Decimal Order of Operations (PEMDAS) Solver
Solve complex math expressions with decimals and brackets. This educational tool breaks down the solution step-by-step following PEMDAS/BODMAS rules.
About
In mathematics, the order in which you solve an equation changes the result entirely. The acronym PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) provides the roadmap for navigating complex expressions. When decimals are involved, the precision required increases.
This tool is designed for students and professionals who need to verify their manual calculations. It parses the expression and solves it one layer at a time, highlighting exactly which part of the equation is being processed in each step, ensuring you understand the how and not just the what.
Formulas
The solver follows standard algorithmic logic for operator precedence.
- Step 1. Scan for deepest nested Parentheses (...) and solve content.
- Step 2. Resolve Exponents (^) from right to left.
- Step 3. Perform Multiplication and Division from left to right.
- Step 4. Perform Addition and Subtraction from left to right.
Reference Data
| Acronym | Full Name | Action | Example |
|---|---|---|---|
| P / B | Parentheses / Brackets | Solve inside ( ) first | (2 + 3) → 5 |
| E / O | Exponents / Orders | Powers and Square Roots | 32 → 9 |
| M / D | Multiplication / Division | Left to Right priority | 10 ÷ 2 × 5 → 25 |
| A / S | Addition / Subtraction | Left to Right priority | 10 - 2 + 5 → 13 |