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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