Verified Answer :

  • The first expression is calculated as \(-1 - 1 = \boxed{-2}\).
  • The second expression is calculated as \(-4 - 8 = \boxed{-4}\).

Explanation

  1. Analysis of the Arithmetic Expressions

The problem asks us to evaluate two simple arithmetic expressions:

  1. \(-1 - 1\)
  2. \(4 - 8\)

These expressions involve basic integer subtraction. We will calculate each step by step.

  1. 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:
\[-1 - 1 = -2\]

  1. 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 \(-4\).

  1. Conclusion and Final Results

We have determined that:

  1. \(-1 - 1 = -2\)
  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.