Order of operations

An expression has a fixed order: parentheses, powers, multiplication and division, then addition and subtraction. Basic calculators sometimes ignore it.

About: Order of operations

An expression has a fixed order: parentheses, powers, multiplication and division, then addition and subtraction. Basic calculators sometimes ignore it.

Worked examples

  1. Calculate: 12 + 6 × 5

    Answer: 42. Order: parentheses; then multiplication and division, left to right; then addition and subtraction. Result: 42.

  2. Calculate: 4 × 3 − 12 ÷ 2

    Answer: 6. Order: parentheses; then multiplication and division, left to right; then addition and subtraction. Result: 6.

  3. Calculate: 3 + 6 × 7

    Answer: 45. Order: parentheses; then multiplication and division, left to right; then addition and subtraction. Result: 45.

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