Order of Operations with Exponents

Order of operations provides a common approach to evaluating numerical expressions that include addition, subtraction, multiplication, division, parenthesis (brackets) and exponents (indices) across mathematical and scientific disciplines throughout the world.

These worksheets enable a smooth transition from the basic four operations calculated separately to solving algebraic equations that requires a good mastery of the order of operations.

Differentiated worksheets
The worksheets are structured to progressively challenge and develop your students skills in this topic:

Set 1: We begin by reviewing the order of operations without exponents
Set 2: Exponents are introduced into numerical expressions either a mix of addition and subtraction or multiplication without parentheses
Set 3: Parentheses are now added into numerical expressions either a mix of addition and subtraction or multiplication and division
Set 4: Each question contains all the elements of PEMDAS (or BODMAS) except parentheses using 3 to 6 numbers
Set 5: Each question contains all the elements of PEMDAS (or BODMAS) again using 3 to 6 numbers
Set 6: Challenge 1. Students are presented with numerical equations that need a parenthesis to be added to make the equations true. Excellent practice using trial and error and learning to record all trials right and wrong.
Set 7: Challenge 2. Each question now has 6 or 7 digits and all the elements of PEMDAS
Set 8: Challenge 3. Word base problems need to be translated into numerical expressions and solved

How many worksheets are there in total ?
Virtually unlimited … There are 8 Sets, BUT, at the click of a button numbers are randomised, so the questions change which allows you to create new worksheets at any level for extra practice or revision throughout the year or even give groups of pupils within your class different sets of questions.

No-Prep Worksheets
These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed.

Answers are automatically generated every time.

Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

You may also like Order of Operations WITHOUT Exponents