Question
\( 1 \leftarrow \) Calculate. \[ \begin{array}{l}1+(-4)-(-2) \\ \text { Select the correct answer below and, if necessary, fill in the answer box to complete your choice. } \\ \text { A. } 1+(-4)-(-2)=\square \\ \text { B. The expression is undefined. }\end{array} . \]
Ask by Wood Edwards. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 1 + (-4) - (-2) = -1 \)
Solution
1. Start with the expression:
\[
1 + (-4) - (-2)
\]
2. Simplify the addition of \(1\) and \(-4\):
\[
1 + (-4) = 1 - 4 = -3
\]
3. Now subtract \(-2\) from \(-3\). Remember that subtracting a negative is equivalent to adding a positive:
\[
-3 - (-2) = -3 + 2
\]
4. Complete the addition:
\[
-3 + 2 = -1
\]
Thus, \( 1 + (-4) - (-2) = -1 \).
The correct answer is:
**A. \( 1+(-4)-(-2) = -1 \)**
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Bonus Knowledge
Let's break it down step by step! Starting with the expression \( 1 + (-4) - (-2) \): 1. First, \( 1 + (-4) \) equals \( 1 - 4 \), which is \( -3 \). 2. Next, we handle the subtraction of \( -2 \). This is the same as adding \( 2 \). So, we compute \( -3 + 2 \), which gives us \( -1 \). So, the expression evaluates to \( -1 \). Therefore, the correct answer is: \[ \text{A. } 1+(-4)-(-2)=-1 \]