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Grade 5 Maths · Unit 2: Multi-digit operations

Order of operations

Work out calculations with brackets, ×, ÷, + and − in the right order.

When a calculation has more than one operation, there is an agreed order. First work out anything in brackets. Then multiply and divide, from left to right. Last, add and subtract, from left to right.

So 2 + 9 × 7 is 2 + 63 = 65, not 11 × 7. Brackets change the order: (2 + 9) × 7 = 77. Some people remember the order as PEMDAS or BODMAS, but the idea is the same everywhere.

Worked example

30 − 4 × (2 + 3) =

  1. Brackets first: 2 + 3 = 5.
  2. Then multiply: 4 × 5 = 20. Then subtract: 30 − 20 = 10.

Answer:10

Key words

brackets
the ( ) signs that are worked out first
operation
+, −, × or ÷
expression
numbers and operations without an equals sign
Practise this

New questions every time.

Common Core-referenced: 5.OA.A.1