-7 + [8 * m * 1/8] + 7
Step 2: Simplify the multiplication inside the brackets
-7 + [8m * 1/8] + 7
Step 3: Multiply 8m and 1/8
-7 + (8m * 1/8) + 7
-7 + (8m/8) + 7
-7 + (m) + 7
Step 4: Combine like terms
(-7 + 7) + m
0 + m
m
Therefore, −7+[(8⋅m)⋅1/8]+7 is equivalent to m.
To apply the commutative property of addition, we can rearrange the terms in the expression -7+7[(8*m)*1/8].
The commutative property of addition states that the order of addition does not affect the result.
Rearranging the terms:
-7 + 7[(8*m)*1/8]
= 7[(8*m)*1/8] + (-7)
Now we can proceed with simplifying the expression.
Enter the numbers that make the algebraic expressions equivalent.
Expression 1: 4x + 5 (x - 2) + ?
Expression 2: ?x - 11 - x + 9
To find the numbers that make the two algebraic expressions equivalent, we need to set the expressions equal to each other and solve for the missing values.
Setting Expression 1 equal to Expression 2:
4x + 5(x - 2) + ? = ?x - 11 - x + 9
First, let's simplify the expression:
4x + 5x - 10 + ? = ?x - x - 2
Combining like terms:
9x - 10 + ? = ?x - 2
Since we don't have any numbers in the given expressions, we'll assume that the missing values are numbers.
The numbers that make the two algebraic expressions equivalent are 9 for the value of "?" in Expression 1 and -8 for the value of "?" in Expression 2.
Therefore:
Expression 1: 4x + 5(x - 2) + 9
Expression 2: -8x - 11 - x + 9