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Pemdas

PEMDAS

PEMDAS is an acronym that stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It’s a set of rules that determine the order in which mathematical operations should be performed to ensure accurate results.

Here’s a breakdown of each step:

  1. Parentheses: Any expressions within parentheses should be calculated first.
  2. Exponents: Any exponents or powers should be evaluated next.
  3. Multiplication and Division: Perform multiplication and division operations in order, from left to right. If both operations are present, the one encountered first should be performed.
  4. Addition and Subtraction: Perform addition and subtraction operations in order, from left to right. If both operations are present, the one encountered first should be performed.

By following these steps in order, you can correctly solve complex mathematical expressions that involve multiple operations.

Here’s an example to illustrate PEMDAS:

1
20 - (5 + 3 * 2) ^ 2 / 4

  1. Parentheses: First, calculate the expression within the parentheses: 

    1
2
    20 - (5 + 6) ^ 2 / 4
20 - 11 ^ 2 / 4

  2. Exponents: Next, calculate the exponent: 

    1
    20 - 121 / 4

  3. Division: Perform the division: 

    1
    20 - 30.25

  4. Subtraction: Finally, perform the subtraction: 

    1
    -10.25

Therefore, the value of the expression is -10.25.

By using PEMDAS, you can ensure that you always get the correct answer when evaluating mathematical expressions.