What PEMDAS practice modes are included?

Students can practice: 1) 2-Step Operations (e.g. 4 + 5 × 3), 2) Parentheses First (e.g. (8 - 3) × 4), 3) Exponents and Multi-Step, and 4) Mixed Speed Sprint.

How does the game explain PEMDAS mistakes?

When an incorrect answer is submitted, the game provides the exact step-by-step intermediate evaluation showing which operator takes precedence and why.

Are there ads during active gameplay?

No. PanMaths enforces a strict zero-ad policy during active gameplay for distraction-free learning.

Order of Operations (PEMDAS) Speed Game | Free Online Math Practice | PanMaths

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Grades 5–8CCSS.MATH.CONTENT.5.OA.A.1 • 6.EE.A.2

Order of Operations (PEMDAS/BODMAS) Step-by-Step

The order of operations guarantees there is only ONE correct mathematical answer to any multi-operator expression. Follow the strict hierarchical precedence: Parentheses, Exponents, Multiplication & Division (Left to Right), Addition & Subtraction (Left to Right).

🧠 Core Mental Strategies & Shortcuts

1️⃣ Parentheses First: ( )

Always evaluate expressions inside parentheses before anything else: 3 × (4 + 5) = 3 × 9 = 27.

2️⃣ Exponents & Powers: x²

Calculate powers next: 2 + 3² = 2 + 9 = 11.

3️⃣ Multiply & Divide from Left to Right

Multiplication does NOT always come before division! Evaluate whichever appears first from left to right: 20 ÷ 4 × 2 = 5 × 2 = 10.

❓ Frequently Asked Questions

What is the difference between PEMDAS and BODMAS?

They are identical rules with regional naming: PEMDAS is used in the US (Parentheses, Exponents), BODMAS is used in the UK/India/Australia (Brackets, Orders).

Need Classroom Worksheets or Guides?

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Order of Operations (PEMDAS / BODMAS) Rules & Practice (Grades 5–8)

When an algebraic expression contains multiple arithmetic operations, standard precedence rules dictate the exact sequence of calculations. Remembering the acronym PEMDAS (Parentheses, Exponents, Multiplication & Division from left to right, Addition & Subtraction from left to right) guarantees reliable mathematical solutions.

⚡ Precedence Hierarchy

1. Parentheses (Brackets)
2. Exponents (Powers & Roots)
3. Multiplication & Division (Equal priority, left to right)
4. Addition & Subtraction (Equal priority, left to right)

🚫 The #1 Common Mistake

Calculating strictly left-to-right on 3 + 4 × 2. Adding first gives (3 + 4) × 2 = 14 (incorrect!). Multiplying first gives 3 + 8 = 11 (correct!).

Need printable classroom PEMDAS sheets or step-by-step guides?

Print PEMDAS Worksheets →PEMDAS Learn Guide →