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How to Solve a Math Problem Using PEMDAS

When you are given a messy arithmetic expression, you will need to remember the order of operations. PEMDAS or the phrase “Please excuse my dear Aunt Sally” is a mnemonic device that with help you remember the order of operations. PEMDAS stands for parentheses, exponents, multiplication and division, addition and subtraction--mathematical operations are done in that order.

Instructions

    • 1

      To solve a math problem using PEMDAS, pick an example math problem. Let’s use: 10 - 3 x (5-3)^2 + 8 ÷ 2 = ??

    • 2

      Start by solving inside the parentheses.

      (5-3) = 2

      This give: 10 - 3 x (2)^2 + 8 ÷ 2 = ??

    • 3

      Next, solve the exponents

      (2)^2 = 4

      This gives: 10 – 3 x 4 + 8 ÷ 2 = ??

    • 4

      Then work on multiplication and division.

      3 x 4 = 12 and 8 ÷ 2 = 4

      This gives: 10 – 12 + 4 = ??

    • 5

      Finally, work out the addition and subtraction.

      10 – 12 + 4 = 2

      This means: 10 - 3 x (5-3)^2 + 8 ÷ 2 = 2

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