Complete the following stepped-out solution to show that −7+[(8⋅m)⋅1/8]+7 is equivalent to m
To simplify the expression −7+[(8⋅m)⋅1/8]+7, we can follow these steps:
Step 1: Simplify the expression within the innermost parentheses.
The expression within the parentheses is (8⋅m)⋅1/8.
To simplify this, we multiply 8 and m first, then multiply the result by 1/8.
8⋅m = 8m
8m⋅1/8 = m
Step 2: Substitute the simplified expression back into the original expression.
The expression −7+[(8⋅m)⋅1/8]+7 becomes:
-7 + m + 7
Step 3: Simplify the remaining expression.
-7 + m + 7 can be simplified as -7 + 7 = 0.
Therefore, the simplified expression is just m.