Questions: Calculate the value of this expression. 4(-4)-(8+1)

Calculate the value of this expression. 4(-4)-(8+1)
Transcript text: Problem 3: Calculate the value of this expression. \[ 4(-4)-(8+1) \]
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Solution

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Solution Steps

To solve the expression \(4(-4)-(8+1)\), we need to follow 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, evaluate the expression inside the parentheses, then perform the multiplication, and finally, the subtraction.

Step 1: Evaluate the Parentheses

First, we evaluate the expression inside the parentheses: \[ 8 + 1 = 9 \]

Step 2: Perform the Multiplication

Next, we perform the multiplication: \[ 4 \times (-4) = -16 \]

Step 3: Combine the Results

Now, we combine the results from the previous steps: \[ -16 - 9 = -25 \]

Final Answer

The value of the expression is \(\boxed{-25}\).

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