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BIMDAS / BODMAS / PEMDAS Order of Operations Calculator

Step-by-step arithmetic solver explaining Brackets, Indices, Multiplication, Division, Addition & Subtraction.

Input Parameters

Calculation Results

Evaluated Result
16
Expression Format
8 / 2 * (2 + 2)
Regional Naming
BIMDAS (AU) | BODMAS (UK/IN) | PEMDAS (US) | BEDMAS (CA)
Summary: 8 / 2 * (2 + 2) = 16. Multiplication and division share equal precedence and must be solved from left to right.
Step-by-Step Calculation Solution
1.1. Brackets (B / P): Evaluate inner grouping first
2.2. Indices (I / E / O): Evaluate exponents and square roots
3.3. Multiplication & Division (M & D): Evaluate from LEFT to RIGHT in equal precedence order
4.4. Addition & Subtraction (A & S): Evaluate from LEFT to RIGHT in equal precedence order
5.Final Evaluated Result = 16

Formula & How BIMDAS / BODMAS / PEMDAS Order of Operations Calculator Works

Mathematical Formula
B (Brackets) → I (Indices) → M & D (Left to Right) → A & S (Left to Right)

Multiplication and division have EQUAL priority and must be solved in order from left to right. Similarly, addition and subtraction share equal precedence. In Australia it is known as BIMDAS (Brackets, Indices, Multiplication, Division, Addition, Subtraction); in the UK & India as BODMAS; and in the USA as PEMDAS.

How to Calculate BIMDAS / BODMAS / PEMDAS Order of Operations Calculator (Step-by-Step)
  1. Enter Math Expression / Equation: Input your target parameter value.
  2. Apply Formula: Calculate using B (Brackets) → I (Indices) → M & D (Left to Right) → A & S (Left to Right).
  3. 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).

Official Regulatory & Government Data Sources

Authoritative Standards & Verified Reference Citations

Independent & Verified

Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

Australian Government Data Portal (data.gov.au)Government
Commonwealth of Australia

Open government data, scientific datums, and public sector mathematical reference datasets.

data.gov.au
National Measurement Institute (NMI)Government
Australian Department of Industry, Science and Resources

Australia's national authority on physical, chemical, and biological metric measurement standards.

www.industry.gov.au/national-measurement-institute

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