Core Arithmetic
Order of Operations & Equations
Solve equations and master BODMAS/PEMDAS with nested operations step-by-step.
Lessons included in this chapter:
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What is BODMAS?:
Brackets → Orders → Division/Multiplication (left to right) → Addition/Subtraction (left to right).
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Why BODMAS Matters:
Every device and program applies this sequential hierarchy. It guarantees exactly one outcome.
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The Step-by-Step Order Table:
1: Brackets, 2: Powers, 3: Div/Mult (equal priority!), 4: Add/Sub (equal priority!).
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Brackets — Always First:
Brackets act as isolated mini-calculations. Round brackets, square boxes, and curly braces.
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Orders — Powers and Roots:
A square like 6² or root like √36 takes higher priority than multiplication.
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Division & Multiplication Priority:
When both division and multiplication appear, solve strictly from left to right.
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Addition & Subtraction Priority:
Proceed strictly from left to right to prevent negative sign distribution bugs.
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Solving Linear Equations:
Undo operations: addition becomes subtraction, multiplication becomes division.
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