BIMDAS / BODMAS / PEMDAS Order of Operations Calculator
Step-by-step arithmetic solver explaining Brackets, Indices, Multiplication, Division, Addition & Subtraction.
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Formula & How BIMDAS / BODMAS / PEMDAS Order of Operations Calculator Works
BIMDAS (also called BODMAS or PEMDAS) is the order in which a calculation is solved: brackets first, then indices (powers and roots), then multiplication and division from left to right, then addition and subtraction from left to right. The well-known expression 8 ÷ 2 × (2 + 2) shows why the order matters. Brackets come first, giving 8 ÷ 2 × 4. Multiplication and division then have equal rank and are worked left to right: 8 ÷ 2 = 4, and 4 × 4 = 16. Reading the expression as 8 ÷ (2 × 4) = 1 is a common mistake. Enter the full expression and the calculator shows each step so you can see exactly where each operation was applied.
- Enter Math Expression / Equation: Input your target parameter value.
- Apply Formula: Calculate using
B (Brackets) → I (Indices) → M & D (Left to Right) → A & S (Left to Right). - Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)
What does 8 ÷ 2(2+2) equal?
8 ÷ 2(2+2) = 16. First solve the brackets (2+2 = 4) → 8 ÷ 2 × 4. Then evaluate division and multiplication from left to right: (8 ÷ 2) = 4 → 4 × 4 = 16.
What is the difference between BIMDAS, BODMAS, and PEMDAS?
They are regional acronyms for the same hierarchy: BIMDAS (Australia - Indices), BODMAS (UK/Commonwealth - Orders), PEMDAS (USA - Parentheses & Exponents), and BEDMAS (Canada).
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