Order of operations
This Grade 6 algebra skill from Yoshiwara Elementary Algebra teaches students the order of operations for evaluating numerical and algebraic expressions. Students learn and apply PEMDAS—Parentheses, Exponents, Multiplication and Division (left to right), and Addition and Subtraction (left to right)—to ensure consistent results.
Key Concepts
Property 1 Perform any operations inside parentheses, or above or below a fraction bar.
2 Compute all indicated powers.
3 Perform all multiplications and divisions in the order in which they occur from left to right.
Common Questions
What is the order of operations?
The order of operations (PEMDAS) tells you which calculations to do first: Parentheses, Exponents, Multiplication and Division (left to right), then Addition and Subtraction (left to right).
Why do we need a specific order of operations?
Without a consistent order, the same expression could give different answers. The order of operations ensures everyone computes the same result.
How do you apply PEMDAS to an expression like 3 + 4 × 2?
Do multiplication first: 4 × 2 = 8, then add 3: 3 + 8 = 11. The answer is 11, not 14.
What happens if there are nested parentheses?
Evaluate the innermost parentheses first, working outward.
Where is order of operations taught in Grade 6?
Order of operations is covered in the Yoshiwara Elementary Algebra textbook for Grade 6.