Cole Robbins
07/09/2024 · Junior High School
¿Cuáles de las siguientes expresiones son equivalentes a \( (-19+3)-6 \) ? Elige 3 respuestas: A \( -19+3-6 \) B \( -19+(3-6) \) C \( -19-3-6 \) D \( -(19-3+6) \) E \( -(19+3)-6 \)
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Step-by-step Solution
Para determinar cuáles de las expresiones son equivalentes a \( (-19+3)-6 \), primero simplificamos la expresión original:
\[
(-19 + 3) - 6 = -16 - 6 = -22
\]
Ahora evaluamos cada una de las opciones:
A) \( -19 + 3 - 6 \)
\[
-19 + 3 - 6 = -16 - 6 = -22
\]
B) \( -19 + (3 - 6) \)
\[
3 - 6 = -3 \quad \Rightarrow \quad -19 - 3 = -22
\]
C) \( -19 - 3 - 6 \)
\[
-19 - 3 - 6 = -22 - 6 = -28 \quad \text{(no es equivalente)}
\]
D) \( -(19 - 3 + 6) \)
\[
19 - 3 + 6 = 16 + 6 = 22 \quad \Rightarrow \quad -22
\]
E) \( -(19 + 3) - 6 \)
\[
19 + 3 = 22 \quad \Rightarrow \quad -22 - 6 = -28 \quad \text{(no es equivalente)}
\]
Las expresiones equivalentes a \( (-19+3)-6 \) son:
- A) \( -19 + 3 - 6 \)
- B) \( -19 + (3 - 6) \)
- D) \( -(19 - 3 + 6) \)
Por lo tanto, las respuestas correctas son A, B y D.
Quick Answer
Las expresiones equivalentes son A, B y D.
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