How to Calculate Math Problems With the Order of Operations

Calculating mathematical problems involving multiple operations can be very confusing. It is very important to follow the order of operations. Remember these simple steps when working complex problems involving multiple operations.

Things You'll Need

  • Calculator (if needed)
  • Math problem
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Instructions

    • 1

      Simplify all operations inside parentheses. Any operations contained in parentheses are answered first. This also applies to these enclosure symbols: { } and [ ]. If parentheses are enclosed within other parentheses, work from the inside out.

    • 2

      Simplify all exponents, working from left to right. Remember that the exponent is attached to the number or variable it is closest to. Treat any square roots as exponents.

    • 3

      Perform all multiplications and divisions, working from left to right.

    • 4

      Perform all additions and subtractions, working from left to right.

Tips & Warnings

  • There is no particular significance in the use of square brackets instead of parentheses.

  • The most important things to remember with order of operations is to work from the inside out, and to do each step completely and separately.

  • Do not try to complete two steps at once or do complex computations in your head, or you will be much more likely to make mistakes.

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