Evaluate the expression from left to right.
First, ( − 1 ) + 5 = 4 .
Then, 4 − ( − 6 ) = 4 + 6 = 10 .
Finally, 10 − 5 = 5 . Therefore, the answer is 5 .
Explanation
Understanding the Problem We are asked to evaluate the arithmetic expression ( − 1 ) + 5 − ( − 6 ) − 5 and choose the correct answer from the given options. Let's break it down step by step.
First Addition First, we perform the addition of − 1 and 5 : ( − 1 ) + 5 = 4
Subtracting a Negative Number Next, we subtract − 6 from 4 . Remember that subtracting a negative number is the same as adding its positive counterpart: 4 − ( − 6 ) = 4 + 6 = 10
Final Subtraction Finally, we subtract 5 from 10 : 10 − 5 = 5
Finding the Answer Therefore, the result of the expression is 5 . Comparing this to the given options, we see that it corresponds to option B.
Examples
Understanding arithmetic expressions is crucial in everyday life. For instance, if you start with $5 in your pocket, spend $1, receive $6 as a gift, and then spend another $5, this problem shows you how to calculate your remaining amount. This skill is fundamental for budgeting, managing finances, and making informed decisions about spending and saving.