Question
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B) \( -3-2[1-4+2(-4)] \)

Ask by Stewart Vega. in Mexico
Jan 22,2025

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Answer

La respuesta es 19.

Solution

Para resolver la expresión \( -3 - 2[1 - 4 + 2(-4)] \), sigamos los pasos paso a paso: 1. **Simplificar dentro de los corchetes:** \[ 1 - 4 + 2(-4) = 1 - 4 - 8 = -11 \] 2. **Sustituir el resultado en la expresión original:** \[ -3 - 2[-11] \] 3. **Multiplicar -2 por -11:** \[ -2 \times -11 = 22 \] 4. **Sumar -3 y 22:** \[ -3 + 22 = 19 \] **Respuesta final:** \( 19 \)

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First, let's simplify the expression step-by-step. Inside the brackets, we begin with \(1-4+2(-4)\). Calculating \(2(-4)\) gives \(-8\), so we have \(1-4-8\), which equals \(-11\). Now substituting this back into the original expression gives us \(-3-2[-11]\). This results in \(-3 + 22\) after distributing \( -2 \) through \( -11 \), leading us to a final answer of \(19\). Now, isn't math just a series of puzzles waiting to be solved? This expression showcases the beauty of order of operations—always tackle the innermost parentheses first! You'll be amazed at how many complex expressions break down into manageable pieces when approached methodically.

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