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Order of operations

Method: BODMAS

When a calculation has more than one operation, there is an order: brackets first, then × and ÷, then + and −. For 3 + 4 × 2, do 4 × 2 = 8 first, then 3 + 8 = 11 — not left to right. Brackets override everything: (3 + 4) × 2 = 14.

Explore this idea with maths tools

Maths you can move

Build 8 + 5

Tap two gold counters to fill the ten-frame.

8 in the frame + 5 waiting. The total stays the same.

Words to know

operation
a step like +, −, × or ÷
brackets
grouping symbols done first

Worked examples

3 + 4 × 2

  1. 1.× before +: 4 × 2 = 8.
  2. 2.3 + 8 = 11.

= 11

20 − 6 ÷ 2

  1. 1.÷ before −: 6 ÷ 2 = 3.
  2. 2.20 − 3 = 17.

= 17

(3 + 4) × 2

  1. 1.Brackets first: 3 + 4 = 7.
  2. 2.7 × 2 = 14.

= 14

For parents

Method: BODMAS/BIDMAS.

What to say: Name the operations aloud and underline the × or ÷ to do first.

Common mistakes:

  • Working strictly left to right (3 + 4 × 2 → 14).
  • Multiplying every number together.