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What is the value of the expression: \[ 40 \div(9-4) \times 2 \] Write your answer in the space provided.

Ask by Ramos Ortega. in the United States
Feb 25,2025

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Tutor-Verified Answer

Answer

The value of the expression is 16.

Solution

To solve the expression, follow the order of operations (PEMDAS): 1. Parentheses: First, calculate the expression inside the parentheses. 9 - 4 = 5 2. Division: Next, perform the division. 40 ÷ 5 = 8 3. Multiplication: Finally, multiply by 2. 8 × 2 = 16 Thus, the value of the expression is 16.

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The Deep Dive

To evaluate the expression \( 40 \div(9-4) \times 2 \), we first simplify the part in the parentheses: \[ 9 - 4 = 5 \] Now we substitute this back into the expression: \[ 40 \div 5 \times 2 \] Next, we perform the division: \[ 40 \div 5 = 8 \] Now we multiply the result by 2: \[ 8 \times 2 = 16 \] Thus, the value of the expression is \( \boxed{16} \).

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