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Use the order operations to find the value of the expression.

12 divided by 2 x 3 - (7 - 5)

0

6

16

19

1 answer

To evaluate the expression \( 12 \div 2 \times 3 - (7 - 5) \), we will follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

  1. Evaluate the parentheses: \[ 7 - 5 = 2 \] So, the expression becomes: \[ 12 \div 2 \times 3 - 2 \]

  2. Perform division and multiplication from left to right:

    • First, we divide: \[ 12 \div 2 = 6 \] Now, the expression is: \[ 6 \times 3 - 2 \]
    • Next, we multiply: \[ 6 \times 3 = 18 \] Now, the expression is: \[ 18 - 2 \]

  3. Perform subtraction: \[ 18 - 2 = 16 \]

Thus, the value of the expression is \( \boxed{16} \).