Solve the problem using proper order of operations: 3 / (7 * 72 / 6).

Prepare for the AVIXA AV Math Test with our engaging quiz. Dive into multiple-choice questions and flashcards, each with detailed explanations and hints to enhance your knowledge. Master the content and ensure your success on exam day!

To solve the problem ( 3 / (7 * 72 / 6) ), it is essential 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. Start with the calculation inside the parentheses: ( 7 * 72 / 6 ).
  1. First, perform the multiplication: ( 7 * 72 = 504 ).

  2. Next, divide that result by 6: ( 504 / 6 = 84 ).

  3. Now, substitute this back into the equation: ( 3 / 84 ).

  4. Finally, to compute ( 3 / 84 ), you can simplify this fraction or perform long division. The fraction simplifies to ( 1 / 28 ).

  5. Calculating this gives approximately ( 0.0357 ).

Thus, the correct answer is represented accurately by the choice that states ( 0.0357 ). This answer logically follows from the step-by-step application of the order of operations and reflects the correct mathematical process in arriving at the solution.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy