Order of Operations With Parentheses, Brackets and Braces Worksheets for 5th Grade

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Grade 5MathMultiplication & DivisionCCSS 5.OA.A.1

Skill: Evaluating expressions with nested parentheses, brackets and braces

Preview of the Order of Operations With Parentheses, Brackets and Braces printable worksheet
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Teaching tips and what to try next

With parentheses inside brackets inside braces, work from the innermost group outward. Have your child underline the innermost group before each step. Review Order of Operations With Parentheses and Brackets if needed, or try Writing Numerical Expressions.

10 versions, each with its own answer key

Same skill and layout, a fresh set of problems in every version, so children can keep practicing without repeating a page. Problems are not repeated between versions unless a skill has only a small number of possible problems (for example, the addition facts within 10).

Download all 10 versions (one PDF)All 10 answer keys (PDF)

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About this worksheet

Fifth graders are expected to evaluate expressions that use parentheses, brackets and braces. This worksheet focuses on nesting, where one grouping sits inside another. Part A has six expressions with parentheses inside brackets, such as 3 x [(4 + 9) + 6]. Part B has eight expressions with all three symbols, such as {2 + [9 x (19 - 5)]} + 9.

Every step works out to a whole number, every division is exact, and every answer is between 1 and 999. Each of the 10 versions has new expressions.

How to use it: teach your child to work from the inside out. Solve the parentheses first and rewrite the expression with that answer, then solve the brackets, then the braces, then anything left outside. Rewriting the whole expression after each step takes a little longer but prevents almost every mistake. Inside a grouping, the usual order still applies: multiply and divide from left to right, then add and subtract.

The answer key gives every value. For more practice, see our Order of Operations worksheet and our Writing Numerical Expressions worksheet.