Long Division

Order of Operations Calculator (BODMAS / PEMDAS)

Calculate any arithmetic expression using the correct order of operations. Known as BODMAS or BIDMAS in the UK, PEMDAS in the US, and BEDMAS in Canada — all the same rules, different names. The calculator shows exactly which operation is performed at each stage.

+×

3 + 4 × 2

How it works

Identify the BODMAS order
BODMAS: Brackets first, then Orders (powers/roots), then Division and Multiplication (left to right), then Addition and Subtraction (left to right).
Multiplication and Division: 4 × 2
$4 \times 2 = 8$
Perform multiplication and division: 4 × 2 = 8.
Result:8
Addition and Subtraction: 3 + 8
$3 + 8 = 11$
Perform addition and subtraction: 3 + 8 = 11.
Result:11
Final result
Following BODMAS, the result is 11.
Result:11

BODMAS / BIDMAS / PEMDAS / BEDMAS — same rules, different names

\underbrace{B}_{\text{Brackets}} \; \underbrace{O}_{\text{Orders}} \; \underbrace{D \div M}_{\text{left to right}} \; \underbrace{A + S}_{\text{left to right}}

B / P

Brackets (UK) · Parentheses (US) — always first

O / I / E

Orders · Indices · Exponents — powers and roots

D, M

Division and Multiplication — equal priority, left to right

A, S

Addition and Subtraction — equal priority, left to right

Example substitution

3 + 4 \times 2 = 3 + 8 = 11

Multiplication before addition — the same result whether you use BODMAS, PEMDAS, BIDMAS or BEDMAS.

Worked examples

Calculate 2 + 3 × 4 using BODMAS.

1
Multiplication first: 3 × 4 = 12
2
Then addition: 2 + 12 = 14

Answer: 14 (NOT 20)

Calculate (2 + 3) × 4 using BODMAS.

1
Brackets first: 2 + 3 = 5
2
Then multiplication: 5 × 4 = 20

Answer: 20

Calculate 10 − 2 × 3 + 8 ÷ 4 using BODMAS.

1
× and ÷ first: 2 × 3 = 6, 8 ÷ 4 = 2
2
Then + and −: 10 − 6 + 2 = 6

Answer: 6

Frequently asked questions

What does BODMAS stand for?+

Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction. Used in the UK, Ireland, and many Commonwealth countries.

What does PEMDAS stand for?+

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction — the US equivalent of BODMAS. Both give the same answer; only the names differ.

What is BIDMAS?+

Brackets, Indices, Division, Multiplication, Addition, Subtraction — another UK/Australian variant. "Indices" and "Orders" mean the same thing (powers and roots).

What is BEDMAS?+

Brackets, Exponents, Division, Multiplication, Addition, Subtraction — used in Canada and parts of Australia. Identical rules to BODMAS/PEMDAS.

What is 3 + 4 × 2?+

3 + 4 × 2 = 3 + 8 = 11. Multiplication comes before addition in all order-of-operations rules.

What is (3 + 4) × 2?+

(3 + 4) × 2 = 7 × 2 = 14. Brackets / parentheses are always calculated first.

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