order of operations
Order of Operations is a Grade 8 math skill in Saxon Math Course 3, Chapter 3, where students apply PEMDAS (Parentheses, Exponents, Multiplication and Division left to right, Addition and Subtraction left to right) to evaluate multi-step expressions correctly. Consistent application of order of operations is critical for all of algebra and prevents common calculation errors.
Key Concepts
Property 1. Parentheses, 2. Exponents, 3. Multiply and Divide (from left to right), 4. Add and Subtract (from left to right).
Examples $20 2 \cdot 3^2 + (7+8) \div 5 = 5$ $10 \{8 [6 (5 3)]\} = 6$ $3+3 \times 3 3 \div 3 = 11$.
Explanation Remember PEMDAS: P lease E xcuse M y D ear A unt S ally! This is the ultimate rulebook for solving math problems with multiple steps. Following this order ensures that everyone gets the same correct answer, preventing total mathematical chaos. It's the law!
Common Questions
What is the order of operations?
The order of operations is the rule for which calculations to perform first: Parentheses, Exponents, Multiplication and Division (left to right), then Addition and Subtraction (left to right). The acronym PEMDAS helps remember the order.
What does PEMDAS stand for?
PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Multiplication and division have equal priority and are done left to right, as are addition and subtraction.
Why do multiplication and division have equal priority?
Division is the same as multiplying by a reciprocal, so they are on the same level. You perform whichever comes first reading left to right.
What happens if you ignore the order of operations?
Performing operations in the wrong order produces a different and incorrect answer. Order of operations ensures all mathematicians evaluate the same expression the same way.
Where is order of operations taught in Grade 8?
Order of operations is covered in Saxon Math Course 3, Chapter 3: Number and Operations.