- The first expression is calculated as \(-1 - 1 = \boxed{-2}\).
- The second expression is calculated as \(-4 - 8 = \boxed{-4}\).
Explanation
- Analysis of the Arithmetic Expressions
The problem asks us to evaluate two simple arithmetic expressions:
- \(-1 - 1\)
- \(4 - 8\)
These expressions involve basic integer subtraction. We will calculate each step by step.
- Calculating -1 - 1
To calculate \(-1 - 1\), we start at \(-1\) on the number line and move \(1\) unit to the left. Since moving left on the number line represents subtraction, we have:
\[-1 - 1 = -2\]
- Calculating 4 - 8
To calculate \(4 - 8\), we start at \(4\) on the number line and move \(8\) units to the left. Alternatively, we can rewrite this as:
\[4 - 8 = -(8 - 4) = -4\]
Thus, the result of \(4 - 8\) is \(-4\).
- Conclusion and Final Results
We have determined that:
- \(-1 - 1 = -2\)
- \(4 - 8 = -4\)
The final results for the given expressions are \(-2\) and \(-4\), respectively.
Examples
Arithmetic operations are essential in everyday life. For instance, if you have a bank account balance of \(\$4\) and you make a transaction of \(\$8\), you would have a balance of \(4 - 8 = -\$4\), indicating an overdraft of \(\$4\). Similarly, if you owe someone \(\$1\) and borrow another \(\$1\), your total debt is \(-1 - 1 = -\$2\). These simple calculations form the basis for managing finances and understanding basic debt and credit concepts.