Question
i) \( 5-[6-2-(1-8)-5+6]+5= \) j) \( 9 \div[6 \div(-2)]= \)
Ask by Cross Marsh. in Mexico
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
i) \( 5 - [6 - 2 - (1 - 8) - 5 + 6] + 5 = -2 \)
j) \( 9 \div [6 \div (-2)] = -3 \)
Solution
Claro, resolvamos cada una de las expresiones paso a paso:
### i) \( 5 - [6 - 2 - (1 - 8) - 5 + 6] + 5 \)
**Paso 1:** Resolver el paréntesis interno.
\[
1 - 8 = -7
\]
La expresión se convierte en:
\[
5 - [6 - 2 - (-7) - 5 + 6] + 5
\]
**Paso 2:** Simplificar dentro de los corchetes.
\[
6 - 2 = 4
\]
\[
4 - (-7) = 4 + 7 = 11
\]
\[
11 - 5 = 6
\]
\[
6 + 6 = 12
\]
Entonces, la expresión queda:
\[
5 - [12] + 5
\]
**Paso 3:** Realizar las operaciones restantes.
\[
5 - 12 = -7
\]
\[
-7 + 5 = -2
\]
**Resultado:**
\[
5 - [6 - 2 - (1 - 8) - 5 + 6] + 5 = -2
\]
---
### j) \( 9 \div [6 \div (-2)] \)
**Paso 1:** Resolver el denominador.
\[
6 \div (-2) = -3
\]
**Paso 2:** Dividir el numerador por el denominador.
\[
9 \div (-3) = -3
\]
**Resultado:**
\[
9 \div [6 \div (-2)] = -3
\]
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Beyond the Answer
Let's break it down! For the first expression, we have \( 5 - [6 - 2 - (1 - 8) - 5 + 6] + 5 \). Start by solving inside the parentheses: \( (1 - 8) = -7 \), then replace it in the expression, and you'll find the answer to be \( 5 - [6 - 2 + 7 - 5 + 6] + 5 \), which simplifies nicely to a final answer of \( 16 \). For the second expression, \( 9 \div [6 \div (-2)] \), remember that dividing by a negative number changes the sign! Therefore, \( 6 \div (-2) = -3 \). So, now your expression becomes \( 9 \div (-3) \), giving you a result of \( -3 \).
