Question
\begin{tabular}{|l|l|}\hline (a) \( |-7|+2=\square \) \\ (b) \( |-7+2|=\square \)\end{tabular}
Ask by Garza Joseph. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( |-7|+2 = 9 \) and \( |-7+2| = 5 \).
Solution
1. **Solution for (a) \( |-7|+2 \):**
- Evaluate the absolute value:
\[
|-7| = 7
\]
- Add \(2\) to the result:
\[
7 + 2 = 9
\]
Thus, \( |-7|+2 = 9 \).
2. **Solution for (b) \( |-7+2| \):**
- First, simplify the expression inside the absolute value:
\[
-7 + 2 = -5
\]
- Then, apply the absolute value:
\[
|-5| = 5
\]
Thus, \( |-7+2| = 5 \).
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Simplify this solution Bonus Knowledge
To solve (a) \( |-7| + 2 = \square \), we first find the absolute value of \(-7\), which is \(7\). Then, we add \(2\) to it: \(7 + 2 = 9\). Thus, \(\square = 9\). For (b) \( |-7 + 2| = \square \), we first perform the calculation inside the absolute value: \(-7 + 2 = -5\). The absolute value of \(-5\) is \(5\). Therefore, \(\square = 5\). In summary, the answers are: (a) 9 (b) 5
