Question
\( 1 \leftarrow \quad \) Perform the indicated operations, using the order of operations as necessary. \( -8[4+(2-5)] \) Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. \( -8[4+(2-5)]=\square \) (Simplify your answer.) B. The expression is undefined.
Ask by Barber Harper. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(-8[4+(2-5)] = -8\)
Solution
1. First, evaluate the expression inside the innermost parentheses:
\[
2-5 = -3
\]
2. Substitute the result into the expression:
\[
-8[4+(-3)]
\]
3. Simplify the bracket by performing the addition:
\[
4+(-3)=1
\]
4. Multiply by \(-8\):
\[
-8 \times 1 = -8
\]
Thus, the simplified expression is:
\[
-8[4+(2-5)] = -8
\]
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The Deep Dive
To solve the expression \( -8[4+(2-5)] \), we first simplify the expression within the brackets. Start with \( (2-5) \), which equals \( -3 \). Now we can replace that in the expression: \[ 4 + (-3) = 4 - 3 = 1. \] Next, we substitute back into the expression: \[ -8[1]. \] Multiplying this gives: \[ -8 \times 1 = -8. \] Therefore, the final answer is: A. \( -8[4+(2-5)]= -8 \) (Simplify your answer.)