Identify Signs: Identify the signs of the two numbers to determine if they are negative or positive.We have −8 which is negative, and 3 which is positive. Since they have different signs, we will subtract their absolute values.
Determine Operation: Determine whether to add or subtract the absolute values of −8 and 3. The absolute value of −8 is 8, and the absolute value of 3 is 3. Since the numbers have different signs, we subtract the smaller absolute value from the larger one. Subtract: 8−3
Perform Subtraction: Perform the subtraction of the absolute values.Calculate: 8−38−3=5
Determine Sign: Determine the sign of the final answer.Since the absolute value of the negative number (−8) is larger than the absolute value of the positive number (3), the final answer will take the sign of the larger absolute value, which is negative.
Combine for Final Answer: Combine the result from Step 3 with the sign determined in Step 4 to get the final answer.The result of subtracting the absolute values is 5, and the sign is negative, so:−8+3=−5