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8div4(3-2)xx4+3-7=?...

`8div4(3-2)xx4+3-7=?`

A

(-3)

B

(-4)

C

4

D

5

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 8 \div 4(3 - 2) \times 4 + 3 - 7 \), we will 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)). ### Step-by-Step Solution: 1. **Evaluate the Parentheses:** \[ 3 - 2 = 1 \] Now, substitute this back into the expression: \[ 8 \div 4(1) \times 4 + 3 - 7 \] 2. **Rewrite the Expression:** Since \( 4(1) \) is simply \( 4 \), the expression now looks like: \[ 8 \div 4 \times 4 + 3 - 7 \] 3. **Perform Division and Multiplication from Left to Right:** - First, perform the division: \[ 8 \div 4 = 2 \] Now substitute this back into the expression: \[ 2 \times 4 + 3 - 7 \] - Next, perform the multiplication: \[ 2 \times 4 = 8 \] Now substitute this back into the expression: \[ 8 + 3 - 7 \] 4. **Perform Addition and Subtraction from Left to Right:** - First, perform the addition: \[ 8 + 3 = 11 \] Now substitute this back into the expression: \[ 11 - 7 \] - Finally, perform the subtraction: \[ 11 - 7 = 4 \] ### Final Answer: \[ \text{The final result is } 4. \]
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