Identify Signs: Identify the signs of the numbers involved in the subtraction.We have −5 and −(−6). The first number is negative, and the second number is also negative, but we are subtracting a negative, which is the same as adding a positive.
Rewrite Subtraction: Rewrite the subtraction of a negative number as the addition of a positive number.Subtracting a negative number is the same as adding its positive counterpart. So, −5−(−6) becomes −5+6.
Add Numbers: Add the two numbers.Now we have −5+6. Since the signs are different, we subtract the smaller absolute value from the larger absolute value and keep the sign of the larger absolute value number.Calculate: 6−5=1
Determine Sign: Determine the sign of the final answer.Since 6 has a larger absolute value than 5 and its sign is positive (after converting the subtraction of a negative to addition), the final answer will be positive.
Combine Results: Combine the results to find the final answer.We found that 6−5=1 and the final answer is positive.So, −5−(−6)=1.