Verified Answer :

  • Identify the expression: \(-27 - (-39) - (-34)\).
  • Apply the property \(a - (-b) = a + b\) to rewrite the expression as \(-27 + 39 + 34\).
  • Perform the addition: \(-27 + 39 = 12\).
  • Add the final term: \(12 + 34 = 46\).
  • The final result is \(\boxed{46}\).

Explanation

  1. Analysis of the Expression

The objective is to evaluate the numerical expression \(-27 - (-39) - (-34)\). This expression involves the subtraction of negative integers. Recall the fundamental algebraic property that subtracting a negative number is equivalent to adding its positive counterpart: \(a - (-b) = a + b\).

  1. Evaluation of the Expression

We begin by rewriting each subtraction of a negative number as an addition of a positive number:
\[-27 - (-39) - (-34) = -27 + 39 + 34\]
Now, we perform the arithmetic operations from left to right. First, calculate \(-27 + 39\):
\[-27 + 39 = 12\]
Next, add the remaining term \(34\) to this result:
\[12 + 34 = 46\]
Thus, the final value of the expression is \(46\).

Examples

Understanding how to handle negative numbers is essential in everyday life. For instance, imagine you have a balance of \(\$-27\) in a bank account. If you receive a deposit of \(\$39\) and then another credit of \(\$34\), you can calculate your new balance by evaluating the expression \(-27 + 39 + 34\). This math principle helps in tracking finances, temperature changes, or any scenario involving debts and credits.

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