How do you apply the order of operations to simplify the expression 2 + 1 × 32 ÷ 3?

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To simplify the expression 2 + 1 × 32 ÷ 3, we need to apply the rules of 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)).

Here is the step-by-step breakdown:

  1. Identify operations: In our expression, we have addition, multiplication, and division.
  2. Perform multiplication and division from left to right: We start with the multiplication of 1 × 32.
    • This equals 32.
  3. Next, perform the division: We now have the expression 32 ÷ 3.
    • This equals approximately 10.67 (when rounded to two decimal places).
  4. Combine with addition: The next step is to add the remaining part of the expression. We now simplify the expression to 2 + 10.67.
    • This results in 12.67.

Therefore, after applying the order of operations, the simplified result of 2 + 1 × 32 ÷ 3 is 12.67.

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