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Order of operations

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Math for Non-Math Majors

Definition

Order of operations is a set of rules that specifies the correct sequence to evaluate a mathematical expression. It ensures consistency and avoids ambiguity in solving equations.

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5 Must Know Facts For Your Next Test

  1. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember the order.
  2. Operations inside parentheses or brackets must be performed first.
  3. Exponents (or powers) are calculated after parentheses but before multiplication, division, addition, or subtraction.
  4. Multiplication and division are performed from left to right, followed by addition and subtraction also from left to right.
  5. Ignoring the order of operations can lead to incorrect results in calculations.

Review Questions

  • What is the correct order of operations as per PEMDAS?
  • Why is it important to follow the order of operations in mathematical expressions?
  • Solve this expression following the order of operations: 3 + 6 × (5 + 4) ÷ 3 - 7
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