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PEAZIT Aha card

Which calculation comes first?

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Brackets first, then powers, then multiplication and division, then addition and subtraction. Work left to right within each level.

Brackets change what gets multiplied.
ExpressionFirst stepResult
2 + 3 × 43 × 4 = 1214
(2 + 3) × 42 + 3 = 520

One worked example

  1. 18 − 6 ÷ 3 × 2Division and multiplication have equal priority.
  2. 18 − 2 × 2Work left to right within this level.
  3. 18 − 4 = 14Do subtraction last.

Watch out: Multiplication does not come before division; they share a level. The same applies to addition and subtraction.

Goal, prerequisites and card origin

What you will learn: Evaluate expressions with brackets, multiplication and addition.

What you need first: Basic arithmetic operations.

An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1

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Brackets first, then powers, then multiplication and division, then addition and subtraction. Work left to right within each level.

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