Question
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\( 1 \leftarrow \quad \) 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.)

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