Order of Operations with Exponents Worksheet

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Free printable and online worksheets to help Grade 6 students learn how to evaluate expressions using order of operations (PEMDAS). The expressions include parentheses & exponents.

Order of Operations with Exponents

Understanding and correctly using the order of operations is crucial for solving mathematical expressions accurately. The order of operations is a set of rules that dictates the sequence in which operations should be performed to ensure consistent results. Here’s a comprehensive guide to help you use the order of operations:

The order of operations can be remembered using the acronym PEMDAS:

1. Parentheses
2. Exponents (or powers and roots, such as squares and square roots)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Steps to Follow
Parentheses:
Perform all operations inside parentheses first.
If there are nested parentheses, work from the innermost to the outermost.

Exponents:
Evaluate all exponents (powers and roots).

Multiplication and Division:
Perform all multiplication and division operations from left to right. These operations are of equal precedence, so you do them in the order they appear from left to right.

Addition and Subtraction:
Perform all addition and subtraction operations from left to right. These operations are also of equal precedence, so you do them in the order they appear from left to right.

Key Points to Remember

• Work from the inside out when dealing with nested parentheses.
• Exponents come after parentheses but before any multiplication, division, addition, or subtraction.
• Perform multiplication and division from left to right as they appear in the expression.
• Perform addition and subtraction from left to right as they appear in the expression.

By consistently applying these rules, you can accurately solve mathematical expressions and ensure your calculations are correct. Practicing with different examples will help reinforce these concepts.

Have a look at this video if you need to review how to use order of operations with parentheses and exponents.

• Order of Operations with Parentheses and Exponents

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More Order of Operations with Exponents Worksheets

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(Answers on the second page.)
Order of Operations with Exponents Worksheet #1
Order of Operations with Exponents Worksheet #2
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Order of Operations with Exponents

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