Hills Parry
12/27/2023 · Elementary School
Ejercicio 2: Realiza las siguientes operaciones con signos de agrupación 1. \( 8-\{5-4[-6+7(5-2)]-3\} \)
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Step-by-step Solution
Sure, let's solve the given expression step by step, following the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)).
Given expression:
\[ 8-\{5-4[-6+7(5-2)]-3\} \]
Step 1: Solve the innermost parentheses (5-2):
\[ 8-\{5-4[-6+7(3)]-3\} \]
Step 2: Solve the multiplication inside the parentheses (7*3):
\[ 8-\{5-4[-6+21]-3\} \]
Step 3: Solve the addition inside the parentheses (-6+21):
\[ 8-\{5-4[15]-3\} \]
Step 4: Solve the multiplication inside the brackets (4*15):
\[ 8-\{5-60-3\} \]
Step 5: Solve the subtraction inside the brackets (5-60-3):
\[ 8-\{-58\} \]
Step 6: Solve the subtraction outside the brackets (8-(-58)):
\[ 8+58 \]
Step 7: Solve the addition:
\[ 66 \]
So, the final answer is:
\[ 8-\{5-4[-6+7(5-2)]-3\} = 66 \]
Quick Answer
\[ 8-\{5-4[-6+7(5-2)]-3\} = 66 \]
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