Problem 31 - Algebra 1: Concepts and Skills

Question

Evaluate the expression. $$ 2-(-4)-7 $$

Step-by-Step Solution

Answer

The solution to the expression \(\(2 - (-4) - 7 \)\) is -1.

Step 1: Identify the Operation

We see that there are two operations involved here: subtraction and the negation of a negative number. Essentially, these can be simplified to a series of addition and subtraction operations.

Step 2: Simplify

Starting with the given expression \(2 - (-4) - 7\), we handle the subtracting of a negative first. Subtracting a negative is the same as adding a positive, so this becomes \(2 + 4 - 7\).

Step 3: Evaluate

Evaluating \(2 + 4 - 7\) can now be done in a straightforward way, by simply adding and subtracting from left to right: \(6 - 7 = -1\).