Question
Use the order of operations to simplify the given expression. \[ 5+(6+4)-11 \]
Ask by Barnett Huff. in the United States
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \(4\).
Solution
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The Deep Dive
Let’s break it down step-by-step using the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). First, solve the expression inside the parentheses: \[ 6 + 4 = 10 \] Now, substitute this back into the expression: \[ 5 + 10 - 11 \] Next, perform the addition: \[ 5 + 10 = 15 \] Now, we are left with: \[ 15 - 11 \] Finally, perform the subtraction: \[ 15 - 11 = 4 \] So, the simplified expression is: \[ 4 \]
