Order of Operations (PEMDAS) Practice Problems & Step Solutions
The order of operations establishes the universal precedence for mathematical expressions: Parentheses, Exponents, Multiplication & Division (left to right), and Addition & Subtraction (left to right).
๐ง Core Problem-Solving Strategies
๐ฏ The "Left-to-Right" Grouping Rule
Multiplication does NOT automatically come before Division. They have equal priority and are solved strictly left-to-right (e.g. 12 รท 3 ร 2 = 4 ร 2 = 8).
๐งฑ Inside-Out Parentheses
Always evaluate innermost parentheses first before working outward: 3 ร (2 + (5 โ 1)) = 3 ร (2 + 4) = 3 ร 6 = 18.
โก Exponents Before Products
In expressions like 4 ร 3ยฒ, evaluate the power first: 4 ร 9 = 36, never (4 ร 3)ยฒ.
โ Frequently Asked Questions
Why is PEMDAS also called BODMAS or GEMDAS?
PEMDAS (US) uses Parentheses/Exponents. BODMAS (UK/India) uses Brackets/Orders. GEMDAS uses Grouping symbols. All enforce the exact same mathematical precedence.
What is the most common mistake students make with PEMDAS?
Assuming addition always comes before subtraction. Like multiplication and division, addition and subtraction are evaluated strictly from left to right.
Continue Learning & Practicing
Reinforce your understanding with printable worksheets, step-by-step guides, calculators, and speed games: