Order of operations with exponents worksheet pdf with answers

ORDER OF OPERATIONS WORKSHEETS

These Order of Operations worksheets are the best for children who need to solve mathematical expressions which involves more than one fundamental arithmetic operation. You can also call it PEDMAS worksheets. Thus order of operations are just a set of rules that tell you the order in which math operation (Addition/ Subtraction/ Multiplication/ Division) should be done.

Let us learn to solve arithmetic expressions

Let us consider the expression 10- 2 x 3.
If we subtract first 10 - 2 x 3 = 8 x 3 = 24
If we multiply first 10- 2 x 3 = 10- 6 = 4

We are getting two different answers. Hence, to avoid confusions and always arrive the correct answer, we follow a definite order to evaluate an expression.

The rules to follow when you evaluate an arithmetic expression.
1. Do operations in Parentheses first
2. Exponents
3. Multiplication/ Division (Go from left to right, do whichever operation comes first)
4. Addition/ Subtraction (Go from left to right, do whichever operation comes first)

Parentheses→Exponents→Division→Multiplication→Addition→Subtraction. Form an acronym, PEDMAS rule of Operations.

A few arithmetic expressions have been evaluated step- by- step using PEDMAS for easy understanding. Have a look before you download our free worksheets for practice.

Order of operations with exponents worksheet pdf with answers
  
Order of operations with exponents worksheet pdf with answers

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These order of operations worksheets mix basic arithmetic, including parentheses and exponents, and tests students understanding of PEMDAS. If you are looking for order of operations worksheets that test your knowledge of the PEMDAS rules, these math worksheets are a good start. You can also find order of operations worksheets with negative numbers and order of operations worksheets with comparisons on those other worksheet pages of the site.

Order of Operations With Hints


Basic Order of Operations


Order of Operations With Parentheses


Order of Operations With Exponents


More Complex Order of Operations


Order of Operations Nested Parentheses


Order of Operations (PEMDAS)

These order of operations worksheets will get your PEMDAS skills in operational order! PEMDAS is a mnemonic for Parentheses, Exponents, Multiplication, Division, Addition and Subtraction. This is the order in which operations are applied to solve more complex math problems that have multiple terms and multiple operations. Knowing how to solve order of operations problems is a critical prerequisite for algebra, and using PEMDAS as your mental cue to get the order of operations in math problems in general down first will make solving those equations a lot less confusing.

These worksheets introduce each PEMDAS step individually. The first set introduces parentheisis, including multiple sets of nesting. Next, we add order of operations with exponents to the mix. Finally, the basic math operations are introduced. By introducing each component of PEMDAS incrementally, a solid knowledge of the order of operations rules is reinforced. When the student is ready, this series of worksheets concludes with more complex practice problems.

Order of operations with exponents worksheet pdf with answers

Find here an unlimited supply of worksheets for the order of operations for grades 2-9 that use addition, subtraction, multiplication, division, exponents, and/or parentheses. The worksheets are available both in PDF and html formats (html is editable) and can be customized in multitudes of ways.


Basic instructions for the worksheets

Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.

You can generate the worksheets either in html or PDF format — both are easy to print. To get the PDF worksheet, simply push the button titled "Create PDF" or "Make PDF worksheet". To get the worksheet in html format, push the button "View in browser" or "Make html worksheet". This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then edit it in Word or other word processing program.

Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:

  • PDF format: come back to this page and push the button again.
  • Html format: simply refresh the worksheet page in your browser window.

Worksheets for the order of operations

The worksheets below are already configured for you — just click on the links. They are randomly generated, so you will get a new one each time you click the links.

Addition & subtraction only, numbers within 0-10, no parenthesis
(grades 1-2)

  View in browser     Create PDF

Addition and subtraction only, within 0-30, including parenthesis
(grades 2-3)

  View in browser     Create PDF

The basic operations, no parenthesis, using four numbers (grades 3-4)

  View in browser     Create PDF

The basic operations, with parenthesis (grades 4-5)

  View in browser     Create PDF

All five operations, no parenthesis (grade 6)

  View in browser     Create PDF

Two or three operations, uses the fraction line, no negative numbers & no exponents (grade 6)

  View in browser     Create PDF

Two or three operations, no negative numbers, includes exponents (grades 6-7)

  View in browser     Create PDF

Two, tree, or four operations, no negative numbers, includes exponents (grades 6-7)

  View in browser     Create PDF

Two operations, uses the fraction line & fractions, uses negative numbers & no exponents (grades 7-8)

  View in browser     Create PDF

Two or three operations, uses the fraction line & fractions, uses negative numbers & no exponents (grades 7-9)

  View in browser     Create PDF

Two or three operations, negative numbers, exponents (grades 7-9)

   View in browser     Create PDF

Challenge: three or four operations, negative numbers, exponents
(grades 7-9)

  View in browser     Create PDF


See also

Math Safe
A fun logical thinking game where you need to use the four given single-digit numbers and any of the four operations to reach the target number, and then the safe opens! It practices the usage of all four operations and also the order of operations. The game suits best grades 4 and onward.

Choose Math Operation Game
Choose the mathematical operation(s) so that the number sentence is true. Practice the role of zero and one in basic operations or operations with negative numbers. Helps develop number sense and logical thinking.

Order of operations: lesson for third grade
A free lesson for grade 3 about the order of operations. For this grade level, the lesson only deals with addition, subtraction, and multiplication.


Generators

Below you'll find TWO worksheet generators for the order of operations. The first one works best approximately for grades 1-5, and the second one for grades 5-9. Both let you customize the worksheets, in different ways.

  1. The first generator (grades 2-5) lets you choose from five different operations to include (the four basic operations plus exponents), choose to include parentheses or not, and choose the basic number ranges used in the different operations. You can use decimals or whole numbers.

    This generator uses the symbol × for multipliciation and ÷ for division, as is customary in elementary grades. You can also control the workspace below problems, font size, and the border around each problem.

    Unfortunately, the first generator does

    not work correctly if you include both exponents and parenthesis. Sorry about that! However, I feel it is STILL very useful for what it does do.

  2. The second generator (grades 6-9) includes by default all four operations and parenthesis. You can choose to include exponents or not. The second one uses a raised dot (·) for multiplication (as is customary in algebra). It uses a fraction line for division, and thus involves fractions. Again, you can include decimals or not, control the number of problems, workspace below the problems, font size, and whether there is a border around the problems.

Order of Operations Worksheet Generator 1 (grades 2-5)

Columns:   Rows:
(These determine the number of problems)

Number of empty lines below the problem (workspace)

Page orientation:
Portrait   Landscape
(PDF worksheet only; the orientation of an html worksheet can be set in the print preview of the browser)

Font:   Font Size: 

Cell Padding:

Border:     Bordercolor:

Additional title & instructions  (HTML allowed)

Order of Operations Worksheet Generator 2 (grades 5-9)

This generator uses the fraction line to indicate division, the raised dot · to indicate multiplication, and works with exponents. It includes all four operations and parenthesis by default. Thus, you can use this to generate problems suitable for approximately grades 5-9.

Include problems with:
2 operations
3 operations
4 operations
For example, 60 + (25 − 14) has two operations: one addition and one subtraction.

The problems use the four basic operations by default. You can optionally include exponents:
Include exponents
Keep everything nonnegative

A basic number range for the four basic operations:
Min: Max:

A number range for base number in exponentiation:
Min: Max:

Whole number range for exponent:
Min: Max:

The maximum number of decimal digits:

Round the answers to decimal digits.

Columns:   Rows:
(These determine the number of problems)

Number of empty lines below the problem (workspace)

Page orientation:
Portrait   Landscape
(PDF worksheet only; the orientation of an html worksheet can be set in the print preview of the browser)

Font:   Font Size: 

Cell Padding:

Border:     Bordercolor:

Additional title & instructions  (HTML allowed)

Order of operations with exponents worksheet pdf with answers


How do you solve order of operations with exponents?

The order of operations can be remembered by the acronym PEMDAS, which stands for: parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right. First, simplify what is in parentheses. Then, do any exponents. Next, multiply and divide from left to right.

How do you do order of operations?

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

What is Pemdas math?

Remember in seventh grade when you were discussing the order of operations in math class and the teacher told you the catchy acronym, “PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction) to help you remember? Memorable acronyms aren't the only way to memorize concepts.