Identify Signs: Identify the signs of the numbers involved in the subtraction.We have −8 and −(−2). The first number is negative, and the second number is also negative, but since it is being subtracted, it becomes positive due to the double negative.
Simplify Expression: Simplify the expression by removing the double negative.−8−(−2) becomes −8+2 because subtracting a negative is the same as adding a positive.
Add Absolute Values: Add the absolute values of the numbers, considering their signs.We have −8 (which is negative) and +2 (which is positive). Since they have different signs, we subtract the smaller absolute value from the larger one.Calculate: 8−2
Perform Subtraction: Perform the subtraction.Calculate: 8−2=6
Determine Sign: Determine the sign of the final answer.Since the absolute value of the original negative number (−8) is larger than the absolute value of the positive number (2), the result will be negative.
Combine Results: Combine the result from Step 4 with the sign from Step 5 to get the final answer.The final answer is −6.