- Identify the expression: \(-39 - 54 + 11\).
- Subtract 54 from -39 to get -93.
- Add 11 to -93 to get -82.
- The final result is \(\boxed{-82}\).
Explanation
- Problem Analysis
The given expression to evaluate is \(-39 - 54 + 11\). This is a straightforward arithmetic operation involving the subtraction of two positive integers from a negative integer, followed by the addition of a positive integer. Our goal is to determine the resulting integer value by performing these calculations in order.
- Arithmetic Calculation
To evaluate the expression \(-39 - 54 + 11\), we follow the standard order of operations, moving from left to right. First, we perform the subtraction of \(54\) from \(-39\):
\[ -39 - 54 = -93 \]
Next, we take this intermediate result and add \(11\):
\[ -93 + 11 = -82 \]
Therefore, the value of the expression is \(-82\).
Examples
Imagine you are keeping track of your budget. You start with a debt of \$39, then you spend an additional \$54 on a purchase, putting you further into debt. Finally, you receive a refund of \$11. You can calculate your current balance using the expression \(-39 - 54 + 11\), which results in a final debt of \(\$82\). Arithmetic operations like these are fundamental in managing finances and balancing accounts accurately in everyday life.