Final answer:
To evaluate the expression m(-5+7) with m = -3, first compute the sum inside the parentheses, which is 2. Then multiply this result by -3 to get the final result of -6.
Step-by-step explanation:
The student asks about the value of the expression m(-5+7) given that m = -3. First, tackle the expression inside the parentheses which is -5+7. Following the rules for combining integers, when we subtract a negative number, it is equivalent to adding its opposite. So in this case, we add because both numbers have different signs, and since 7 is greater than 5, the result is positive.
Now calculate the sum inside the parentheses: -5 + 7 = 2. Having this result, we can now multiply it by the value of m, which is -3. The final step is to multiply -3 by 2, which gives us -6.
The expression m(-5+7), with m equal to -3, is evaluated as follows:
- Inside the parentheses: -5 + 7 = 2
- Multiply by m: -3 × 2
- Final result: -6