Carroll Barnett
09/15/2024 · Senior High School

¿Cuáles de las siguientes expresiones son equivalentes a \( (6.2+6.2)+9.4 \) ? Elige 2 respuestas: A \( 6.2+(6.2+9.4) \) B \( -(-6.2+6.2)+9.4 \) C \( -(6.2+6.2)+9.4 \) D 9.4 E \( 6.2-(-6.2-9.4) \)

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Para determinar cuáles de las expresiones son equivalentes a \( (6.2+6.2)+9.4 \), primero simplificamos la expresión original: \[ (6.2 + 6.2) + 9.4 = 12.4 + 9.4 = 21.8 \] Ahora evaluamos cada una de las opciones: A) \( 6.2 + (6.2 + 9.4) \) \[ 6.2 + (6.2 + 9.4) = 6.2 + 15.6 = 21.8 \] B) \( -(-6.2 + 6.2) + 9.4 \) \[ -(-6.2 + 6.2) + 9.4 = -0 + 9.4 = 9.4 \] C) \( -(6.2 + 6.2) + 9.4 \) \[ -(6.2 + 6.2) + 9.4 = -12.4 + 9.4 = -3 \] D) \( 9.4 \) Esta es simplemente \( 9.4 \). E) \( 6.2 - (-6.2 - 9.4) \) Primero simplificamos \( -6.2 - 9.4 \): \[ -6.2 - 9.4 = -15.6 \] Entonces: \[ 6.2 - (-15.6) = 6.2 + 15.6 = 21.8 \] Ahora, resumimos los resultados: - A) \( 21.8 \) (equivalente) - B) \( 9.4 \) (no equivalente) - C) \( -3 \) (no equivalente) - D) \( 9.4 \) (no equivalente) - E) \( 21.8 \) (equivalente) Las expresiones equivalentes a \( (6.2+6.2)+9.4 \) son: **A y E.**

Quick Answer

Las expresiones equivalentes son A y E.
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