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Order of Operations

Brackets are boxes: open them first. Then × and ÷, then + and −, each from left to right.

Which part do you work out first?

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25 9 7

Tap the sign you'd work out first.

The order

 

1. Brackets: open the boxes first.

× ÷

2. Then × and ÷, from left to right.

+ −

3. Then + and −, from left to right.

Some schools call this BODMAS, BIDMAS or PEMDAS.

Questions and answers

What is the order of operations?

It's the rule for which part of a sum to work out first, so everyone gets the same answer. Brackets come first, then multiplying and dividing, then adding and subtracting. 3 + 4 × 2 is 3 + 8 = 11, not 7 × 2 = 14.

What does BODMAS stand for?

Brackets, Orders (powers like 5²), Division and Multiplication, Addition and Subtraction. BIDMAS uses Indices for the powers, and PEMDAS (used in the USA) says Parentheses and Exponents. They all describe the same order.

Does multiplication always come before division?

No. Multiplication and division are equal partners: work them out from left to right, whichever comes first. The same goes for addition and subtraction, so 10 − 3 + 2 is 7 + 2 = 9, not 10 − 5.

What age do children learn the order of operations?

Children usually meet brackets in sums at about 9 to 10, and learn the full order of operations, often as BODMAS or BIDMAS, at about 10 to 11.