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Order of Operations (Grade 5)

Related Topics:
Common Core for Grade 5
More Lessons for Grade 5

Example, solutions, videos, and lessons to help Grade 5 students learn to use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Common Core: 5.OA.1

Suggested Learning Targets

  • I can use parentheses and brackets to group an expression within a multi-step expression.
  • I can evaluate expressions with parentheses and brackets.
The following diagram gives the PEMDAS rule for the order of operations. Scroll down the page for more examples and solutions.


( ) are called parentheses
[ ] are called brackets
{ } are called braces

Activity 1:
Evaluate the following expression
(90 – 48) ÷ 6 + 2
Use what you know about order of operations to explain why your answer is correct.

Activity 2:
What number can you substitute for s to make the equation true?    
s x (9 + 11) = 6 x 11 + 6 x 9
Explain how you found your answer.

Order of Operations, Common Core 5.OA.1
NOTE: Challenge problem #5 should have a brace after the close-bracket. Using the order of operations for an expression with two parentheses

Evaluating an expression with and without parentheses Simplifying an expression with brackets and parentheses Review of order of operations with parentheses and brackets Simplifying an expression with parentheses and brackets Solving math equations with parentheses Order of Operations With Embedded Parentheses

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

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