What is the result of the expression 8 + 24 ÷ 4 × (6 - 4)?

Prepare for the Praxis Elementary Education Test Math section. Study with interactive questions and explanations. Prepare confidently for your exam!

To solve the expression 8 + 24 ÷ 4 × (6 - 4), it's important 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)).

  1. Parentheses: Start by evaluating the expression inside the parentheses:

(6 - 4) = 2.

Now the expression becomes 8 + 24 ÷ 4 × 2.

  1. Division and Multiplication: These operations should be processed from left to right. First, do the division:

24 ÷ 4 = 6.

Now the expression is 8 + 6 × 2.

  1. Continue with the multiplication:

6 × 2 = 12.

Now the expression simplifies to 8 + 12.

  1. Addition: Finally, perform the addition:

8 + 12 = 20.

Therefore, the final result of the expression is 20. This answer demonstrates a clear following of the proper mathematical order, ensuring that calculations are performed accurately for each component of the expression.

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