Order of Operations

Order of Operations: Learn

The order of operations are rules that govern which mathematical operations are done first.

In school you may have learned about PEMDAS or PEMA, which orders the operations like this:

  • Parentheses (and other grouping operators like straight brackets [], fraction bars, and radicals)
  • Exponents
  • Multiplication and Division
  • Addition and Subtraction

If there are multiple nested parentheses/brackets, do the innermost first, following the same ordering rules for operations inside.

Example: Evaluate 2+3*[4+(6*3-8)]*2 using proper order of operations.

2+3*[4+(6*3-8)]*2
2+3*[4+(18-8)]*2
2+3*[4+(10)]*2
2+3*[14]*2
2+42*2
2+84
86

Order of Operations: Practice

Evaluate using proper order of operations.

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