Identify Signs: Identify the signs of the two numbers to determine if they are negative or positive.We have −6 (negative) and 2 (positive), which have different signs.We should compare their absolute values to determine the result of their addition.
Compare Absolute Values: Since −6 and 2 have different signs, we will subtract the smaller absolute value from the larger one.The absolute values are 6 and 2.Subtract the smaller absolute value (2) from the larger one (6).Calculation: 6−2
Perform Subtraction: Perform the subtraction to find the difference between the absolute values.Calculation: 6−2=4
Determine Sign: Determine the sign of the final answer.Since the absolute value of −6 is greater than the absolute value of 2, the result will take the sign of the larger absolute value, which is negative.
Combine Result: Combine the result from Step 3 with the sign from Step 4 to get the final answer.The difference is 4, and the sign is negative.Therefore, −6+2=−4.