Order of Operations
Apply PEMDAS correctly: grouping symbols, powers, multiply/divide left to right, then add/subtract. Build Grade 9 algebra accuracy from the ground up.
Key Concepts
Property The rules for simplifying: 1. Grouping Symbols. 2. Powers. 3. Multiply/Divide (left to right). 4. Add/Subtract (left to right).
Examples $4^3 + 10 \div 2 3 \cdot 5 = 64 + 5 15 = 54$ $(12 5) \cdot 2 + 1 = 7 \cdot 2 + 1 = 14 + 1 = 15$ $45 (2+4) \cdot 5 = 45 6 \cdot 5 = 45 30 = 15$.
Explanation Remember PEMDAS! It's the official roadmap for solving expressions. First, handle all operations inside parentheses. Then, simplify any exponents. Next, perform all multiplication and division from left to right. Finally, complete the addition and subtraction, also from left to right. This process ensures one consistent, correct answer.
Common Questions
What is the correct order of operations in algebra?
Follow PEMDAS: (1) Grouping symbols, (2) Powers/exponents, (3) Multiply and divide left to right, (4) Add and subtract left to right.
How do nested grouping symbols work?
Work from the innermost grouping symbol outward. Evaluate what is inside brackets or parentheses first, then continue with remaining operations.
Why does order of operations matter?
Without consistent rules, the same expression yields different answers. Order of operations ensures 3+4x2 equals 11, not 14, every single time.