Order of Operations with Exponents
Order of operations with exponents is a Grade 6 math skill in Big Ideas Math Advanced 1, Chapter 1: Numerical Expressions and Factors. Students apply the PEMDAS rule — Parentheses, Exponents, Multiplication and Division (left to right), then Addition and Subtraction (left to right) — to evaluate numerical expressions containing exponents correctly.
Key Concepts
When evaluating numerical expressions with exponents, follow the order of operations: exponents are calculated before multiplication, division, addition, and subtraction (unless parentheses indicate otherwise). For expressions with multiple operations, compute exponents first, then proceed with multiplication and division from left to right, followed by addition and subtraction from left to right.
Common Questions
What is the order of operations with exponents?
The order of operations is: Parentheses first, then Exponents, then Multiplication and Division (left to right), then Addition and Subtraction (left to right). This is often remembered as PEMDAS.
Where do exponents fall in PEMDAS?
Exponents are evaluated second, right after parentheses and before multiplication, division, addition, or subtraction. For example, in 3 + 2^3, you evaluate 2^3 = 8 first, then add 3 to get 11.
Why is the order of operations important with exponents?
Without following the correct order, expressions give different (wrong) answers. For example, 2 + 3^2 equals 11 (not 25) because you evaluate 3^2 = 9 before adding 2.
What does PEMDAS stand for?
PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. It is the standard order for evaluating mathematical expressions.
Where is this skill taught in Big Ideas Math Advanced 1?
Order of operations with exponents is covered in Chapter 1: Numerical Expressions and Factors of Big Ideas Math Advanced 1, the Grade 6 math textbook.